中国物理B ›› 2018, Vol. 27 ›› Issue (7): 73102-073102.doi: 10.1088/1674-1056/27/7/073102

• ATOMIC AND MOLECULAR PHYSICS • 上一篇    下一篇

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

Jun-Hang Ren(任军航), Ming-Yong Ye(叶明勇), Xiu-Min Lin(林秀敏)   

  1. 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
  • 收稿日期:2018-03-19 修回日期:2018-04-18 出版日期:2018-07-05 发布日期:2018-07-05
  • 通讯作者: Ming-Yong Ye E-mail:myye@fjnu.edu.cn
  • 基金资助:
    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).

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. 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
  • Received:2018-03-19 Revised:2018-04-18 Online:2018-07-05 Published:2018-07-05
  • Contact: Ming-Yong Ye E-mail:myye@fjnu.edu.cn
  • Supported by:
    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).

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摘要： 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.

关键词: Hubbard model, exact eigenstate, Slater determinant

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.

Key words: Hubbard model, exact eigenstate, Slater determinant

中图分类号:  (Strongly correlated electron systems: generalized tight-binding method)

  • 31.15.aq
03.65.Ge (Solutions of wave equations: bound states)