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Slater determinant and exact eigenstates of the two-dimensional Fermi-Hubbard model |
| Jun-Hang Ren(任军航)1,2, Ming-Yong Ye(叶明勇)1,2, Xiu-Min Lin(林秀敏)1,2 |
1 Fujian Provincial Key Laboratory of Quantum Manipulation and New Energy Materials, College of Physics and Energy, Fujian Normal University, Fuzhou 350117, China;
2 Fujian Provincial Collaborative Innovation Center for Optoelectronic Semiconductors and Efficient Devices, Xiamen 361005, China |
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Abstract We consider the construction of exact eigenstates of the two-dimensional Fermi-Hubbard model defined on an L×L lattice with a periodic condition. Based on the characteristics of Slater determinants, several methods are introduced to construct exact eigenstates of the model. The eigenstates constructed are independent of the on-site electron interaction and some of them can also represent exact eigenstates of the two-dimensional Bose-Hubbard model.
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Received: 19 March 2018
Revised: 18 April 2018
Published: 05 July 2018
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PACS:
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31.15.aq
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(Strongly correlated electron systems: generalized tight-binding method)
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03.65.Ge
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(Solutions of wave equations: bound states)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11674059) and Natural Science Foundation of Fujian Province, China (Grant Nos. 2016J01008 and 2016J01009). |
Corresponding Authors:
Ming-Yong Ye
E-mail: myye@fjnu.edu.cn
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Cite this article:
Jun-Hang Ren(任军航), Ming-Yong Ye(叶明勇), Xiu-Min Lin(林秀敏) Slater determinant and exact eigenstates of the two-dimensional Fermi-Hubbard model 2018 Chin. Phys. B 27 073102
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| [1] |
Hubbard J 1963 Proc. R. Soc. A 276 238
|
| [2] |
Hayes B 2009 Am. Sci. 97 438
|
| [3] |
Yun S J, Dong T K and Zhu S N 2017 Chin. Phys. Lett. 34 080201
|
| [4] |
Cheuk L W, Nichols M A, Lawrence K R, Okan M, Zhang H, Khatami E, Trivedi N, Paiva T, Rigol M and Zwierlein M W 2016 Science 353 1260
|
| [5] |
Wang Y L, Huang L, Du L and Dai X 2016 Chin. Phys. B 25 037103
|
| [6] |
Lieb E H and Wu F Y 2003 Physica A 321 1
|
| [7] |
Essler F H L, Frahm H, Göhmann F, Klümper A and Korepin V E 2005 The One-dimensional Hubbard Model (Cambridge:Cambridge University Press) p. 5
|
| [8] |
Li Y Y, Cao J P, Yang W L, Shi K J and Wang Y P 2014 Nucl. Phys. B 879 98
|
| [9] |
Yang C N and Zhang S C 1990 Mod. Phys. Lett. B 4 759
|
| [10] |
Ye M Y and Lin X M 2018 Phys. Status Solidi B 255 1700321
|
| [11] |
Su G and Ge M L 1992 Commun. Theor. Phys. 17 1
|
| [12] |
Shen S Q, Qiu Z M and Tian G S 1994 Phys. Rev. Lett. 72 1280
|
| [13] |
Chen Y H, Tao H S, Yao D X and Liu W M 2012 Phys. Rev. Lett. 108 246402
|
| [14] |
Yang C N 1989 Phys. Rev. Lett. 63 2144
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