1
|
Shepard C, Zhou R, Bost J, Carney TE, Yao Y, Kanai Y. Efficient exact exchange using Wannier functions and other related developments in planewave-pseudopotential implementation of RT-TDDFT. J Chem Phys 2024; 161:024111. [PMID: 38984957 DOI: 10.1063/5.0211238] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/29/2024] [Accepted: 06/19/2024] [Indexed: 07/11/2024] Open
Abstract
The plane-wave pseudopotential (PW-PP) formalism is widely used for the first-principles electronic structure calculation of extended periodic systems. The PW-PP approach has also been adapted for real-time time-dependent density functional theory (RT-TDDFT) to investigate time-dependent electronic dynamical phenomena. In this work, we detail recent advances in the PW-PP formalism for RT-TDDFT, particularly how maximally localized Wannier functions (MLWFs) are used to accelerate simulations using the exact exchange. We also discuss several related developments, including an anti-Hermitian correction for the time-dependent MLWFs (TD-MLWFs) when a time-dependent electric field is applied, the refinement procedure for TD-MLWFs, comparison of the velocity and length gauge approaches for applying an electric field, and elimination of long-range electrostatic interaction, as well as usage of a complex absorbing potential for modeling isolated systems when using the PW-PP formalism.
Collapse
Affiliation(s)
- Christopher Shepard
- Department of Chemistry, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599, USA
| | - Ruiyi Zhou
- Department of Chemistry, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599, USA
| | - John Bost
- Department of Chemistry, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599, USA
| | - Thomas E Carney
- Department of Chemistry, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599, USA
| | - Yi Yao
- Department of Chemistry, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599, USA
- Thomas Lord Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708, USA
| | - Yosuke Kanai
- Department of Chemistry, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599, USA
- Department of Physics and Astronomy, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599, USA
| |
Collapse
|
2
|
Jiao S, Li J, Qin X, Wan L, Hu W, Yang J. Complex-Valued K-Means Clustering of Interpolative Separable Density Fitting Algorithm for Large-Scale Hybrid Functional Enabled Ab Initio Molecular Dynamics Simulations within Plane Waves. J Phys Chem A 2024. [PMID: 38430107 DOI: 10.1021/acs.jpca.3c07172] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/03/2024]
Abstract
K-means clustering, as a classic unsupervised machine learning algorithm, is the key step to select the interpolation sampling points in interpolative separable density fitting (ISDF) decomposition for hybrid functional electronic structure calculations. Real-valued K-means clustering for accelerating the ISDF decomposition has been demonstrated for large-scale hybrid functional enabled ab initio molecular dynamics (hybrid AIMD) simulations within plane-wave basis sets where the Kohn-Sham orbitals are real-valued. However, it is unclear whether such K-means clustering works for complex-valued Kohn-Sham orbitals. Here, we propose an improved weight function defined as the sum of the square modulus of complex-valued Kohn-Sham orbitals in K-means clustering for hybrid AIMD simulations. Numerical results demonstrate that the K-means algorithm with a new weight function yields smoother and more delocalized interpolation sampling points, resulting in smoother energy potential, smaller energy drift, and longer time steps for hybrid AIMD simulations compared to the previous weight function used in the real-valued K-means algorithm. In particular, we find that this improved algorithm can obtain more accurate oxygen-oxygen radial distribution functions in liquid water molecules and a more accurate power spectrum in crystal silicon dioxide compared to the previous K-means algorithm. Finally, we describe a massively parallel implementation of this ISDF decomposition to accelerate large-scale complex-valued hybrid AIMD simulations containing thousands of atoms (2,744 atoms), which can scale up to 5,504 CPU cores on modern supercomputers.
Collapse
Affiliation(s)
- Shizhe Jiao
- Hefei National Research Center for Physical Sciences at the Microscale, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Jielan Li
- Hefei National Research Center for Physical Sciences at the Microscale, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Xinming Qin
- Hefei National Research Center for Physical Sciences at the Microscale, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Lingyun Wan
- Hefei National Research Center for Physical Sciences at the Microscale, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Wei Hu
- Hefei National Research Center for Physical Sciences at the Microscale, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Jinlong Yang
- Key Laboratory of Precision and Intelligent Chemistry, and Department of Chemical Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
| |
Collapse
|
3
|
Yu HM, Sharma S, Agarwal S, Liebman O, Banerjee AS. Carbon Kagome nanotubes-quasi-one-dimensional nanostructures with flat bands. RSC Adv 2024; 14:963-981. [PMID: 38188261 PMCID: PMC10768532 DOI: 10.1039/d3ra06988e] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/14/2023] [Accepted: 11/29/2023] [Indexed: 01/09/2024] Open
Abstract
In recent years, a number of bulk materials and heterostructures have been explored due their connections with exotic materials phenomena emanating from flat band physics and strong electronic correlation. The possibility of realizing such fascinating material properties in simple realistic nanostructures is particularly exciting, especially as the investigation of exotic states of electronic matter in wire-like geometries is relatively unexplored in the literature. Motivated by these considerations, we introduce in this work carbon Kagome nanotubes (CKNTs)-a new allotrope of carbon formed by rolling up Kagome graphene, and investigate this material using specialized first principles calculations. We identify two principal varieties of CKNTs-armchair and zigzag, and find both varieties to be stable at room temperature, based on ab initio molecular dynamics simulations. CKNTs are metallic and feature dispersionless states (i.e., flat bands) near the Fermi level throughout their Brillouin zone, along with an associated singular peak in the electronic density of states. We calculate the mechanical and electronic response of CKNTs to torsional and axial strains, and show that CKNTs appear to be more mechanically compliant than conventional carbon nanotubes (CNTs). Additionally, we find that the electronic properties of CKNTs undergo significant electronic transitions-with emergent partial flat bands and tilted Dirac points-when twisted. We develop a relatively simple tight-binding model that can explain many of these electronic features. We also discuss possible routes for the synthesis of CKNTs. Overall, CKNTs appear to be unique and striking examples of realistic elemental quasi-one-dimensional materials that may display fascinating material properties due to strong electronic correlation. Distorted CKNTs may provide an interesting nanomaterial platform where flat band physics and chirality induced anomalous transport effects may be studied together.
