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Title: Efficient and accurate treatment of electron correlations with correlation matrix renormalization theory

Abstract

We present an efficient method for calculating the electronic structure and total energy of strongly correlated electron systems. The method extends the traditional Gutzwiller approximation for one-particle operators to the evaluation of the expectation values of two particle operators in the many-electron Hamiltonian. The method is free of adjustable Coulomb parameters, and has no double counting issues in the calculation of total energy, and has the correct atomic limit. We demonstrate that the method describes well the bonding and dissociation behaviors of the hydrogen and nitrogen clusters, as well as the ammonia composed of hydrogen and nitrogen atoms. We also show that the method can satisfactorily tackle great challenging problems faced by the density functional theory recently discussed in the literature. The computational workload of our method is similar to the Hartree-Fock approach while the results are comparable to high-level quantum chemistry calculations.

Authors:
 [1];  [1];  [1];  [2];  [1];  [1]
  1. Iowa State Univ., Ames, IA (United States)
  2. Jilin Univ., Changchun (China); Qingdao Univ., Qingdao, Shadong (China)
Publication Date:
Research Org.:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1213570
Report Number(s):
IS-J-8711
Journal ID: ISSN 2045-2322; srep13478; TRN: US1600367
Grant/Contract Number:  
DE-AC02-07CH11358
Resource Type:
Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 5; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; computational chemistry; computational science; electronic properties and materials

Citation Formats

Yao, Y. X., Liu, J., Liu, C., Lu, W. C., Wang, C. Z., and Ho, K. M. Efficient and accurate treatment of electron correlations with correlation matrix renormalization theory. United States: N. p., 2015. Web. doi:10.1038/srep13478.
Yao, Y. X., Liu, J., Liu, C., Lu, W. C., Wang, C. Z., & Ho, K. M. Efficient and accurate treatment of electron correlations with correlation matrix renormalization theory. United States. https://doi.org/10.1038/srep13478
Yao, Y. X., Liu, J., Liu, C., Lu, W. C., Wang, C. Z., and Ho, K. M. Fri . "Efficient and accurate treatment of electron correlations with correlation matrix renormalization theory". United States. https://doi.org/10.1038/srep13478. https://www.osti.gov/servlets/purl/1213570.
@article{osti_1213570,
title = {Efficient and accurate treatment of electron correlations with correlation matrix renormalization theory},
author = {Yao, Y. X. and Liu, J. and Liu, C. and Lu, W. C. and Wang, C. Z. and Ho, K. M.},
abstractNote = {We present an efficient method for calculating the electronic structure and total energy of strongly correlated electron systems. The method extends the traditional Gutzwiller approximation for one-particle operators to the evaluation of the expectation values of two particle operators in the many-electron Hamiltonian. The method is free of adjustable Coulomb parameters, and has no double counting issues in the calculation of total energy, and has the correct atomic limit. We demonstrate that the method describes well the bonding and dissociation behaviors of the hydrogen and nitrogen clusters, as well as the ammonia composed of hydrogen and nitrogen atoms. We also show that the method can satisfactorily tackle great challenging problems faced by the density functional theory recently discussed in the literature. The computational workload of our method is similar to the Hartree-Fock approach while the results are comparable to high-level quantum chemistry calculations.},
doi = {10.1038/srep13478},
journal = {Scientific Reports},
number = ,
volume = 5,
place = {United States},
year = {Fri Aug 28 00:00:00 EDT 2015},
month = {Fri Aug 28 00:00:00 EDT 2015}
}

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Cited by: 9 works
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Works referenced in this record:

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Works referencing / citing this record:

Benchmark of correlation matrix renormalization method in molecule calculations
journal, March 2019

  • Zhang, Han; Lu, Wen-Cai; Yao, Yong-Xin
  • Journal of Physics: Condensed Matter, Vol. 31, Issue 19
  • DOI: 10.1088/1361-648x/ab05b3

First-principles calculation of correlated electron materials based on Gutzwiller wave function beyond Gutzwiller approximation
journal, June 2019

  • Ye, Zhuo; Yao, Yong-Xin; Zhao, Xin
  • Journal of Physics: Condensed Matter, Vol. 31, Issue 33
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