DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A rotationally invariant approach based on Gutzwiller wave function for correlated electron systems

Abstract

Here, we introduce a rotationally invariant approach combined with the Gutzwiller conjugate gradient minimization method to study correlated electron systems. In the approach, the Gutzwiller projector is parametrized based on the number of electrons occupying the onsite orbitals instead of the onsite configurations. The approach efficiently groups the onsite orbitals according to their symmetry and greatly reduces the computational complexity, which yields a speedup of $$20 \sim 50 \times $$ in the minimal basis energy calculation of dimers. The computationally efficient approach promotes more accurate calculations beyond the minimal basis that is inapplicable in the original approach. A large-basis energy calculation of F2 demonstrates favorable agreements with standard quantum-chemical calculations Bytautas et al (2007 J. Chem. Phys. 127 164317).

Authors:
ORCiD logo [1]; ORCiD logo [1];  [2]; ORCiD logo [3]; ORCiD logo [2];  [3];  [1]; ORCiD logo [1];  [1]
  1. Ames Lab., and Iowa State Univ., Ames, IA (United States)
  2. Xiamen Univ. (China)
  3. Qingdao Univ. (China)
Publication Date:
Research Org.:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Natural Science Foundation of China (NSFC); Fundamental Research Funds for the Central Universities of China
OSTI Identifier:
1895107
Report Number(s):
IS-J-10,914
Journal ID: ISSN 0953-8984; TRN: US2310344
Grant/Contract Number:  
AC02-07CH11358; 11874307; 12147138; 21773132; 20720210023
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physics. Condensed Matter
Additional Journal Information:
Journal Volume: 34; Journal Issue: 49; Journal ID: ISSN 0953-8984
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Gutzwiller wave function; potential energy curve; correlated electron systems

Citation Formats

Ye, Zhuo, Zhang, Feng, Fang, Yimei, Zhang, Han, Wu, Shunqing, Lu, Wen-Cai, Yao, Yong-Xin, Wang, Cai-Zhuang, and Ho, Kai-Ming. A rotationally invariant approach based on Gutzwiller wave function for correlated electron systems. United States: N. p., 2022. Web. doi:10.1088/1361-648x/ac9945.
Ye, Zhuo, Zhang, Feng, Fang, Yimei, Zhang, Han, Wu, Shunqing, Lu, Wen-Cai, Yao, Yong-Xin, Wang, Cai-Zhuang, & Ho, Kai-Ming. A rotationally invariant approach based on Gutzwiller wave function for correlated electron systems. United States. https://doi.org/10.1088/1361-648x/ac9945
Ye, Zhuo, Zhang, Feng, Fang, Yimei, Zhang, Han, Wu, Shunqing, Lu, Wen-Cai, Yao, Yong-Xin, Wang, Cai-Zhuang, and Ho, Kai-Ming. Fri . "A rotationally invariant approach based on Gutzwiller wave function for correlated electron systems". United States. https://doi.org/10.1088/1361-648x/ac9945. https://www.osti.gov/servlets/purl/1895107.
@article{osti_1895107,
title = {A rotationally invariant approach based on Gutzwiller wave function for correlated electron systems},
author = {Ye, Zhuo and Zhang, Feng and Fang, Yimei and Zhang, Han and Wu, Shunqing and Lu, Wen-Cai and Yao, Yong-Xin and Wang, Cai-Zhuang and Ho, Kai-Ming},
abstractNote = {Here, we introduce a rotationally invariant approach combined with the Gutzwiller conjugate gradient minimization method to study correlated electron systems. In the approach, the Gutzwiller projector is parametrized based on the number of electrons occupying the onsite orbitals instead of the onsite configurations. The approach efficiently groups the onsite orbitals according to their symmetry and greatly reduces the computational complexity, which yields a speedup of $20 \sim 50 \times $ in the minimal basis energy calculation of dimers. The computationally efficient approach promotes more accurate calculations beyond the minimal basis that is inapplicable in the original approach. A large-basis energy calculation of F2 demonstrates favorable agreements with standard quantum-chemical calculations Bytautas et al (2007 J. Chem. Phys. 127 164317).},
doi = {10.1088/1361-648x/ac9945},
journal = {Journal of Physics. Condensed Matter},
number = 49,
volume = 34,
place = {United States},
year = {Fri Oct 21 00:00:00 EDT 2022},
month = {Fri Oct 21 00:00:00 EDT 2022}
}