Collapse
Affiliation(s)
- Husan Ming Yu
- Department of Materials Science and Engineering, University of California Los Angeles CA 90095 USA +1-763-656-7830
| | - Shivam Sharma
- Department of Aerospace Engineering and Mechanics, University of Minnesota Minneapolis MN 55455 USA
| | - Shivang Agarwal
- Department of Electrical and Computer Engineering, University of California Los Angeles CA 90095 USA
| | - Olivia Liebman
- Department of Materials Science and Engineering, University of California Los Angeles CA 90095 USA +1-763-656-7830
| | - Amartya S Banerjee
- Department of Materials Science and Engineering, University of California Los Angeles CA 90095 USA +1-763-656-7830
| |
Collapse
|
4
|
Kar R, Mandal S, Thakkur V, Meyer B, Nair NN. Speeding-up Hybrid Functional-Based Ab Initio Molecular Dynamics Using Multiple Time-stepping and Resonance-Free Thermostat. J Chem Theory Comput 2023; 19:8351-8364. [PMID: 37933121 DOI: 10.1021/acs.jctc.3c00964] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2023]
Abstract
Ab initio molecular dynamics (AIMD) based on density functional theory (DFT) has become a workhorse for studying the structure, dynamics, and reactions in condensed matter systems. Currently, AIMD simulations are primarily carried out at the level of generalized gradient approximation (GGA), which is at the second rung of DFT functionals in terms of accuracy. Hybrid DFT functionals, which form the fourth rung in the accuracy ladder, are not commonly used in AIMD simulations as the computational cost involved is 100 times or higher. To facilitate AIMD simulations with hybrid functionals, we propose here an approach using multiple time stepping with adaptively compressed exchange operator and resonance-free thermostat, that could speed up the calculations by ∼30 times or more for systems with a few hundred of atoms. We demonstrate that by achieving this significant speed up and making the compute time of hybrid functional-based AIMD simulations at par with that of GGA functionals, we are able to study several complex condensed matter systems and model chemical reactions in solution with hybrid functionals that were earlier unthinkable to be performed.
Collapse
Affiliation(s)
- Ritama Kar
- Department of Chemistry, Indian Institute of Technology Kanpur (IITK), Kanpur 208016, India
| | - Sagarmoy Mandal
- Interdisciplinary Center for Molecular Materials and Computer Chemistry Center, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Nägelsbachstr. 25, Erlangen 91052, Germany
- Erlangen National High Performance Computing Center (NHR@FAU), Friedrich-Alexander-Universität Erlangen-Nürnberg, Martensstr. 1, Erlangen 91058, Germany
| | - Vaishali Thakkur
- Department of Chemistry, Indian Institute of Technology Kanpur (IITK), Kanpur 208016, India
| | - Bernd Meyer
- Interdisciplinary Center for Molecular Materials and Computer Chemistry Center, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Nägelsbachstr. 25, Erlangen 91052, Germany
- Erlangen National High Performance Computing Center (NHR@FAU), Friedrich-Alexander-Universität Erlangen-Nürnberg, Martensstr. 1, Erlangen 91058, Germany
| | - Nisanth N Nair
- Department of Chemistry, Indian Institute of Technology Kanpur (IITK), Kanpur 208016, India
| |
Collapse
|
5
|
Qin X, Shang H, Yang J. Efficient implementation of analytical gradients for periodic hybrid functional calculations within fitted numerical atomic orbitals from NAO2GTO. Front Chem 2023; 11:1232425. [PMID: 37577064 PMCID: PMC10413557 DOI: 10.3389/fchem.2023.1232425] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/31/2023] [Accepted: 07/13/2023] [Indexed: 08/15/2023] Open
Abstract
The NAO2GTO scheme provides an efficient way to evaluate the electron repulsion integrals (ERIs) over numerical atomic orbitals (NAOs) with auxiliary Gaussian-type orbitals (GTOs). However, the NAO2GTO fitting will significantly impact the accuracy and convergence of hybrid functional calculations. To address this issue, here we propose to use the fitted orbitals as a new numerical basis to properly handle the mismatch between NAOs and fitted GTOs. We present an efficient and linear-scaling implementation of analytical gradients of Hartree-Fock exchange (HFX) energy for periodic HSE06 calculations with fitted NAOs in the HONPAS package. In our implementation, the ERIs and their derivatives for HFX matrix and forces are evaluated analytically with the auxiliary GTOs, while other terms are calculated using numerically discretized GTOs. Several integral screening techniques are employed to reduce the number of required ERI derivatives. We benchmark the accuracy and efficiency of our implementation and demonstrate that our results of lattice constants, bulk moduli, and band gaps of several typical semiconductors are in good agreement with the experimental values. We also show that the calculation of HFX forces based on a master-worker dynamic parallel scheme has a very high efficiency and scales linearly with respect to system size. Finally, we study the geometry optimization and polaron formation due to an excess electron in rutile TiO2 by means of HSE06 calculations to further validate the applicability of our implementation.
Collapse
Affiliation(s)
- Xinming Qin
- Hefei National Research Center for Physical Sciences at the Microscale, University of Science and Technology of China, Hefei, Anhui, China
| | - Honghui Shang
- Hefei National Research Center for Physical Sciences at the Microscale, University of Science and Technology of China, Hefei, Anhui, China
| | - Jinlong Yang
- Hefei National Research Center for Physical Sciences at the Microscale, University of Science and Technology of China, Hefei, Anhui, China
- Key Laboratory of Precision and Intelligent Chemistry, University of Science and Technology of China, Hefei, Anhui, China
- Hefei National Laboratory, University of Science and Technology of China, Hefei, Anhui, China
| |
Collapse
|
6
|
Sun Q. Exact exchange with range-separated algorithm for thermodynamic limit of periodic Hartree-Fock theory. J Chem Phys 2023; 159:024108. [PMID: 37428044 DOI: 10.1063/5.0155815] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/24/2023] [Accepted: 06/20/2023] [Indexed: 07/11/2023] Open
Abstract
The expensive cost of computing exact exchange in periodic systems limits the application range of density functional theory with hybrid functionals. To reduce the computational cost of exact change, we present a range-separated algorithm to compute electron repulsion integrals for Gaussian-type crystal basis. The algorithm splits the full-range Coulomb interactions into short-range and long-range parts, which are, respectively, computed in real and reciprocal space. This approach significantly reduces the overall computational cost, as integrals can be efficiently computed in both regions. The algorithm can efficiently handle large numbers of k points with limited central processing unit (CPU) and memory resources. As a demonstration, we performed an all-electron k-point Hartree-Fock calculation for LiH crystal with one million Gaussian basis functions, which was completed on a desktop computer in 1400 CPU hours.
Collapse
Affiliation(s)
- Qiming Sun
- Quantum Engine LLC, Lacey, Washington 98516, USA
| |
Collapse
|
7
|
Qin X, Hu W, Yang J. Interpolative Separable Density Fitting for Accelerating Two-Electron Integrals: A Theoretical Perspective. J Chem Theory Comput 2023; 19:679-693. [PMID: 36693136 DOI: 10.1021/acs.jctc.2c00927] [Citation(s) in RCA: 5] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
Abstract
Low-rank approximations have long been considered an efficient way to accelerate electronic structure calculations associated with the evaluation of electron repulsion integrals (ERIs). As an accurate and efficient algorithm for compressing the ERI tensor, the interpolative separable density fitting (ISDF) decomposition has recently attracted great attention in this context. In this perspective, we introduce the ISDF decomposition from the theoretical aspects and technique details. The ISDF decomposition can construct a fully separable low-rank approximation (tensor hypercontraction factorization) of ERIs in real space with a cubic cost, offering great flexibility for accelerating high-scaling electronic structure calculations. We review the typical applications of ISDF in hybrid functionals, time-dependent density functional theory, and GW approximation. Finally, we discuss the promising directions for future development of ISDF.
