Analyticity in Hubbard models

被引：4
|
作者：
Ueltschi, D [1 ]
机构：
[1] Ecole Polytech Fed Lausanne, Inst Phys Theor, CH-1015 Lausanne, Switzerland
来源：
JOURNAL OF STATISTICAL PHYSICS | 1999年 / 95卷 / 3-4期
关键词：
Hubbard model; local interactions; analyticity of free energy; uniqueness of Gibbs states;
D O I：
10.1023/A:1004599410952
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Hubbard model describes a lattice system of quantum particles with local ton-site) interactions. Its free energy is analytic when beta t is small, or beta t(2)/U is small; here, beta is the inverse temperature, U the on-site repulsion, and t the hopping coefficient. For more general models with Hamiltonian H = V+T where V involves local terms only, the free energy is analytic when beta parallel to T parallel to is small, irrespective of V. There exists a unique Gibbs state showing exponential decay of spatial correlations. These properties are rigorously established in this paper.
引用
收藏
页码：693 / 717
页数：25
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