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Chin. Phys. B, 2018, Vol. 27(7): 073102    DOI: 10.1088/1674-1056/27/7/073102

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
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.
Keywords:  Hubbard model      exact eigenstate      Slater determinant  
Received:  19 March 2018      Revised:  18 April 2018      Published:  05 July 2018
PACS: (Strongly correlated electron systems: generalized tight-binding method)  
  03.65.Ge (Solutions of wave equations: bound states)  
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:

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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