LARGE-U EXPANSIONS FOR THE HUBBARD-MODEL AT T = 0 .2.

被引:1
作者
OITMAA, J
YANG, J
HENDERSON, JA
ZHENG, WH
机构
[1] School of Physics, University of New South Wales, Kensington
来源
PHYSICAL REVIEW B | 1993年 / 48卷 / 09期
关键词
D O I
10.1103/PhysRevB.48.6210
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We investigate the ground state of the Hubbard model in one and two dimensions. Long perturbation expansions in t/U, i.e., about the atomic limit, are computed for the ground-state energy of finite lattices with N less-than-or-equal-to 10 for arbitrary electron density. We also extend the series for the one-dimensional infinite lattice by expanding the Bethe-ansatz equations. Pade-approximant analysis of the series shows a distribution of singularities that varies dramatically with the electron density n. We also investigate the effect of inclusion of next-nearest-neighbor hopping. This appears to have little effect at half-filling but is significant away from half-filling.
引用
收藏
页码:6210 / 6216
页数:7
相关论文
共 12 条
[1]   SOLUTION OF THE ONE-DIMENSIONAL HUBBARD-MODEL FOR ARBITRARY ELECTRON-DENSITY AND LARGE U [J].
CARMELO, J ;
BAERISWYL, D .
PHYSICAL REVIEW B, 1988, 37 (13) :7541-7548
[2]   CANONICAL PERTURBATION EXPANSION OF THE HUBBARD-MODEL [J].
CHAO, KA ;
SPALEK, J ;
OLES, AM .
PHYSICAL REVIEW B, 1978, 18 (07) :3453-3464
[3]  
KOPIETZ P, UNPUB
[4]  
KOPIETZ P, IN PRESS
[5]   ABSENCE OF MOTT TRANSITION IN AN EXACT SOLUTION OF SHORT-RANGE 1-BAND MODEL IN 1 DIMENSION [J].
LIEB, EH ;
WU, FY .
PHYSICAL REVIEW LETTERS, 1968, 20 (25) :1445-+
[6]   T/U EXPANSION FOR THE HUBBARD-MODEL [J].
MACDONALD, AH ;
GIRVIN, SM ;
YOSHIOKA, D .
PHYSICAL REVIEW B, 1988, 37 (16) :9753-9756
[7]   T/U EXPANSION FOR THE HUBBARD-MODEL - REPLY [J].
MACDONALD, AH ;
GIRVIN, SM ;
YOSHIOKA, D .
PHYSICAL REVIEW B, 1990, 41 (04) :2565-2568
[8]  
Mattis D. C., 1988, THEORY MAGNETISM
[9]   LARGE-U EXPANSIONS FOR THE HUBBARD-MODEL AT T = 0 [J].
OITMAA, J ;
HENDERSON, JA .
PHYSICAL REVIEW B, 1991, 44 (14) :7433-7436
[10]   STABILITY THEORY OF MAGNETIC PHASES FOR A SIMPLE MODEL OF TRANSITION METALS [J].
PENN, DR .
PHYSICAL REVIEW, 1966, 142 (02) :350-&