MIGDAL-KADANOFF STUDY OF THE RANDOM-FIELD ISING-MODEL

被引：47

作者：

CAO, MS

MACHTA, J

机构：

[1] Department of Physics and Astronomy, University of Massachusetts, Amherst

来源：

PHYSICAL REVIEW B | 1993年 / 48卷 / 05期

关键词：

D O I：

10.1103/PhysRevB.48.3177

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The random-field Ising model is studied within a Migdal-Kadanoff renormalization-group scheme. For dimension d = 3 the recursion relations and the zero-temperature fixed point are studied numerically. There is a continuous phase transition with magnetization exponent beta = 0.02. The magnetization as a function of temperature displays an abrupt crossover from pure Ising to random-field behavior. Analytic results are obtained within a d = 2 + epsilon expansion.

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页码：3177 / 3182

页数：6

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