Slater determinant and exact eigenstates of the two-dimensional Fermi-Hubbard model

doi:10.1088/1674-1056/27/7/073102

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
Accepted manuscript online:

PACS:	31.15.aq	(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: myye@fjnu.edu.cn

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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