Blume-Capel Ising ferromagnet with competing crystal-field interactions

被引：8

作者：

Snowman, Daniel P. ^{[1
]}

机构：

[1] Rhode Isl Coll, Dept Phys Sci, Providence, RI 02908 USA

来源：

PHYSICAL REVIEW E | 2009年 / 79卷 / 04期

关键词：

critical exponents; crystal field interactions; ferromagnetism; Ising model; magnetic transitions; renormalisation; EMERY-GRIFFITHS MODEL; RENORMALIZATION-GROUP; SPIN-GLASS; PHASE-TRANSITIONS; DIAGRAMS; SYSTEMS;

D O I：

10.1103/PhysRevE.79.041126

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

This investigation employs a hierarchical lattice and renormalization-group methodology to probe the effects of competing crystal-field interactions in a Blume-Capel Ising system. Several phase diagrams have been produced in temperature-crystal-field space as the strength of the competing crosslink crystal-field interactions is varied. Each sink has been interpreted and critical exponents have been calculated for the higher-order transitions.

引用

页数：7

共 33 条

[1] SCALE-INVARIANT QUENCHED DISORDER AND ITS STABILITY-CRITERION AT RANDOM CRITICAL-POINTS [J].

ANDELMAN, D ;

BERKER, AN .

PHYSICAL REVIEW B, 1984, 29 (05) :2630-2635

[2]

Arenzon JJ, 1996, J PHYS I, V6, P1143, DOI 10.1051/jp1:1996120

[3] RENORMALIZATION-GROUP CALCULATIONS OF FINITE SYSTEMS - ORDER PARAMETER AND SPECIFIC-HEAT FOR EPITAXIAL ORDERING [J].

BERKER, AN ;

OSTLUND, S .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1979, 12 (22) :4961-4975

[4] BLUME-EMERY-GRIFFITHS-POTTS MODEL IN 2 DIMENSIONS - PHASE-DIAGRAM AND CRITICAL PROPERTIES FROM A POSITION-SPACE RENORMALIZATION GROUP [J].

BERKER, AN ;

WORTIS, M .

PHYSICAL REVIEW B, 1976, 14 (11) :4946-4963

[5] THEORY OF FIRST-ORDER MAGNETIC PHASE CHANGE IN UO2 [J].

BLUME, M .

PHYSICAL REVIEW, 1966, 141 (02) :517-&

[6] ISING MODEL FOR LAMBDA TRANSITION AND PHASE SEPARATION IN HE-3-HE-4 MIXTURES [J].

BLUME, M ;

EMERGY, VJ ;

GRIFFITHS, RB .

PHYSICAL REVIEW A-GENERAL PHYSICS, 1971, 4 (03) :1071-+

[7] Blume-Emery-Griffiths model in a random crystal field [J].

Branco, NS .

PHYSICAL REVIEW B, 1999, 60 (02) :1033-1037

[8] Mean-field study of the degenerate Blume-Emery-Griffiths model in a random crystal field [J].

Branco, NS ;

Bachmann, L .

PHYSICA A, 1998, 257 (1-4) :319-324

[9] Real-space renormalization-group study of the two-dimensional Blume-Capel model with a random crystal field [J].

Branco, NS ;

Boechat, BM .

PHYSICAL REVIEW B, 1997, 56 (18) :11673-11677

[10] ON POSSIBILITY OF FIRST-ORDER PHASE TRANSITIONS IN ISING SYSTEMS OF TRIPLET IONS WITH ZERO-FIELD SPLITTING [J].

CAPEL, HW .

PHYSICA, 1966, 32 (05) :966-&

← 1 2 3 4 →