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Šulka M, Šulková K, Jurečka P, Dubecký M. Dynamic and Nondynamic Electron Correlation Energy Decomposition Based on the Node of the Hartree-Fock Slater Determinant. J Chem Theory Comput 2023; 19:8147-8155. [PMID: 37942987 DOI: 10.1021/acs.jctc.3c00828] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2023]
Abstract
Distinguishing between dynamic and nondynamic electron correlation energy is a fundamental concept in quantum chemistry. It can be challenging to make a clear distinction between the two types of correlation energy or to determine their actual contributions in specific cases using wave function theory. This is because both single-reference and multireference methods cover both types of correlation energy to some extent. Fixed-node diffusion quantum Monte Carlo (FNDMC) accurately covers dynamic correlations, but it is limited in overall accuracy by the node of the trial wave function. We introduce a methodology for partitioning an exact electron correlation energy into its dynamic and nondynamic components. This is accomplished by restricting a ground-state solution from sharing its node with a spin-restricted Hartree-Fock Slater determinant. The FNDMC method is used as a tool to conveniently project out a lowest-energy state obeying such a boundary condition. The proposed approach provides an unambiguous and useful procedure for separating electron correlation energy, as demonstrated on multiple systems, including the He atom, bond breaking of H2, the parametric H2-H2 system, the Be-Ne atomic series with low- and high-spin states for C, N, and O atoms, and small molecules such as BH, HF, and CO at both equilibrium and elongated configurations, respectively.
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Affiliation(s)
- Martin Šulka
- Advanced Technologies Research Institute, Faculty of Materials Science and Technology in Trnava, Slovak University of Technology in Bratislava, Bottova 25, Trnava 917 24, Slovakia
| | - Katarína Šulková
- Advanced Technologies Research Institute, Faculty of Materials Science and Technology in Trnava, Slovak University of Technology in Bratislava, Bottova 25, Trnava 917 24, Slovakia
| | - Petr Jurečka
- Department of Physical Chemistry, Faculty of Science, Palacky University Olomouc, 17. listopadu 12, Olomouc 779 00, Czech Republic
| | - Matúš Dubecký
- Advanced Technologies Research Institute, Faculty of Materials Science and Technology in Trnava, Slovak University of Technology in Bratislava, Bottova 25, Trnava 917 24, Slovakia
- Department of Physics, Faculty of Science, University of Ostrava, 30. dubna 22, Ostrava 701 03, Czech Republic
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2
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Dubecký M, Minárik S, Karlický F. Benchmarking fundamental gap of Sc 2C(OH) 2 MXene by many-body methods. J Chem Phys 2023; 158:054703. [PMID: 36754808 DOI: 10.1063/5.0140315] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023] Open
Abstract
Sc2C(OH)2 is a prototypical non-magnetic member of MXenes, a promising transition-metal-based 2D material family, with a direct bandgap. We provide here a benchmark of its fundamental gap Δ obtained from many-body GW and fixed-node diffusion Monte Carlo methods. Both approaches independently arrive at a similar value of Δ ∼ 1.3 eV, suggesting the validity of both methods. Such a bandgap makes Sc2C(OH)2 a 2D semiconductor suitable for optoelectronic applications. The absorbance spectra and the first exciton binding energy (0.63 eV), based on the Bethe-Salpeter equation, are presented as well. The reported results may serve to delineate experimental uncertainties and enable selection of reasonable approximations such as density functional theory functionals, for use in modeling of related MXenes.
