Order by disorder, without order, in a two-dimensional spin system with O(2) symmetry

被引：20

作者：

Biskup, M ^{[1
]}

Chayes, L

Kivelson, SA

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90024 USA

[2] Univ Calif Los Angeles, Dept Phys, Los Angeles, CA USA

来源：

ANNALES HENRI POINCARE | 2004年 / 5卷 / 06期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/s00023-004-0196-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a rigorous proof of an ordering transition for a two-component two-dimensional antiferromagnet with nearest and next-nearest neighbor interactions. The low-temperature phase contains two states distinguished by local order among columns or, respectively, rows. Overall, there is no magnetic order in accord with the classic Mermin-Wagner theorem. The method of proof employs a rigorous version of "order by disorder," whereby a high degeneracy among the ground states is lifted according to the differences in their associated spin-wave spectra,

引用

页码：1181 / 1205

页数：25