Collapse
Affiliation(s)
- Xinming Qin
- Hefei National Research Center for Physical Sciences at the Microscale, Department of Chemical Physics, Synergetic Innovation Center of Quantum Information and Quantum Physics, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei, Anhui230026, China
| | - Wei Hu
- Hefei National Research Center for Physical Sciences at the Microscale, Department of Chemical Physics, Synergetic Innovation Center of Quantum Information and Quantum Physics, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei, Anhui230026, China
| | - Jinlong Yang
- Hefei National Research Center for Physical Sciences at the Microscale, Department of Chemical Physics, Synergetic Innovation Center of Quantum Information and Quantum Physics, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei, Anhui230026, China
| |
Collapse
|
8
|
Aiello CD, Abendroth JM, Abbas M, Afanasev A, Agarwal S, Banerjee AS, Beratan DN, Belling JN, Berche B, Botana A, Caram JR, Celardo GL, Cuniberti G, Garcia-Etxarri A, Dianat A, Diez-Perez I, Guo Y, Gutierrez R, Herrmann C, Hihath J, Kale S, Kurian P, Lai YC, Liu T, Lopez A, Medina E, Mujica V, Naaman R, Noormandipour M, Palma JL, Paltiel Y, Petuskey W, Ribeiro-Silva JC, Saenz JJ, Santos EJG, Solyanik-Gorgone M, Sorger VJ, Stemer DM, Ugalde JM, Valdes-Curiel A, Varela S, Waldeck DH, Wasielewski MR, Weiss PS, Zacharias H, Wang QH. A Chirality-Based Quantum Leap. ACS NANO 2022; 16:4989-5035. [PMID: 35318848 PMCID: PMC9278663 DOI: 10.1021/acsnano.1c01347] [Citation(s) in RCA: 58] [Impact Index Per Article: 29.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/04/2023]
Abstract
There is increasing interest in the study of chiral degrees of freedom occurring in matter and in electromagnetic fields. Opportunities in quantum sciences will likely exploit two main areas that are the focus of this Review: (1) recent observations of the chiral-induced spin selectivity (CISS) effect in chiral molecules and engineered nanomaterials and (2) rapidly evolving nanophotonic strategies designed to amplify chiral light-matter interactions. On the one hand, the CISS effect underpins the observation that charge transport through nanoscopic chiral structures favors a particular electronic spin orientation, resulting in large room-temperature spin polarizations. Observations of the CISS effect suggest opportunities for spin control and for the design and fabrication of room-temperature quantum devices from the bottom up, with atomic-scale precision and molecular modularity. On the other hand, chiral-optical effects that depend on both spin- and orbital-angular momentum of photons could offer key advantages in all-optical and quantum information technologies. In particular, amplification of these chiral light-matter interactions using rationally designed plasmonic and dielectric nanomaterials provide approaches to manipulate light intensity, polarization, and phase in confined nanoscale geometries. Any technology that relies on optimal charge transport, or optical control and readout, including quantum devices for logic, sensing, and storage, may benefit from chiral quantum properties. These properties can be theoretically and experimentally investigated from a quantum information perspective, which has not yet been fully developed. There are uncharted implications for the quantum sciences once chiral couplings can be engineered to control the storage, transduction, and manipulation of quantum information. This forward-looking Review provides a survey of the experimental and theoretical fundamentals of chiral-influenced quantum effects and presents a vision for their possible future roles in enabling room-temperature quantum technologies.
Collapse
Affiliation(s)
- Clarice D. Aiello
- California
NanoSystems Institute, University of California,
Los Angeles, Los Angeles, California 90095, United States
- Department
of Electrical and Computer Engineering, University of California, Los Angeles, Los Angeles, California 90095, United States
| | - John M. Abendroth
- Laboratory
for Solid State Physics, ETH Zürich, Zürich 8093, Switzerland
| | - Muneer Abbas
- Department
of Microbiology, Howard University, Washington, D.C. 20059, United States
| | - Andrei Afanasev
- Department
of Physics, George Washington University, Washington, D.C. 20052, United States
| | - Shivang Agarwal
- Department
of Electrical and Computer Engineering, University of California, Los Angeles, Los Angeles, California 90095, United States
| | - Amartya S. Banerjee
- California
NanoSystems Institute, University of California,
Los Angeles, Los Angeles, California 90095, United States
- Department
of Materials Science and Engineering, University
of California, Los Angeles, Los Angeles, California 90095, United States
| | - David N. Beratan
- Departments
of Chemistry, Biochemistry, and Physics, Duke University, Durham, North Carolina 27708, United States
| | - Jason N. Belling
- California
NanoSystems Institute, University of California,
Los Angeles, Los Angeles, California 90095, United States
- Department
of Chemistry and Biochemistry, University
of California, Los Angeles, Los Angeles, California 90095, United States
| | - Bertrand Berche
- Laboratoire
de Physique et Chimie Théoriques, UMR Université de Lorraine-CNRS, 7019 54506 Vandœuvre les
Nancy, France
| | - Antia Botana
- Department
of Physics, Arizona State University, Tempe, Arizona 85287, United States
| | - Justin R. Caram
- Department
of Chemistry and Biochemistry, University
of California, Los Angeles, Los Angeles, California 90095, United States
| | - Giuseppe Luca Celardo
- Institute
of Physics, Benemerita Universidad Autonoma
de Puebla, Apartado Postal J-48, 72570, Mexico
- Department
of Physics and Astronomy, University of
Florence, 50019 Sesto Fiorentino, Italy
| | - Gianaurelio Cuniberti
- Institute
for Materials Science and Max Bergmann Center of Biomaterials, Dresden University of Technology, 01062 Dresden, Germany
| | - Aitzol Garcia-Etxarri
- Donostia
International Physics Center, Paseo Manuel de Lardizabal 4, 20018 Donostia, San Sebastian, Spain
- IKERBASQUE,
Basque Foundation for Science, Maria Diaz de Haro 3, 48013 Bilbao, Spain
| | - Arezoo Dianat
- Institute
for Materials Science and Max Bergmann Center of Biomaterials, Dresden University of Technology, 01062 Dresden, Germany
| | - Ismael Diez-Perez
- Department
of Chemistry, Faculty of Natural and Mathematical Sciences, King’s College London, 7 Trinity Street, London SE1 1DB, United Kingdom
| | - Yuqi Guo
- School
