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Schreder L, Luber S. Chiral Spectroscopy of Bulk Systems with Propagated Localized Orbitals. J Chem Theory Comput 2024; 20:3894-3910. [PMID: 38661175 DOI: 10.1021/acs.jctc.4c00235] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/26/2024]
Abstract
We present approaches for the simulation of electronic circular dichroism, Raman, and Raman optical activity (ROA) spectra for isolated and periodic systems as well as subsystem analysis thereof. The method is based on the use of time-dependent maximally localized Wannier functions in the CP2K package and accounts for origin dependencies inherent to the Gaussian and plane wave with pseudopotentials approach as well as the origin dependence of the magnetic dipole and electric quadrupole operators. Tests on the H-bonded enantiomers of alanine by harmonic normal-mode analysis and on an aqueous solution of l-alanine by ab initio molecular dynamics obeying periodic boundary conditions (PBCs) are presented as total and subsystem-resolved spectra. To our knowledge, this is the first instance of an ROA spectrum derived from real-time propagation obeying PBCs and the first ROA simulation considering off-, pre-, and on-resonance effects within PBCs.
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Affiliation(s)
- Lukas Schreder
- University of Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland
| | - Sandra Luber
- University of Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland
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Wang SS, Zhang YY, Guan JH, Yu Y, Xia Y, Li SS. Numerical study of disorder on the orbital magnetization in two dimensions. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2020; 32:335302. [PMID: 32294636 DOI: 10.1088/1361-648x/ab8985] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/24/2020] [Accepted: 04/15/2020] [Indexed: 06/11/2023]
Abstract
The modern theory of orbital magnetization (OM) was developed by using Wannier function method, which has a formalism similar with the Berry phase. In this manuscript, we perform a numerical study on the fate of the OM under disorder, by using this method on the Haldane model in two dimensions, which can be tuned between a normal insulator or a Chern insulator at half filling. The effects of increasing disorder on OM for both cases are simulated. Energy renormalization shifts are observed in the weak disorder regime and topologically trivial case, which was predicted by a self-consistentT-matrix approximation. Besides this, two other phenomena can be seen. One is the localization trend of the band orbital magnetization. The other is the remarkable contribution from topological chiral states arising from nonzero Chern number or large value of integrated Berry curvature. If the fermi energy is fixed at the gap center of the clean system, there is an enhancement of |M| at the intermediate disorder, for both cases of normal and Chern insulators, which can be attributed to the disorder induced topological metal state before localization.
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Affiliation(s)
- Si-Si Wang
- SKLSM, Institute of Semiconductors, Chinese Academy of Sciences, P.O. Box 912, Beijing 100083, People's Republic of China
- College of Materials Science and Opto-Electronic Technology, University of Chinese Academy of Sciences, Beijing 100049, People's Republic of China
| | - Yan-Yang Zhang
- School of Physics and Electronic Engineering, Guangzhou University, 510006 Guangzhou, People's Republic of China
| | - Ji-Huan Guan
- SKLSM, Institute of Semiconductors, Chinese Academy of Sciences, P.O. Box 912, Beijing 100083, People's Republic of China
- School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, People's Republic of China
| | - Yan Yu
- SKLSM, Institute of Semiconductors, Chinese Academy of Sciences, P.O. Box 912, Beijing 100083, People's Republic of China
- School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, People's Republic of China
| | - Yang Xia
- Microelectronic Instrument and Equipment Research Center, Institute of Microelectronics of Chinese Academy of Sciences, Beijing 100029, People's Republic of China
- School of Microelectronics, University of Chinese Academy of Sciences, Beijing 100049, People's Republic of China
| | - Shu-Shen Li
- SKLSM, Institute of Semiconductors, Chinese Academy of Sciences, P.O. Box 912, Beijing 100083, People's Republic of China
- College of Materials Science and Opto-Electronic Technology, University of Chinese Academy of Sciences, Beijing 100049, People's Republic of China
- Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China
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Springborg M, Molayem M, Kirtman B. Electronic orbital response of regular extended and infinite periodic systems to magnetic fields. I. Theoretical foundations for static case. J Chem Phys 2018; 147:104101. [PMID: 28915743 DOI: 10.1063/1.5001261] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A theoretical treatment for the orbital response of an infinite, periodic system to a static, homogeneous, magnetic field is presented. It is assumed that the system of interest has an energy gap separating occupied and unoccupied orbitals and a zero Chern number. In contrast to earlier studies, we do not utilize a perturbation expansion, although we do assume the field is sufficiently weak that the occurrence of Landau levels can be ignored. The theory is developed by analyzing results for large, finite systems and also by comparing with the analogous treatment of an electrostatic field. The resulting many-electron Hamilton operator is forced to be hermitian, but hermiticity is not preserved, in general, for the subsequently derived single-particle operators that determine the electronic orbitals. However, we demonstrate that when focusing on the canonical solutions to the single-particle equations, hermiticity is preserved. The issue of gauge-origin dependence of approximate solutions is addressed. Our approach is compared with several previously proposed treatments, whereby limitations in some of the latter are identified.
