EXTENDED PROOF OF LONG-RANGE ORDER IN THE 2-DIMENSIONAL QUANTUM SPIN-1/2 XXZ-MODEL AT T = 0

被引：12
|
作者：
WISCHMANN, HA
MULLERHARTMANN, E
机构：
来源：
JOURNAL DE PHYSIQUE I | 1991年 / 1卷 / 05期
关键词：
D O I：
10.1051/jp1:1991109
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove the existence of long-range order (LRO) in the ground state of the 2D quantum spin-1/2 XXZ-model for all anisotropies 0 less-than-or-equal-to DELTA less-than-or-equal-to 0.22 and DELTA greater-than-or-equal-to 1.47. We achieve this extension of previous proofs by developing an improved variant of the Dyson-Lieb-Simon proof of LRO in quantum spin systems and by deriving improved upper and lower bounds for the ground state energy of the XXZ-model.
引用
收藏
页码：647 / 657
页数：11
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