for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, Arizona 85287, United States
| | - Rafael Gutierrez
- Institute
for Materials Science and Max Bergmann Center of Biomaterials, Dresden University of Technology, 01062 Dresden, Germany
| | - Carmen Herrmann
- Department
of Chemistry, University of Hamburg, 20146 Hamburg, Germany
| | - Joshua Hihath
- Department
of Electrical and Computer Engineering, University of California, Davis, Davis, California 95616, United States
| | - Suneet Kale
- School
of Molecular Sciences, Arizona State University, Tempe, Arizona 85287, United States
| | - Philip Kurian
- Quantum
Biology Laboratory, Graduate School, Howard
University, Washington, D.C. 20059, United States
| | - Ying-Cheng Lai
- School
of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, Arizona 85287, United States
| | - Tianhan Liu
- California
NanoSystems Institute, University of California,
Los Angeles, Los Angeles, California 90095, United States
- Department
of Chemistry and Biochemistry, University
of California, Los Angeles, Los Angeles, California 90095, United States
| | - Alexander Lopez
- Escuela
Superior Politécnica del Litoral, ESPOL, Campus Gustavo Galindo Km. 30.5 Vía Perimetral, PO Box 09-01-5863, Guayaquil 090902, Ecuador
| | - Ernesto Medina
- Departamento
de Física, Colegio de Ciencias e Ingeniería, Universidad San Francisco de Quito, Av. Diego de Robles
y Vía Interoceánica, Quito 170901, Ecuador
| | - Vladimiro Mujica
- School
of Molecular Sciences, Arizona State University, Tempe, Arizona 85287, United States
- Kimika
Fakultatea, Euskal Herriko Unibertsitatea, 20080 Donostia, Euskadi, Spain
| | - Ron Naaman
- Department
of Chemical and Biological Physics, Weizmann
Institute of Science, Rehovot 76100, Israel
| | - Mohammadreza Noormandipour
- Department
of Electrical and Computer Engineering, University of California, Los Angeles, Los Angeles, California 90095, United States
- TCM Group,
Cavendish Laboratory, University of Cambridge, J.J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom
| | - Julio L. Palma
- Department
of Chemistry, Pennsylvania State University, Lemont Furnace, Pennsylvania 15456, United States
| | - Yossi Paltiel
- Applied
Physics Department and the Center for Nano-Science and Nano-Technology, Hebrew University of Jerusalem, Jerusalem 91904, Israel
| | - William Petuskey
- School
of Molecular Sciences, Arizona State University, Tempe, Arizona 85287, United States
| | - João Carlos Ribeiro-Silva
- Laboratory
of Genetics and Molecular Cardiology, Heart Institute, University of São Paulo Medical School, 05508-900 São
Paulo, Brazil
| | - Juan José Saenz
- Donostia
International Physics Center, Paseo Manuel de Lardizabal 4, 20018 Donostia, San Sebastian, Spain
- IKERBASQUE,
Basque Foundation for Science, Maria Diaz de Haro 3, 48013 Bilbao, Spain
| | - Elton J. G. Santos
- Institute
for Condensed Matter Physics and Complex Systems, School of Physics
and Astronomy, The University of Edinburgh, Edinburgh EH9 3FD, United Kingdom
- Higgs Centre
for Theoretical Physics, The University
of Edinburgh, Edinburgh, EH9 3FD, United Kingdom
| | - Maria Solyanik-Gorgone
- Department
of Electrical and Computer Engineering, George Washington University, Washington, D.C. 20052, United States
| | - Volker J. Sorger
- Department
of Electrical and Computer Engineering, George Washington University, Washington, D.C. 20052, United States
| | - Dominik M. Stemer
- California
NanoSystems Institute, University of California,
Los Angeles, Los Angeles, California 90095, United States
- Department
of Materials Science and Engineering, University
of California, Los Angeles, Los Angeles, California 90095, United States
| | - Jesus M. Ugalde
- Kimika
Fakultatea, Euskal Herriko Unibertsitatea, 20080 Donostia, Euskadi, Spain
| | - Ana Valdes-Curiel
- California
NanoSystems Institute, University of California,
Los Angeles, Los Angeles, California 90095, United States
- Department
of Electrical and Computer Engineering, University of California, Los Angeles, Los Angeles, California 90095, United States
| | - Solmar Varela
- School
of Chemical Sciences and Engineering, Yachay
Tech University, 100119 Urcuquí, Ecuador
| | - David H. Waldeck
- Department
of Chemistry, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, United States
| | - Michael R. Wasielewski
- Department
of Chemistry, Center for Molecular Quantum Transduction, and Institute
for Sustainability and Energy at Northwestern, Northwestern University, Evanston, Illinois 60208-3113, United States
| | - Paul S. Weiss
- California
NanoSystems Institute, University of California,
Los Angeles, Los Angeles, California 90095, United States
- Department
of Materials Science and Engineering, University
of California, Los Angeles, Los Angeles, California 90095, United States
- Department
of Chemistry and Biochemistry, University
of California, Los Angeles, Los Angeles, California 90095, United States
- Department
of Bioengineering, University of California,
Los Angeles, Los Angeles, California, 90095, United States
| | - Helmut Zacharias
- Center
for Soft Nanoscience, University of Münster, 48149 Münster, Germany
| | - Qing Hua Wang
- School
for Engineering of Matter, Transport and Energy, Arizona State University, Tempe, Arizona 85287, United States
| |
Collapse
|
9
|
Bystrom K, Kozinsky B. CIDER: An Expressive, Nonlocal Feature Set for Machine Learning Density Functionals with Exact Constraints. J Chem Theory Comput 2022; 18:2180-2192. [PMID: 35235322 DOI: 10.1021/acs.jctc.1c00904] [Citation(s) in RCA: 7] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Machine learning (ML) has recently gained attention as a means to develop more accurate exchange-correlation (XC) functionals for density functional theory, but functionals developed thus far need to be improved on several metrics, including accuracy, numerical stability, and transferability across chemical space. In this work, we introduce a set of nonlocal features of the density called the CIDER formalism, which we use to train a Gaussian process model for the exchange energy that obeys the critical uniform scaling rule for exchange. The resulting CIDER exchange functional is significantly more accurate than any semilocal functional tested here, and it has good transferability across main-group molecules. This work therefore serves as an initial step toward more accurate exchange functionals, and it also introduces useful techniques for developing robust, physics-informed XC models via ML.
