Discontinuity of the spin-wave stiffness in the two-dimensional XY model

被引：20

作者：

Chayes, L ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1998年 / 197卷 / 03期

关键词：

D O I：

10.1007/s002200050466

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using a graphical representation based on the Wolff algorithm, the (classical) d-dimensional XY model and some related spin-systems are studied. It is proved that in d = 2, the predicted discontinuity in the spin-wave stiffness indeed occurs. Further, the critical properties of the spin-system are related to percolation properties of the graphical representation. In particular, a suitably defined notion of percolation in the graphical representation is proved to be the necessary and sufficient condition for positivity of the spontaneous magnetization.

引用

页码：623 / 640

页数：18

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