Phase transitions in the random field Ising model in the presence of a transverse field

被引：11

作者：

Dutta, A ^{[1
]}

Chakrabarti, BK ^{[1
]}

Stinchcombe, RB ^{[1
]}

机构：

[1] DEPT PHYS,OXFORD OX1 3NP,ENGLAND

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 17期

关键词：

D O I：

10.1088/0305-4470/29/17/007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We have studied the phase transition behaviour of the random field Ising model in the presence of a transverse (or tunnelling) field. The mean field phase diagram has been studied in detail, and in particular the nature of the transition induced by the tunnelling (transverse) field at zero temperature. A modified hyperscaling relation for the zero-temperature transition has been derived using the Suzuki-Trotter formalism and a modified 'Harris criterion'. A mapping of the model to a randomly diluted antiferromagnetic Ising model in uniform longitudinal and transverse field is also given.

引用

页码：5285 / 5296

页数：12

共 26 条

[11] RANDOM FIELD EFFECTS IN DISORDERED ANISOTROPIC ANTI-FERROMAGNETS [J].

FISHMAN, S ;

AHARONY, A .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1979, 12 (18) :L729-L733

[12] EVIDENCE FOR 2 EXPONENT SCALING IN THE RANDOM-FIELD ISING-MODEL [J].

GOFMAN, M ;

ADLER, J ;

AHARONY, A ;

HARRIS, AB ;

SCHWARTZ, M .

PHYSICAL REVIEW LETTERS, 1993, 71 (10) :1569-1572

[13] EFFECT OF RANDOM DEFECTS ON CRITICAL BEHAVIOR OF ISING MODELS [J].

HARRIS, AB .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1974, 7 (09) :1671-1692

[14]

HERTZ J, 1976, PHYS REV B, V14, P1163

[15] GLASSY TRANSITION IN THE 3-DIMENSIONAL RANDOM-FIELD ISING-MODEL [J].

MEZARD, M ;

MONASSON, R .

PHYSICAL REVIEW B, 1994, 50 (10) :7199-7202

[16] REPLICA SYMMETRY-BREAKING IN THE RANDOM FIELD ISING-MODEL [J].

MEZARD, M ;

YOUNG, AP .

EUROPHYSICS LETTERS, 1992, 18 (07) :653-659

[17] CRITICAL EXPONENTS OF THE 3-DIMENSIONAL RANDOM-FIELD ISING-MODEL [J].

RIEGER, H ;

YOUNG, AP .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (20) :5279-5284

[18] CRITICAL-BEHAVIOR OF THE 3-DIMENSIONAL RANDOM-FIELD ISING-MODEL - 2-EXPONENT SCALING AND DISCONTINUOUS TRANSITION [J].

RIEGER, H .

PHYSICAL REVIEW B, 1995, 52 (09) :6659-6667

[19]

RIEGER H, 1994, ANN REV COMPUTATIONA, V2, P925

[20] RANDOM-FIELD INSTABILITY OF FERROMAGNETIC STATE [J].

SCHNEIDER, T ;

PYTTE, E .

PHYSICAL REVIEW B, 1977, 15 (03) :1519-1522

← 1 2 3 →