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Affiliation(s)
- Michael Springborg
- Physical and Theoretical Chemistry, University of Saarland, 66123 Saarbrücken, Germany
| | - Mohammad Molayem
- Physical and Theoretical Chemistry, University of Saarland, 66123 Saarbrücken, Germany
| | - Bernard Kirtman
- Department of Chemistry and Biochemistry, University of California, Santa Barbara, California 93106, USA
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Nagy PR, Koltai J, Surján PR, Kürti J, Szabados Á. Resonance Raman Optical Activity of Single Walled Chiral Carbon Nanotubes. J Phys Chem A 2016; 120:5527-38. [DOI: 10.1021/acs.jpca.6b04594] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Péter R. Nagy
- MTA-BME
Lendület Quantum Chemistry Research Group, Department of Physical
Chemistry and Materials Science, Budapest University of Technology and Economics, P.O. Box 91, H-1521 Budapest, Hungary
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Skachkov D, Krykunov M, Kadantsev E, Ziegler T. The Calculation of NMR Chemical Shifts in Periodic Systems Based on Gauge Including Atomic Orbitals and Density Functional Theory. J Chem Theory Comput 2015; 6:1650-9. [PMID: 26615697 DOI: 10.1021/ct100046a] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
We present here a method that can calculate NMR shielding tensors from first principles for systems with translational invariance. Our approach is based on Kohn-Sham density functional theory and gauge-including atomic orbitals. Our scheme determines the shielding tensor as the second derivative of the total electronic energy with respect to an external magnetic field and a nuclear magnetic moment. The induced current density due to a periodic perturbation from nuclear magnetic moments is obtained through numerical differentiation, whereas the influence of the responding perturbation in terms of the external magnetic field is evaluated analytically. The method is implemented into the periodic program BAND. It employs a Bloch basis set made up of Slater-type or numeric atomic orbitals and represents the Kohn-Sham potential fully without the use of effective core potentials. Results from calculations of NMR shielding constants based on the present approach are presented for isolated molecules as well as systems with one-, two- and three-dimensional periodicity. The reported values are compared to experiment and results from calculations on cluster models.
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Affiliation(s)
- Dmitry Skachkov
- Department of Chemistry, University of Calgary, Calgary, Alberta, Canada T2N 1N4
| | - Mykhaylo Krykunov
- Department of Chemistry, University of Calgary, Calgary, Alberta, Canada T2N 1N4
| | - Eugene Kadantsev
- Department of Chemistry, University of Calgary, Calgary, Alberta, Canada T2N 1N4
| | - Tom Ziegler
- Department of Chemistry, University of Calgary, Calgary, Alberta, Canada T2N 1N4
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Lopez MG, Canepa P, Thonhauser T. NMR study of small molecule adsorption in MOF-74-Mg. J Chem Phys 2013; 138:154704. [DOI: 10.1063/1.4800952] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022] Open
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Bonhomme C, Gervais C, Babonneau F, Coelho C, Pourpoint F, Azaïs T, Ashbrook SE, Griffin JM, Yates JR, Mauri F, Pickard CJ. First-principles calculation of NMR parameters using the gauge including projector augmented wave method: a chemist's point of view. Chem Rev 2012; 112:5733-79. [PMID: 23113537 DOI: 10.1021/cr300108a] [Citation(s) in RCA: 312] [Impact Index Per Article: 26.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023]
Affiliation(s)
- Christian Bonhomme
- Laboratoire de Chimie de la Matière Condensée de Paris, Université Pierre et Marie Curie, CNRS UMR, Collège de France, France.
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Thonhauser T, Ceresoli D, Mostofi AA, Marzari N, Resta R, Vanderbilt D. A converse approach to the calculation of NMR shielding tensors. J Chem Phys 2009. [DOI: 10.1063/1.3216028] [Citation(s) in RCA: 48] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Pomogaeva A, Kirtman B, Gu FL, Aoki Y. Band structure built from oligomer calculations. J Chem Phys 2008; 128:074109. [DOI: 10.1063/1.2840354] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Murakhtina T, Delle Site L, Sebastiani D. Vibrational frequencies of water adsorbed on (111) and (221) nickel surfaces from first principle calculations. Chemphyschem 2007; 7:1215-9. [PMID: 16671150 DOI: 10.1002/cphc.200500642] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
Affiliation(s)
- Tatiana Murakhtina
- Max-Planck-Institut for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany.
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Sebastiani D. Current Densities and Nucleus-Independent Chemical Shift Maps from Reciprocal-Space Density Functional Perturbation Theory Calculations. Chemphyschem 2006; 7:164-75. [PMID: 16331722 DOI: 10.1002/cphc.200500438] [Citation(s) in RCA: 84] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
A method to calculate condensed-matter nucleus independent chemical shift maps (NICS maps) from first principles in the framework of density functional theory is presented. I use a pseudopotential plane-wave approach in which the electronic current density and the NICS map are obtained from an inverse Fourier transformation of the induced magnetic field represented in reciprocal space (G space). Due to its intrinsically periodic description, the method is suitable for isolated molecules (by using a supercell technique) and for condensed-phase systems like solids. The periodic NICS method was applied to hydrogen-bonded calixhydroquinone nanotubes, crystalline graphite, and two carbon nanotube systems.
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Affiliation(s)
- Daniel Sebastiani
- Max-Planck-Institute for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany.
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Xiao D, Shi J, Niu Q. Berry phase correction to electron density of states in solids. PHYSICAL REVIEW LETTERS 2005; 95:137204. [PMID: 16197171 DOI: 10.1103/physrevlett.95.137204] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/14/2005] [Indexed: 05/04/2023]
Abstract
Liouville's theorem on the conservation of phase-space volume is violated by Berry phase in the semiclassical dynamics of Bloch electrons. This leads to a modification of the phase-space density of states, whose significance is discussed in a number of examples: field modification of the Fermi-sea volume, connection to the anomalous Hall effect, and a general formula for orbital magnetization. The effective quantum mechanics of Bloch electrons is also sketched, where the modified density of states plays an essential role.
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Affiliation(s)
- Di Xiao
- Department of Physics, The University of Texas, Austin, Texas 78712-0264, USA
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