Collapse
Affiliation(s)
- Kyle Bystrom
- John A. Paulson School of Engineering and Applied Sciences, Harvard University, , Cambridge, Massachusetts 02138, United States
| | - Boris Kozinsky
- John A. Paulson School of Engineering and Applied Sciences, Harvard University, , Cambridge, Massachusetts 02138, United States
| |
Collapse
|
10
|
Mandal S, Kar R, Klöffel T, Meyer B, Nair NN. Improving the scaling and performance of multiple time stepping-based molecular dynamics with hybrid density functionals. J Comput Chem 2022; 43:588-597. [PMID: 35147988 DOI: 10.1002/jcc.26816] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/20/2021] [Revised: 01/07/2022] [Accepted: 01/18/2022] [Indexed: 12/18/2022]
Abstract
Density functionals at the level of the generalized gradient approximation (GGA) and a plane-wave basis set are widely used today to perform ab initio molecular dynamics (AIMD) simulations. Going up in the ladder of accuracy of density functionals from GGA (second rung) to hybrid density functionals (fourth rung) is much desired pertaining to the accuracy of the latter in describing structure, dynamics, and energetics of molecular and condensed matter systems. On the other hand, hybrid density functional based AIMD simulations are about two orders of magnitude slower than GGA based AIMD for systems containing ~100 atoms using ~100 compute cores. Two methods, namely MTACE and s-MTACE, based on a multiple time step integrator and adaptively compressed exchange operator formalism are able to provide a speed-up of about 7-9 in performing hybrid density functional based AIMD. In this work, we report an implementation of these methods using a task-group based parallelization within the CPMD program package, with the intention to take advantage of the large number of compute cores available on modern high-performance computing platforms. We present here the boost in performance achieved through this algorithm. This work also identifies the computational bottleneck in the s-MTACE method and proposes a way to overcome it.
Collapse
Affiliation(s)
- Sagarmoy Mandal
- Department of Chemistry, Indian Institute of Technology Kanpur (IITK), Kanpur, India.,Interdisciplinary Center for Molecular Materials and Computer Chemistry Center, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Erlangen, Germany.,Erlangen National High Performance Computing Center (NHR@FAU), Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany
| | - Ritama Kar
- Department of Chemistry, Indian Institute of Technology Kanpur (IITK), Kanpur, India
| | - Tobias Klöffel
- Interdisciplinary Center for Molecular Materials and Computer Chemistry Center, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Erlangen, Germany.,Erlangen National High Performance Computing Center (NHR@FAU), Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany
| | - Bernd Meyer
- Interdisciplinary Center for Molecular Materials and Computer Chemistry Center, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Erlangen, Germany.,Erlangen National High Performance Computing Center (NHR@FAU), Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany
| | - Nisanth N Nair
- Department of Chemistry, Indian Institute of Technology Kanpur (IITK), Kanpur, India
| |
Collapse
|
11
|
Computational Characterization of Nanosystems. CHINESE J CHEM PHYS 2022. [DOI: 10.1063/1674-0068/cjcp2111233] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]
|
12
|
Wu K, Qin X, Hu W, Yang J. Low-Rank Approximations Accelerated Plane-Wave Hybrid Functional Calculations with k-Point Sampling. J Chem Theory Comput 2021; 18:206-218. [PMID: 34918919 DOI: 10.1021/acs.jctc.1c00874] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The low-rank approximations of the adaptively compressed exchange (ACE) operator and interpolative separable density fitting (ISDF) algorithms significantly reduce the computational cost and memory usage of hybrid functional calculations in real space, but the lack of k-point sampling hinders their implementation in reciprocal space for periodic systems with the plane-wave basis set. Here, we combine the ACE operator and ISDF decomposition into a new ACE-ISDF algorithm for periodic systems in reciprocal space with k-point sampling. On the basis of the ACE-ISDF algorithm with the improved reciprocal space ACE operator and k-point Fourier convolution, the time complexity of the hybrid functional calculation is reduced from O(Ne4Nk2) to O(Ne3Nklog(Nk)) (Ne and Nk are the number of electrons and k-points, respectively) with a much smaller prefactor and much lower memory consumption compared to the standard method for periodic systems with a plane-wave basis set.
Collapse
Affiliation(s)
- Kai Wu
- Hefei National Laboratory for Physical Sciences at the Microscale, Department of Chemical Physics, Synergetic Innovation Center of Quantum Information and Quantum Physics, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Xinming Qin
- Hefei National Laboratory for Physical Sciences at the Microscale, Department of Chemical Physics, Synergetic Innovation Center of Quantum Information and Quantum Physics, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Wei Hu
- Hefei National Laboratory for Physical Sciences at the Microscale, Department of Chemical Physics, Synergetic Innovation Center of Quantum Information and Quantum Physics, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Jinlong Yang
- Hefei National Laboratory for Physical Sciences at the Microscale, Department of Chemical Physics, Synergetic Innovation Center of Quantum Information and Quantum Physics, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, China
| |
Collapse
|
13
|
Zhang ZL, Jiao SZ, Li JL, Wu WT, Wan LY, Qin XM, Hu W, Yang JL. KSSOLV-GPU: An efficient GPU-enabled MATLAB toolbox for solving the Kohn-Sham equations within density functional theory in plane-wave basis set. CHINESE J CHEM PHYS 2021. [DOI: 10.1063/1674-0068/cjcp2108139] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]
Affiliation(s)
- Zhen-lin Zhang
- Hefei National Laboratory for Physical Sciences at the Microscale, Department of Chemical Physics, Synergetic Innovation Center of Quantum Information and Quantum Physics, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei 230026, China
| | - Shi-zhe Jiao
- Hefei National Laboratory for Physical Sciences at the Microscale, Department of Chemical Physics, Synergetic Innovation Center of Quantum Information and Quantum Physics, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei 230026, China
| | - Jie-lan Li
- Hefei National Laboratory for Physical Sciences at the Microscale, Department of Chemical Physics, Synergetic Innovation Center of Quantum Information and Quantum Physics, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei 230026, China
| | - Wen-tiao Wu
- Hefei National Laboratory for Physical Sciences at the Microscale, Department of Chemical Physics, Synergetic Innovation Center of Quantum Information and Quantum Physics, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei 230026, China
| | - Ling-yun Wan
- Hefei National Laboratory for Physical Sciences at the Microscale, Department of Chemical Physics, Synergetic Innovation Center of Quantum Information and Quantum Physics, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei 230026, China
| | - Xin-ming Qin
- Hefei National Laboratory for Physical Sciences at the Microscale, Department of Chemical Physics, Synergetic Innovation Center of Quantum Information and Quantum Physics, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei 230026, China
| | - Wei Hu
- Hefei National Laboratory for Physical Sciences at the Microscale, Department of Chemical Physics, Synergetic Innovation Center of Quantum Information and Quantum Physics, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei 230026, China
| | - Jin-long Yang
- Hefei National Laboratory for Physical Sciences at the Microscale, Department of Chemical Physics, Synergetic Innovation Center of Quantum Information and Quantum Physics, and Anhui Center for Applied Mathematics, University of Science and Technology of China, Hefei 230026, China
| |
Collapse
|
14
|
Mandal S, Thakkur V, Nair NN. Achieving an Order of Magnitude Speedup in Hybrid-Functional- and Plane-Wave-Based Ab Initio Molecular Dynamics: Applications to Proton-Transfer Reactions in Enzymes and in Solution. J Chem Theory Comput 2021; 17:2244-2255. [PMID: 33740375 DOI: 10.1021/acs.jctc.1c00009] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Ab initio molecular dynamics (MD) with hybrid density functionals and a plane wave basis is computationally expensive due to the high computational cost of exact exchange energy evaluation. Recently, we proposed a strategy to combine adaptively compressed exchange (ACE) operator formulation and a multiple time step integration scheme to reduce the computational cost significantly [J. Chem. Phys. 2019, 151, 151102 ]. However, it was found that the construction of the ACE operator, which has to be done at least once in every MD time step, is computationally expensive. In the present work, systematic improvements are introduced to further speed up by employing localized orbitals for the construction of the ACE operator. By this, we could achieve a computational speedup of an order of magnitude for a periodic system containing 32 water molecules. Benchmark calculations were carried out to show the accuracy and efficiency of the method in predicting the structural and dynamical properties of bulk water. To demonstrate the applicability, computationally intensive free-energy computations at the level of hybrid density functional theory were performed to investigate (a) methyl formate hydrolysis reaction in neutral aqueous media and (b) proton-transfer reaction within the active-site residues of the class C β-lactamase enzyme.
