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Ye Z, Fang Y, Zhang H, Zhang F, Wu S, Lu WC, Yao YX, Wang CZ, Ho KM. The Gutzwiller conjugate gradient minimization method for correlated electron systems. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2022; 34:243001. [PMID: 35290968 DOI: 10.1088/1361-648x/ac5e03] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/29/2021] [Accepted: 03/15/2022] [Indexed: 06/14/2023]
Abstract
We review our recent work on the Gutzwiller conjugate gradient minimization method, anab initioapproach developed for correlated electron systems. The complete formalism has been outlined that allows for a systematic understanding of the method, followed by a discussion of benchmark studies of dimers, one- and two-dimensional single-band Hubbard models. In the end, we present some preliminary results of multi-band Hubbard models and large-basis calculations of F2to illustrate our efforts to further reduce the computational complexity.
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Affiliation(s)
- Zhuo Ye
- Ames Laboratory-US DOE and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, United States of America
| | - Yimei Fang
- Department of Physics, OSED, Key Laboratory of Low Dimensional Condensed Matter Physics, (Department of Education of Fujian Province) Jiujiang Research Institute, Xiamen University, Xiamen 361005, People's Republic of China
| | - Han Zhang
- College of Physics, Qingdao University, Qingdao, Shandong 266071, People's Republic of China
| | - Feng Zhang
- Ames Laboratory-US DOE and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, United States of America
| | - Shunqing Wu
- Department of Physics, OSED, Key Laboratory of Low Dimensional Condensed Matter Physics, (Department of Education of Fujian Province) Jiujiang Research Institute, Xiamen University, Xiamen 361005, People's Republic of China
| | - Wen-Cai Lu
- College of Physics, Qingdao University, Qingdao, Shandong 266071, People's Republic of China
| | - Yong-Xin Yao
- Ames Laboratory-US DOE and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, United States of America
| | - Cai-Zhuang Wang
- Ames Laboratory-US DOE and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, United States of America
| | - Kai-Ming Ho
- Ames Laboratory-US DOE and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, United States of America
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Ye Z, Zhang F, Yao YX, Wang CZ, Ho KM. Ground state wave functions for single-band Hubbard models from the Gutzwiller conjugate gradient minimisation theory. Mol Phys 2020. [DOI: 10.1080/00268976.2020.1797917] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Zhuo Ye
- Ames Laboratory – US DOE and Department of Physics and Astronomy, Iowa State University, Ames, IA, USA
| | - Feng Zhang
- Ames Laboratory – US DOE and Department of Physics and Astronomy, Iowa State University, Ames, IA, USA
| | - Yong-Xin Yao
- Ames Laboratory – US DOE and Department of Physics and Astronomy, Iowa State University, Ames, IA, USA
| | - Cai-Zhuang Wang
- Ames Laboratory – US DOE and Department of Physics and Astronomy, Iowa State University, Ames, IA, USA
| | - Kai-Ming Ho
- Ames Laboratory – US DOE and Department of Physics and Astronomy, Iowa State University, Ames, IA, USA
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Kobayashi K, Ohe C, Iguchi K. Variational state based on the Bethe-ansatz solution and a correlated singlet liquid state in the one-dimensional t-J model. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:13129-13137. [PMID: 9985174 DOI: 10.1103/physrevb.54.13129] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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