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Affiliation(s)
- Matúš Dubecký
- Department of Physics, University of Ostrava, 30. dubna 22, 701 03 Ostrava, Czech Republic
| | - Stanislav Minárik
- ATRI, Slovak University of Technology in Bratislava, J. Bottu 25, 917 24 Trnava, Slovakia
| | - František Karlický
- Department of Physics, University of Ostrava, 30. dubna 22, 701 03 Ostrava, Czech Republic
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3
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Dubecký M, Karlický F, Minárik S, Mitas L. Fundamental gap of fluorographene by many-body GW and fixed-node diffusion Monte Carlo methods. J Chem Phys 2020; 153:184706. [DOI: 10.1063/5.0030952] [Citation(s) in RCA: 13] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Matúš Dubecký
- Department of Physics, Faculty of Science, University of Ostrava, 30. dubna 22, 701 03 Ostrava, Czech Republic
- ATRI, Faculty of Materials Science and Technology in Trnava, Slovak University of Technology in Bratislava, J. Bottu 25, 917 24 Trnava, Slovakia
| | - František Karlický
- Department of Physics, Faculty of Science, University of Ostrava, 30. dubna 22, 701 03 Ostrava, Czech Republic
| | - Stanislav Minárik
- ATRI, Faculty of Materials Science and Technology in Trnava, Slovak University of Technology in Bratislava, J. Bottu 25, 917 24 Trnava, Slovakia
| | - Lubos Mitas
- Department of Physics and CHiPS, North Carolina State University, Raleigh, North Carolina 27695, USA
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4
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Kiessling AJ, Cina JA. Exploring a spectral filtering approach to electronic structure calculations. Mol Phys 2020. [DOI: 10.1080/00268976.2020.1827178] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Alexis J. Kiessling
- Department of Chemistry and Biochemistry, University of Oregon, Eugene, Oregon, USA
- Oregon Center for Optical, Molecular, and Quantum Science, University of Oregon, Eugene, Oregon, USA
| | - Jeffrey A. Cina
- Department of Chemistry and Biochemistry, University of Oregon, Eugene, Oregon, USA
- Oregon Center for Optical, Molecular, and Quantum Science, University of Oregon, Eugene, Oregon, USA
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Gorelov V, Holzmann M, Ceperley DM, Pierleoni C. Energy Gap Closure of Crystalline Molecular Hydrogen with Pressure. PHYSICAL REVIEW LETTERS 2020; 124:116401. [PMID: 32242714 DOI: 10.1103/physrevlett.124.116401] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/15/2019] [Accepted: 02/13/2020] [Indexed: 06/11/2023]
Abstract
We study the gap closure with pressure of crystalline molecular hydrogen. The gaps are obtained from grand-canonical quantum Monte Carlo methods properly extended to quantum and thermal crystals, simulated by coupled electron ion Monte Carlo methods. Nuclear zero point effects cause a large reduction in the gap (∼2 eV). Depending on the structure, the fundamental indirect gap closes between 380 and 530 GPa for ideal crystals and 330-380 GPa for quantum crystals. Beyond this pressure the system enters into a bad metal phase where the density of states at the Fermi level increases with pressure up to ∼450-500 GPa when the direct gap closes. Our work partially supports the interpretation of recent experiments in high pressure hydrogen.
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Affiliation(s)
- Vitaly Gorelov
- Université Paris-Saclay, UVSQ, CNRS, CEA, Maison de la Simulation, 91191, Gif-sur-Yvette, France
| | - Markus Holzmann
- Univ. Grenoble Alpes, CNRS, LPMMC, 38000 Grenoble, France
- Institut Laue-Langevin, BP 156, F-38042 Grenoble Cedex 9, France
| | - David M Ceperley
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
| | - Carlo Pierleoni
- Université Paris-Saclay, UVSQ, CNRS, CEA, Maison de la Simulation, 91191, Gif-sur-Yvette, France
- Department of Physical and Chemical Sciences, University of L'Aquila, Via Vetoio 10, I-67010 L'Aquila, Italy
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6
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Ditte M, Dubecký M. Fractional Charge by Fixed-Node Diffusion Monte Carlo Method. PHYSICAL REVIEW LETTERS 2019; 123:156402. [PMID: 31702309 DOI: 10.1103/physrevlett.123.156402] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/29/2019] [Indexed: 06/10/2023]
Abstract
Fixed-node diffusion Monte Carlo (FNDMC) method is a stochastic quantum many-body approach that has a great potential in electronic structure theory. We examine how FNDMC total energy E(N) satisfies exact constraints, linearity and derivative discontinuity, versus fractional electron number N, if combined with mean-field trial wave functions that miss such features. H and Cl atoms with fractional charge reveal that FNDMC method is well able to restore the piecewise linearity of E(N). The method uses ensemble and projector ingredients to achieve the correct charge localization. A water-solvated Cl^{-} complex illustrates superior performance of FNDMC method for charged noncovalent systems.