Collapse
Affiliation(s)
- Sagarmoy Mandal
- Department of Chemistry, Indian Institute of Technology Kanpur (IITK), Kanpur 208016, India.,Interdisciplinary Center for Molecular Materials and Computer Chemistry Center, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Nägelsbachstr. 25, Erlangen 91052, Germany
| | - Vaishali Thakkur
- Department of Chemistry, Indian Institute of Technology Kanpur (IITK), Kanpur 208016, India
| | - Nisanth N Nair
- Department of Chemistry, Indian Institute of Technology Kanpur (IITK), Kanpur 208016, India
| |
Collapse
|
15
|
Hu W, Qin X, Jiang Q, Chen J, An H, Jia W, Li F, Liu X, Chen D, Liu F, Zhao Y, Yang J. High performance computing of DGDFT for tens of thousands of atoms using millions of cores on Sunway TaihuLight. Sci Bull (Beijing) 2021; 66:111-119. [PMID: 36654217 DOI: 10.1016/j.scib.2020.06.025] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/22/2020] [Revised: 05/25/2020] [Accepted: 06/08/2020] [Indexed: 01/20/2023]
Abstract
High performance computing (HPC) is a powerful tool to accelerate the Kohn-Sham density functional theory (KS-DFT) calculations on modern heterogeneous supercomputers. Here, we describe a massively parallel implementation of discontinuous Galerkin density functional theory (DGDFT) method on the Sunway TaihuLight supercomputer. The DGDFT method uses the adaptive local basis (ALB) functions generated on-the-fly during the self-consistent field (SCF) iteration to solve the KS equations with high precision comparable to plane-wave basis set. In particular, the DGDFT method adopts a two-level parallelization strategy that deals with various types of data distribution, task scheduling, and data communication schemes, and combines with the master-slave multi-thread heterogeneous parallelism of SW26010 processor, resulting in large-scale HPC KS-DFT calculations on the Sunway TaihuLight supercomputer. We show that the DGDFT method can scale up to 8,519,680 processing cores (131,072 core groups) on the Sunway TaihuLight supercomputer for studying the electronic structures of two-dimensional (2D) metallic graphene systems that contain tens of thousands of carbon atoms.
Collapse
Affiliation(s)
- Wei Hu
- Hefei National Laboratory for Physical Sciences at the Microscale, Department of Chemical Physics, and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
| | - Xinming Qin
- Hefei National Laboratory for Physical Sciences at the Microscale, Department of Chemical Physics, and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
| | - Qingcai Jiang
- School of Computer Science and Technology, University of Science and Technology of China, Hefei 230026, China
| | - Junshi Chen
- School of Computer Science and Technology, University of Science and Technology of China, Hefei 230026, China
| | - Hong An
- School of Computer Science and Technology, University of Science and Technology of China, Hefei 230026, China.
| | - Weile Jia
- Department of Mathematics, University of California, Berkeley, CA 94720, USA
| | - Fang Li
- National Supercomputing Center, Wuxi 214072, China
| | - Xin Liu
- National Supercomputing Center, Wuxi 214072, China
| | - Dexun Chen
- National Supercomputing Center, Wuxi 214072, China
| | - Fangfang Liu
- Institute of Software Chinese Academy of Sciences, Beijing 100190, China
| | - Yuwen Zhao
- Institute of Software Chinese Academy of Sciences, Beijing 100190, China
| | - Jinlong Yang
- Hefei National Laboratory for Physical Sciences at the Microscale, Department of Chemical Physics, and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China.
| |
Collapse
|
16
|
Wang X, Lewis CA, Valeev EF. Efficient evaluation of exact exchange for periodic systems via concentric atomic density fitting. J Chem Phys 2020; 153:124116. [DOI: 10.1063/5.0016856] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Xiao Wang
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
- Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, USA
| | - Cannada A. Lewis
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Edward F. Valeev
- Department of Chemistry, Virginia Tech, Blacksburg, Virginia 24061, USA
| |
Collapse
|
17
|
Mandal S, Nair NN. Efficient computation of free energy surfaces of chemical reactions using ab initio molecular dynamics with hybrid functionals and plane waves. J Comput Chem 2020; 41:1790-1797. [PMID: 32407582 DOI: 10.1002/jcc.26222] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/26/2020] [Revised: 04/06/2020] [Accepted: 04/29/2020] [Indexed: 11/10/2022]
Abstract
Ab initio molecular dynamics (AIMD) simulations employing density functional theory (DFT) and plane waves are routinely carried out using density functionals at the level of generalized gradient approximation (GGA). AIMD simulations employing hybrid density functionals are of great interest as it offers a more accurate description of structural and dynamic properties than the GGA functionals. However, the computational cost for carrying out calculations using hybrid functionals and plane wave basis set is at least two orders of magnitude higher than that using GGA functionals. Recently, we proposed a strategy that combined the adaptively compressed exchange operator formulation and the multiple time step integration scheme to reduce the computational cost by an order of magnitude [J. Chem. Phys. 151, 151102 (2019)]. In this work, we demonstrate the application of this method to study chemical reactions, in particular, formamide hydrolysis in an alkaline aqueous medium. By actuating our implementation with the well-sliced metadynamics scheme, we can compute the two-dimensional free energy surface of this reaction at the level of hybrid-DFT. This work also investigates the accuracy of the PBE0 (hybrid) and the PBE (GGA) functionals in predicting the free energetics of this chemical reaction.
