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

作　　者：Jun-Hang Ren Ming-Yong Ye Xiu-Min Lin 任军航;叶明勇;林秀敏(Fujian Provincial Key Laboratory of Quantum Manipulation and New Energy Materials, College of Physics and Energy, Fujian Normal University, Fuzhou 350117, China;Fujian Provincial Collaborative Innovation Center for Optoelectronic Semiconductors and Efficient Devices, Xiamen 361005, China)

机构地区：[1]Fujian Provincial Key Laboratory of Quantum Manipulation and New Energy Materials,College of Physics and Energy,Fujian Normal University,Fuzhou 350117,China [2]Fufian Provincial Collaborative Innovation Center for Optoelectronic Semiconductors and Efficient Devices,Xiamen 361005,China

出　　处：《Chinese Physics B》2018年第7期264-267,共4页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.11674059);Natural Science Foundation of Fujian Province,China(Grant Nos.2016J01008 and 2016J01009)

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.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 

分 类 号：O76[理学—晶体学]