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Affiliation(s)
- Matej Ditte
- Department of Physics, University of Ostrava, 30. dubna 22, 701 03 Ostrava, Czech Republic
| | - Matúš Dubecký
- Department of Physics, University of Ostrava, 30. dubna 22, 701 03 Ostrava, Czech Republic
- ATRI, Slovak University of Technology, J. Bottu 25, 917 24 Trnava, Slovakia
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7
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Delle Site L. Simulation of Many-Electron Systems That Exchange Matter with the Environment. ADVANCED THEORY AND SIMULATIONS 2018. [DOI: 10.1002/adts.201800056] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Affiliation(s)
- Luigi Delle Site
- Institute for Mathematics; Freie Universität Berlin; D-14195 Berlin Germany
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8
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Rillo G, Morales MA, Ceperley DM, Pierleoni C. Coupled electron-ion Monte Carlo simulation of hydrogen molecular crystals. J Chem Phys 2018; 148:102314. [DOI: 10.1063/1.5001387] [Citation(s) in RCA: 32] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Giovanni Rillo
- Department of Physics, Sapienza University of Rome, Rome, Italy
| | - Miguel A. Morales
- Physics Division, Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - David M. Ceperley
- Department of Physics, University of Illinois Urbana-Champaign, Champaign, llinois 61801, USA
| | - Carlo Pierleoni
- Department of Physical and Chemical Sciences, University of L’Aquila, L’Aquila, Italy
- Maison de la Simulation, CEA, CNRS, Univ. Paris-Sud, UVSQ, Université Paris-Saclay, 91191 Gif-sur-Yvette, France
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9
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Al-Hamdani YS, Rossi M, Alfè D, Tsatsoulis T, Ramberger B, Brandenburg JG, Zen A, Kresse G, Grüneis A, Tkatchenko A, Michaelides A. Properties of the water to boron nitride interaction: From zero to two dimensions with benchmark accuracy. J Chem Phys 2017; 147:044710. [DOI: 10.1063/1.4985878] [Citation(s) in RCA: 35] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Yasmine S. Al-Hamdani
- Thomas Young Centre and London Centre for Nanotechnology, 17–19 Gordon Street, London WC1H 0AH, United Kingdom
- Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg, Luxembourg
| | - Mariana Rossi
- Fritz Haber Institute of the Max Planck Society, Faradayweg 4-6, 14195 Berlin, Germany
| | - Dario Alfè
- Thomas Young Centre and London Centre for Nanotechnology, 17–19 Gordon Street, London WC1H 0AH, United Kingdom
- Department of Earth Sciences, University College London, Gower Street, London WC1E 6BT, United Kingdom
| | - Theodoros Tsatsoulis
- Max Planck Institute for Solid State Research, Heisenbergstraße 1, D-70569 Stuttgart, Germany
| | - Benjamin Ramberger
- University of Vienna, Faculty of Physics and Center for Computational Materials Sciences, Sensengasse 8/12, 1090 Wien, Austria
| | - Jan Gerit Brandenburg
- Thomas Young Centre and London Centre for Nanotechnology, 17–19 Gordon Street, London WC1H 0AH, United Kingdom
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom
- Department of Chemistry, University College London, 20 Gordon Street, London WC1H 0AH, United Kingdom
| | - Andrea Zen
- Thomas Young Centre and London Centre for Nanotechnology, 17–19 Gordon Street, London WC1H 0AH, United Kingdom
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom
| | - Georg Kresse
- University of Vienna, Faculty of Physics and Center for Computational Materials Sciences, Sensengasse 8/12, 1090 Wien, Austria
| | - Andreas Grüneis
- Max Planck Institute for Solid State Research, Heisenbergstraße 1, D-70569 Stuttgart, Germany
| | - Alexandre Tkatchenko
- Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg, Luxembourg
| | - Angelos Michaelides
- Thomas Young Centre and London Centre for Nanotechnology, 17–19 Gordon Street, London WC1H 0AH, United Kingdom
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom
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10
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Dubecký M. Noncovalent Interactions by Fixed-Node Diffusion Monte Carlo: Convergence of Nodes and Energy Differences vs Gaussian Basis-Set Size. J Chem Theory Comput 2017; 13:3626-3635. [DOI: 10.1021/acs.jctc.7b00537] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Matúš Dubecký