Works referenced in this record:

Accurate ab initio potential energy curve of F2. I. Nonrelativistic full valence configuration interaction energies using the correlation energy extrapolation by intrinsic scaling method
journal, October 2007

  • Bytautas, Laimutis; Nagata, Takeshi; Gordon, Mark S.
  • The Journal of Chemical Physics, Vol. 127, Issue 16
  • DOI: 10.1063/1.2800017

The Evaluation of the Collision Matrix
journal, October 1950


First-principles calculations of the electronic structure and spectra of strongly correlated systems: the LDA + U method
journal, January 1997

  • Anisimov, Vladimir I.; Aryasetiawan, F.; Lichtenstein, A. I.
  • Journal of Physics: Condensed Matter, Vol. 9, Issue 4, p. 767-808
  • DOI: 10.1088/0953-8984/9/4/002

Correlation Matrix Renormalization Theory: Improving Accuracy with Two-Electron Density-Matrix Sum Rules
journal, September 2016

  • Liu, C.; Liu, J.; Yao, Y. X.
  • Journal of Chemical Theory and Computation, Vol. 12, Issue 10
  • DOI: 10.1021/acs.jctc.6b00570

Effect of Correlation on the Ferromagnetism of Transition Metals
journal, March 1963


Ground state wave functions for single-band Hubbard models from the Gutzwiller conjugate gradient minimisation theory
journal, July 2020


Correlation matrix renormalization approximation for total-energy calculations of correlated electron systems
journal, January 2014


Local density approximation combined with Gutzwiller method for correlated electron systems: Formalism and applications
journal, February 2009


Gutzwiller density functional theory for correlated electron systems
journal, February 2008


Efficient and accurate treatment of electron correlations with Correlation Matrix Renormalization theory
journal, August 2015

  • Yao, Y. X.; Liu, J.; Liu, C.
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep13478

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
  • DOI: 10.1088/1361-648X/ab2032

Effect of Correlation on the Ferromagnetism of Transition Metals
journal, May 1964


A benchmark of Gutzwiller conjugate gradient minimization method in ground state energy calculations of dimers
journal, September 2020


Correlation of Electrons in a Narrow s Band
journal, March 1965


Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen
journal, January 1989

  • Dunning, Thom H.
  • The Journal of Chemical Physics, Vol. 90, Issue 2
  • DOI: 10.1063/1.456153

Role of Coulomb interaction in the phase formation of fcc Ce: Correlation matrix renormalization theory
journal, August 2021


Molecule intrinsic minimal basis sets. I. Exact resolution of ab initio optimized molecular orbitals in terms of deformed atomic minimal-basis orbitals
journal, February 2004

  • Lu, W. C.; Wang, C. Z.; Schmidt, M. W.
  • The Journal of Chemical Physics, Vol. 120, Issue 6
  • DOI: 10.1063/1.1638731

Self-Consistent Equations Including Exchange and Correlation Effects
journal, November 1965


The Gutzwiller conjugate gradient minimization method for correlated electron systems
journal, April 2022

  • Ye, Zhuo; Fang, Yimei; Zhang, Han
  • Journal of Physics: Condensed Matter, Vol. 34, Issue 24
  • DOI: 10.1088/1361-648X/ac5e03

Band theory and Mott insulators: Hubbard U instead of Stoner I
journal, July 1991

  • Anisimov, Vladimir I.; Zaanen, Jan; Andersen, Ole K.
  • Physical Review B, Vol. 44, Issue 3, p. 943-954
  • DOI: 10.1103/PhysRevB.44.943