Collapse
Affiliation(s)
- Sagarmoy Mandal
- Department of Chemistry, Indian Institute of Technology Kanpur, Kanpur, India
| | - Nisanth N Nair
- Department of Chemistry, Indian Institute of Technology Kanpur, Kanpur, India
| |
Collapse
|
18
|
Ricard TC, Iyengar SS. Efficient and Accurate Approach To Estimate Hybrid Functional and Large Basis-Set Contributions to Condensed-Phase Systems and Molecule–Surface Interactions. J Chem Theory Comput 2020; 16:4790-4812. [DOI: 10.1021/acs.jctc.9b01089] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
Affiliation(s)
- Timothy C. Ricard
- Department of Chemistry and Department of Physics, Indiana University, 800 E. Kirkwood Avenue, Bloomington, Indiana 47405, United States
| | - Srinivasan S. Iyengar
- Department of Chemistry and Department of Physics, Indiana University, 800 E. Kirkwood Avenue, Bloomington, Indiana 47405, United States
| |
Collapse
|
19
|
Takahashi H, Sakuraba S, Morita A. Large-Scale Parallel Implementation of Hartree-Fock Exchange Energy on Real-Space Grids Using 3D-Parallel Fast Fourier Transform. J Chem Inf Model 2020; 60:1376-1389. [PMID: 32092264 DOI: 10.1021/acs.jcim.9b01063] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Two types of implementation of the Hartree-Fock (HF) exchange energy were developed with the real-space grid approach for the purpose of achieving high efficiency in the parallel execution of the hybrid exchange functional in the density functional theory. First, a parallel implementation of the three-dimensional fast Fourier transform (FFT), referred to as PFFT, was adapted to solve the Poisson equations for the electrostatic potentials of the densities of the orbital pairs. In the other approach, the Poisson equations were solved iteratively through the conjugate gradient (CG) procedures where the operation of Laplacian was parallelized by the domain decomposition scheme. Comparison of the parallel performances for the exchange energy calculation was made between these two approaches, and it was revealed that the calculation with the FFT method is faster than that with CG. The method with FFT is more advantageous than CG because a larger bandwidth can be made available in the collective message passing interface communication associated with the parallel execution of FFT. We also implemented the projection operator to circumvent the laborious calculation of the exchange energy at every self-consistent field step, which made a significant contribution to expedite the convergence. To assess the accuracy of our implementation, the association energies of a hydrated ion were computed, which showed excellent agreement with those given by the Gaussian 09 program employing sophisticated basis sets.
Collapse
Affiliation(s)
- Hideaki Takahashi
- Department of Chemistry, Graduate School of Science, Tohoku University, Sendai, Miyagi 980-8578, Japan
| | - Shun Sakuraba
- National Institutes for Quantum and Radiological Science and Technology, Kidzugawa, Kyoto 619-0215, Japan
| | - Akihiro Morita
- Department of Chemistry, Graduate School of Science, Tohoku University, Sendai, Miyagi 980-8578, Japan.,Element Strategy Initiative for Catalysts and Batteries (ESICB), Kyoto University, Kyoto 615-8520, Japan
| |
Collapse
|
20
|
Wu Y, Huang Y, Huang H, Muhammad Y, Huang Z, Winarta J, Zhang Y, Nie S, Zhao Z, Mu B. Porous Fe@C Composites Derived from Silkworm Excrement for Effective Separation of Anisole Compounds. ACS OMEGA 2019; 4:21204-21213. [PMID: 31867514 PMCID: PMC6921619 DOI: 10.1021/acsomega.9b02681] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/19/2019] [Accepted: 11/18/2019] [Indexed: 05/12/2023]
Abstract
Silkworm excrement is a very useful biomass waste, composed of layer-structured fats and proteins, which are great precursors for carbon composite materials. In this work, new porous composites derived from silkworm excrement were prepared for selective separation of flavor 4-methylanisole from the binary 4-methylanisole/4-anisaldehyde mixture. In particular, the silkworm excrement, possessing a unique nanosheet structure, is converted into a graphite-like carbon by a simple calcination strategy followed by a metal-ion-doping procedure. This Fe@C composite exhibits a special nano-spongy morphology, anchoring Fe3C/Fe5C2 on the carbon nanosheets. Density functional theory simulations showed that 4-methylanisole presents a stronger π-π interaction and attraction forces with sp2 carbon nanosheets in Fe@C composites than 4-anisaldehyde. The selective adsorption experiments further confirmed that the Fe@C composites exhibited a 4-methylanisole capacity of 7.3 mmol/g at 298 K and the highest selectivity of 17 for an equimolar 4-methylanisole/4-anisaldehyde mixture among the examined adsorbents including MOFs and commercial activated carbon materials, which demonstrates the potential of this low-cost and eco-friendly porous carbon material as a promising sustainable adsorbent.
Collapse
Affiliation(s)
- Yuxiang Wu
- School
of Chemistry and Chemical Engineering and Guangxi Key Laboratory for Agro-Environment
and Agro-Product Safety, Guangxi University, Nanning 530004, China
| | - Yan Huang
- Guangzhou
Huafang Tobacco Flavors Co., Ltd., Guangzhou 510530, China
| | - Hong Huang
- School
of Chemistry and Chemical Engineering and Guangxi Key Laboratory for Agro-Environment
and Agro-Product Safety, Guangxi University, Nanning 530004, China
| | - Yaseen Muhammad
- Institute
of Chemical Sciences, University of Peshawar, Peshawar, Khyber Pakhtunkhwa 25120, Pakistan
| | - Zuqiang Huang
- School
of Chemistry and Chemical Engineering and Guangxi Key Laboratory for Agro-Environment
and Agro-Product Safety, Guangxi University, Nanning 530004, China
| | - Joseph Winarta
- School
for Engineering of Matter, Transport, and Energy, Arizona State University, Tempe, Arizona 85287, United States
| | - Yanjuan Zhang
- School
of Chemistry and Chemical Engineering and Guangxi Key Laboratory for Agro-Environment
and Agro-Product Safety, Guangxi University, Nanning 530004, China
| | - Shuangxi Nie
- School
of Chemistry and Chemical Engineering and Guangxi Key Laboratory for Agro-Environment
and Agro-Product Safety, Guangxi University, Nanning 530004, China
| | - Zhongxing Zhao
- School
of Chemistry and Chemical Engineering and Guangxi Key Laboratory for Agro-Environment
and Agro-Product Safety, Guangxi University, Nanning 530004, China
- Guangzhou
Huafang Tobacco Flavors Co., Ltd., Guangzhou 510530, China
- E-mail: (Z.Z.)
| | - Bin Mu
- School
for Engineering of Matter, Transport, and Energy, Arizona State University, Tempe, Arizona 85287, United States
- E-mail: (B.M.)