- Department of Physics, Faculty of Science, University of Ostrava, 30. dubna 22, 701
03 Ostrava, Czech Republic
- ATRI, Faculty of Materials
Science and Technology, Slovak University of Technology, Paulínska
16, 917 24 Trnava, Slovakia
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11
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Dubecký M. Bias cancellation in one-determinant fixed-node diffusion Monte Carlo: Insights from fermionic occupation numbers. Phys Rev E 2017; 95:033308. [PMID: 28415179 DOI: 10.1103/physreve.95.033308] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/07/2016] [Indexed: 06/07/2023]
Abstract
The accuracy of the fixed-node diffusion Monte Carlo (FNDMC) depends on the node location of the supplied trial state Ψ_{T}. The practical FNDMC approaches available for large systems rely on compact yet effective Ψ_{T}, most often containing an explicitly correlated single Slater determinant (SD). However, SD nodes may be better suited to one system than to another, which may possibly lead to inaccurate FNDMC energy differences. It remains a challenge how to estimate nonequivalence or appropriateness of SDs. Here we use the differences of a measure based on the Euclidean distance between the natural orbital occupation number (NOON) vector of the SD and the exact solution in the NOON vector space, which can be viewed as a measure of SD nonequivalence and as a qualitative measure of the expected degree of nondynamic-correlation-related bias in FNDMC energy differences. This is explored on a set of small noncovalent complexes and covalent bond breaking of Si_{2} vs N_{2}. It turns out that NOON-based measures well reflect the magnitude and sign of the bias present in the data available, thus providing insights into the nature of bias cancellation in SD FNDMC energy differences.
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Affiliation(s)
- Matúš Dubecký
- Department of Physics, Faculty of Science, University of Ostrava, 30. dubna 22, 701 03 Ostrava, Czech Republic and ATRI, Faculty of Materials Science and Technology, Slovak University of Technology, Paulínska 16, 917 24 Trnava, Slovakia
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12
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Zen A, Roch LM, Cox SJ, Hu XL, Sorella S, Alfè D, Michaelides A. Toward Accurate Adsorption Energetics on Clay Surfaces. THE JOURNAL OF PHYSICAL CHEMISTRY. C, NANOMATERIALS AND INTERFACES 2016; 120:26402-26413. [PMID: 27917256 PMCID: PMC5126707 DOI: 10.1021/acs.jpcc.6b09559] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/21/2016] [Revised: 10/31/2016] [Indexed: 05/31/2023]
Abstract
Clay minerals are ubiquitous in nature, and the manner in which they interact with their surroundings has important industrial and environmental implications. Consequently, a molecular-level understanding of the adsorption of molecules on clay surfaces is crucial. In this regard computer simulations play an important role, yet the accuracy of widely used empirical force fields (FF) and density functional theory (DFT) exchange-correlation functionals is often unclear in adsorption systems dominated by weak interactions. Herein we present results from quantum Monte Carlo (QMC) for water and methanol adsorption on the prototypical clay kaolinite. To the best of our knowledge, this is the first time QMC has been used to investigate adsorption at a complex, natural surface such as a clay. As well as being valuable in their own right, the QMC benchmarks obtained provide reference data against which the performance of cheaper DFT methods can be tested. Indeed using various DFT exchange-correlation functionals yields a very broad range of adsorption energies, and it is unclear a priori which evaluation is better. QMC reveals that in the systems considered here it is essential to account for van der Waals (vdW) dispersion forces since this alters both the absolute and relative adsorption energies of water and methanol. We show, via FF simulations, that incorrect relative energies can lead to significant changes in the interfacial densities of water and methanol solutions at the kaolinite interface. Despite the clear improvements offered by the vdW-corrected and the vdW-inclusive functionals, absolute adsorption energies are often overestimated, suggesting that the treatment of vdW forces in DFT is not yet a solved problem.
