The low-energy states and directional long-range order in the two-dimensional quantum compass model

被引：14
|
作者：
You, Wen-Long [1 ,2 ,3 ]
Tian, Guang-Shan [1 ]
Lin, Hai-Qing [2 ,3 ]
机构：
[1] Peking Univ, Dept Phys, Beijing 100871, Peoples R China
[2] Chinese Univ Hong Kong, Dept Phys, Shatin, Hong Kong, Peoples R China
[3] Chinese Univ Hong Kong, Inst Theoret Phys, Shatin, Hong Kong, Peoples R China
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2010年 / 43卷 / 27期
关键词：
TRANSITION-METAL OXIDES;
D O I：
10.1088/1751-8113/43/27/275001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In the present paper, we study the properties of the two-dimensional quantum compass model by a mathematically rigorous approach. Based on the Perron-Frobenius theorem and the reflection positivity method, we show that the low-energy spectrum of this model is of one-dimensional type. Furthermore, its global ground states have a directional long-range order. Our results confirm several previous conclusions obtained by either numerical or perturbation calculations
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页数：14
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