TIAN, GS , BEIJING UNIV,DEPT PHYS,BEIJING 100871,PEOPLES R CHINA.
部门归属:
ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA
英文摘要:
In this article, based on a recent theorem by Lieb et al, we shall prove two theorems on the momentum distribution functions of the half-filled Hubbard model on a d-dimensional simple cubic lattice in a mathematically rigorous way. More precisely, we shall first show that the half-filled positive-U and negative-U Hubbard models have the same momentum distribution functions n up (q) and n down (q). Then, we will show that n(sigma) (q) are symmetric functions about the value nBAR = 1/2. Finally, we shall briefly discuss some possible applications of these theorems to the further numerical investigations on the ground state of the Hubbard model at half-filling.
TIAN, GS. 2 RIGOROUS THEOREMS ON THE MOMENTUM DISTRIBUTION-FUNCTIONS OF THE HUBBARD-MODEL AT HALF-FILLING[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,1994,27(11):3635-3642.