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Affiliation(s)
- Andrea Zen
- Thomas
Young Centre and London Centre for Nanotechnology, 17−19 Gordon Street, London WC1H 0AH, United
Kingdom
- Department
of Physics and Astronomy, University College
London, Gower Street, London WC1E 6BT, United Kingdom
| | - Loïc M. Roch
- Thomas
Young Centre and London Centre for Nanotechnology, 17−19 Gordon Street, London WC1H 0AH, United
Kingdom
- Department
of Physics and Astronomy, University College
London, Gower Street, London WC1E 6BT, United Kingdom
| | - Stephen J. Cox
- Thomas
Young Centre and London Centre for Nanotechnology, 17−19 Gordon Street, London WC1H 0AH, United
Kingdom
- Department
of Chemistry, University College London, 20 Gordon Street, London WC1H 0AJ, United Kingdom
| | - Xiao Liang Hu
- Thomas
Young Centre and London Centre for Nanotechnology, 17−19 Gordon Street, London WC1H 0AH, United
Kingdom
- Department
of Physics and Astronomy, University College
London, Gower Street, London WC1E 6BT, United Kingdom
| | - Sandro Sorella
- SISSA−International
School for Advanced Studies, Via Bonomea 26, 34136 Trieste, Italy
- INFM
Democritos National Simulation Center, 34151 Trieste, Italy
| | - Dario Alfè
- Thomas
Young Centre and London Centre for Nanotechnology, 17−19 Gordon Street, London WC1H 0AH, United
Kingdom
- Department
of Earth Sciences, University College London, Gower Street, London WC1E 6BT, United
Kingdom
| | - Angelos Michaelides
- Thomas
Young Centre and London Centre for Nanotechnology, 17−19 Gordon Street, London WC1H 0AH, United
Kingdom
- Department
of Physics and Astronomy, University College
London, Gower Street, London WC1E 6BT, United Kingdom
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13
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Liquid-liquid phase transition in hydrogen by coupled electron-ion Monte Carlo simulations. Proc Natl Acad Sci U S A 2016; 113:4953-7. [PMID: 27099295 DOI: 10.1073/pnas.1603853113] [Citation(s) in RCA: 42] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
The phase diagram of high-pressure hydrogen is of great interest for fundamental research, planetary physics, and energy applications. A first-order phase transition in the fluid phase between a molecular insulating fluid and a monoatomic metallic fluid has been predicted. The existence and precise location of the transition line is relevant for planetary models. Recent experiments reported contrasting results about the location of the transition. Theoretical results based on density functional theory are also very scattered. We report highly accurate coupled electron-ion Monte Carlo calculations of this transition, finding results that lie between the two experimental predictions, close to that measured in diamond anvil cell experiments but at 25-30 GPa higher pressure. The transition along an isotherm is signaled by a discontinuity in the specific volume, a sudden dissociation of the molecules, a jump in electrical conductivity, and loss of electron localization.
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Affiliation(s)
- Matúš Dubecký
- Regional
Centre of Advanced Technologies and Materials, Department of Physical
Chemistry, Faculty of Science, Palacký University Olomouc, tř.
17 listopadu 12, 771 46 Olomouc, Czech Republic
| | - Lubos Mitas
- Department
of Physics and CHiPS, North Carolina State University, Raleigh, North Carolina 27695, United States
| | - Petr Jurečka
- Regional
Centre of Advanced Technologies and Materials, Department of Physical
Chemistry, Faculty of Science, Palacký University Olomouc, tř.
