Random Field Induced Order in Low Dimension I

被引：6

作者：

Crawford, Nicholas ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2014年 / 328卷 / 01期

关键词：

AXES XY MAGNET; CONTINUOUS SYMMETRY; PHASE-TRANSITIONS; SPIN SYSTEMS; ISING-MODEL; DISORDER; BREAKING; ABSENCE; GASES; STATE;

D O I：

10.1007/s00220-014-1979-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Consider the classical XY model in a weak random external field pointing along the Y axis with strength . We prove that the model defined on with nearest neighbor coupling exhibits residual magnetic order in the horizontal direction for arbitrarily weak random field strengths and, depending on field strength, sufficiently low temperature.

引用

页码：203 / 249

页数：47

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