| |
Collapse
|
21
|
Mandal S, Nair NN. Speeding-up ab initio molecular dynamics with hybrid functionals using adaptively compressed exchange operator based multiple timestepping. J Chem Phys 2019; 151:151102. [DOI: 10.1063/1.5125422] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Sagarmoy Mandal
- Department of Chemistry, Indian Institute of Technology Kanpur, Kanpur 208016, India
| | - Nisanth N. Nair
- Department of Chemistry, Indian Institute of Technology Kanpur, Kanpur 208016, India
| |
Collapse
|
22
|
Kim J, Kang S, Lim J, Kim WY. Study of Li Adsorption on Graphdiyne Using Hybrid DFT Calculations. ACS APPLIED MATERIALS & INTERFACES 2019; 11:2677-2683. [PMID: 29745641 DOI: 10.1021/acsami.8b03482] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
Promising applications of graphdiyne have often been initiated by theoretical predictions especially using DFT known as the most powerful first-principles electronic structure calculation method. However, there is no systematic study on the reliability of DFT for the prediction of the electronic properties of the graphdiyne. Here, we performed a study of Li adsorption on the graphdiyne using hybrid DFT with LC-ωPBE and compared the results with those of PBE, because accurate prediction of the Li adsorption is important for performance as a Li storage that was first theoretically suggested and then experimentally realized. Our results show that PBE overestimates the adsorption energy inside a pore and the barrier height at the transition state of in-plane diffusion compared to the those of LC-ωPBE. In particular, LC-ωPBE predicted almost barrier-less in-plane diffusion of Li on the graphdiyne because of the presence of both in-plane and out-of-plane π orbitals. Also, LC-ωPBE favors a high spin state due to the exact exchange energy when several Li atoms are adsorbed on the graphdiyne, whereas PBE favors a low spin state. Thus, the use of the hybrid DFT is critical for reliable predictions on the electronic properties of the graphdiyne.
Collapse
Affiliation(s)
- Jaewook Kim
- Department of Chemistry , Korea Advanced Institute of Science and Technology (KAIST) , 291 Daehak-ro, Yuseong-gu , Daejeon 34141 , Republic of Korea
| | - Sungwoo Kang
- Department of Chemistry , Korea Advanced Institute of Science and Technology (KAIST) , 291 Daehak-ro, Yuseong-gu , Daejeon 34141 , Republic of Korea
| | - Jaechang Lim
- Department of Chemistry , Korea Advanced Institute of Science and Technology (KAIST) , 291 Daehak-ro, Yuseong-gu , Daejeon 34141 , Republic of Korea
| | - Woo Youn Kim
- Department of Chemistry , Korea Advanced Institute of Science and Technology (KAIST) , 291 Daehak-ro, Yuseong-gu , Daejeon 34141 , Republic of Korea
| |
Collapse
|
23
|
Hu W, Lin L, Yang C. Interpolative Separable Density Fitting Decomposition for Accelerating Hybrid Density Functional Calculations with Applications to Defects in Silicon. J Chem Theory Comput 2017; 13:5420-5431. [PMID: 28960982 DOI: 10.1021/acs.jctc.7b00807] [Citation(s) in RCA: 32] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We present a new efficient way to perform hybrid density functional theory (DFT)-based electronic structure calculations. The new method uses an interpolative separable density fitting (ISDF) procedure to construct a set of numerical auxiliary basis vectors and a compact approximation of the matrix consisting of products of occupied orbitals represented in a large basis set such as the planewave basis. Such an approximation allows us to reduce the number of Poisson solves from [Formula: see text] to [Formula: see text] when we apply the exchange operator to occupied orbitals in an iterative method for solving the Kohn-Sham equations, where Ne is the number of electrons in the system to be studied. We show that the ISDF procedure can be carried out in [Formula: see text] operations, with a much smaller preconstant compared to methods used in existing approaches. When combined with the recently developed adaptively compressed exchange (ACE) operator formalism, which reduces the number of times the exchange operator needs to be updated, the resulting ACE-ISDF method significantly reduces the computational cost associated with the exchange operator by nearly 2 orders of magnitude compared to existing approaches for a large silicon system with 1000 atoms. We demonstrate that the ACE-ISDF method can produce accurate energies and forces for insulating and metallic systems and that it is possible to obtain converged hybrid functional calculation results for a 1000-atom bulk silicon within 10 min on 2000 computational cores. We also show that ACE-ISDF can scale to 8192 computational cores for a 4096-atom bulk silicon system. We use the ACE-ISDF method to geometrically optimize a 1000-atom silicon system with a vacancy defect using the HSE06 functional and computes its electronic structure. We find that that the computed energy gap from the HSE06 functional is much closer to the experimental value compared to that produced by semilocal functionals in the DFT calculations.
Collapse
Affiliation(s)
- Wei Hu
- Computational Research Division, Lawrence Berkeley National Laboratory , Berkeley, California 94720, United States
| | - Lin Lin
- Computational Research Division, Lawrence Berkeley National Laboratory , Berkeley, California 94720, United States.,Department of Mathematics, University of California , Berkeley, California 94720, United States
| | - Chao Yang
- Computational Research Division, Lawrence Berkeley National Laboratory , Berkeley, California 94720, United States
| |
Collapse
|
24
|
Hu W, Lin L, Yang C. Projected Commutator DIIS Method for Accelerating Hybrid Functional Electronic Structure Calculations. J Chem Theory Comput 2017; 13:5458-5467. [PMID: 28937762 DOI: 10.1021/acs.jctc.7b00892] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The commutator direct inversion of the iterative subspace (commutator DIIS or C-DIIS) method developed by Pulay is an efficient and the most widely used scheme in quantum chemistry to accelerate the convergence of self-consistent field (SCF) iterations in Hartree-Fock theory and Kohn-Sham density functional theory. The C-DIIS method requires the explicit storage of the density matrix, the Fock matrix, and the commutator matrix. Hence, the method can only be used for systems with a relatively small basis set, such as the Gaussian basis set. We develop a new method that enables the C-DIIS method to be efficiently employed in electronic structure calculations with a large basis set such as planewaves for the first time. The key ingredient is the projection of both the density matrix and the commutator matrix to an auxiliary matrix called the gauge-fixing matrix. The resulting projected commutator-DIIS method (PC-DIIS) only operates on matrices of the same dimension as that consists of Kohn-Sham orbitals. The cost of the method is comparable to that of standard charge mixing schemes used in large basis set calculations. The PC-DIIS method is gauge-invariant, which guarantees that its performance is invariant with respect to any unitary transformation of the Kohn-Sham orbitals. We demonstrate that the PC-DIIS method can be viewed as an extension of an iterative eigensolver for nonlinear problems. We use the PC-DIIS method for accelerating Kohn-Sham density functional theory calculations with hybrid exchange-correlation functionals, and demonstrate its superior performance compared to the commonly used nested two-level SCF iteration procedure. Furthermore, we demonstrate that in the context of ab initio molecular dynamics (MD) simulation with hybrid functionals one can extrapolate the gauge-fixing matrix to achieve the goal of extrapolating the entire density matrix implicitly along the MD trajectory. Numerical results indicate that the new method significantly reduces the number of SCF iterations per MD step, compared to the commonly used strategy of extrapolating the electron density.
Collapse
Affiliation(s)
- Wei Hu
- Computational Research Division, Lawrence Berkeley National Laboratory , Berkeley, California 94720, United States
| | - Lin Lin
- Computational Research Division, Lawrence Berkeley National Laboratory , Berkeley, California 94720, United States.,Department of Mathematics, University of California , Berkeley, California 94720, United States
| | - Chao Yang
- Computational Research Division, Lawrence Berkeley National Laboratory , Berkeley, California 94720, United States
| |
Collapse
|