17 listopadu 12, 771 46 Olomouc, Czech Republic
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15
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Calcavecchia F, Holzmann M. Fermion sign problem in imaginary-time projection continuum quantum Monte Carlo with local interaction. Phys Rev E 2016; 93:043321. [PMID: 27176442 DOI: 10.1103/physreve.93.043321] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/13/2016] [Indexed: 06/05/2023]
Abstract
We use the shadow wave function formalism as a convenient model to study the fermion sign problem affecting all projector quantum Monte Carlo methods in continuum space. We demonstrate that the efficiency of imaginary-time projection algorithms decays exponentially with increasing number of particles and/or imaginary-time propagation. Moreover, we derive an analytical expression that connects the localization of the system with the magnitude of the sign problem, illustrating this behavior through numerical results. Finally, we discuss the computational complexity of the fermion sign problem and methods for alleviating its severity.
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Affiliation(s)
- Francesco Calcavecchia
- LPMMC, UMR 5493 of CNRS, Université Grenoble Alpes, 38042 Grenoble, France; Institute of Physics, Johannes Gutenberg University, Staudingerweg 7, D-55128 Mainz, Germany; and Graduate School of Excellence Materials Science in Mainz, Staudingerweg 9, D-55128 Mainz, Germany
| | - Markus Holzmann
- LPMMC, UMR 5493 of CNRS, Université Grenoble Alpes, 38042 Grenoble, France and Institut Laue Langevin, BP 156, F-38042 Grenoble Cedex 9, France
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16
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Grüneis A. A coupled cluster and Møller-Plesset perturbation theory study of the pressure induced phase transition in the LiH crystal. J Chem Phys 2015; 143:102817. [DOI: 10.1063/1.4928645] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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17
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Clay RC, Morales MA. Influence of single particle orbital sets and configuration selection on multideterminant wavefunctions in quantum Monte Carlo. J Chem Phys 2015; 142:234103. [DOI: 10.1063/1.4921984] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Raymond C. Clay
- University of Illinois, Urbana, Illinois 61821, USA
- Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94550, USA
| | - Miguel A. Morales
- Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94550, USA
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18
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Calcavecchia F, Pederiva F, Kalos MH, Kühne TD. Sign problem of the fermionic shadow wave function. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014; 90:053304. [PMID: 25493901 DOI: 10.1103/physreve.90.053304] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/15/2014] [Indexed: 06/04/2023]
Abstract
We present a whole series of methods to alleviate the sign problem of the fermionic shadow wave function in the context of variational Monte Carlo. The effectiveness of our techniques is demonstrated on liquid ^{3}He. We found that although the variance is reduced, the gain in efficiency is restricted by the increased computational cost. Yet, this development not only extends the scope of the fermionic shadow wave function, but also facilitates highly accurate quantum Monte Carlo simulations previously thought not feasible.
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Affiliation(s)
- Francesco Calcavecchia
- Institute of Physics, Johannes Gutenberg-University, Staudingerweg 7, D-55128 Mainz, Germany and Graduate School Materials Science in Mainz, Staudingerweg 9, D-55128 Mainz, Germany
| | - Francesco Pederiva
- Dipartimento di Fisica, University of Trento, via Sommarive 14, I-38050 Povo, Trento, Italy and INFN-TIFPA, Trento Institute for Fundamental Physics and Applications, Trento, Italy
| | - Malvin H Kalos
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - Thomas D Kühne
- Institute of Physical Chemistry and Center for Computational Sciences, Johannes Gutenberg University Mainz, Staudinger Weg 7, D-55128 Mainz, Germany and Department of Chemistry, University of Paderborn, Warburger Strasse 100, D-33098 Paderborn, Germany
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Modeling Potential Energy Surfaces: From First-Principle Approaches to Empirical Force Fields. ENTROPY 2013. [DOI: 10.3390/e16010322] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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