Critical behavior of the spin-3/2 Blume-Capel model in two dimensions

被引：128

作者：

Xavier, JC ^{[1
]}

Alcaraz, FC

Lara, DP

Plascak, JA

机构：

[1] Univ Fed Sao Carlos, Dept Fis, BR-13565905 Sao Carlos, SP, Brazil

[2] Univ Fed Minas Gerais, Dept Fis, BR-30161970 Belo Horizonte, MG, Brazil

来源：

PHYSICAL REVIEW B | 1998年 / 57卷 / 18期

关键词：

D O I：

10.1103/PhysRevB.57.11575

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The phase diagram of the spin-3/2 Blume-Capel model in two dimensions is explored by conventional finite-size scaling, conformal invariance, and Monte Carlo simulations. The model in its tau-continuum Hamiltonian version is also considered and compared with other spin-3/2 quantum chains. Our results indicate that, different from the standard spin-1 Blume-Capel model, there is no multicritical point along the order-disorder transition line. This is in qualitative agreement with mean-field prediction, but in disagreement with previous approximate renormalization-group calculations.

引用

页码：11575 / 11581

页数：7

共 36 条

[1] UNIVERSAL TERM IN THE FREE-ENERGY AT A CRITICAL-POINT AND THE CONFORMAL ANOMALY [J].

AFFLECK, I .

PHYSICAL REVIEW LETTERS, 1986, 56 (07) :746-748

[2] HAMILTONIAN STUDIES OF THE BLUME-EMERY-GRIFFITHS MODEL [J].

ALCARAZ, FC ;

DEFELICIO, JRD ;

KOBERLE, R ;

STILCK, JF .

PHYSICAL REVIEW B, 1985, 32 (11) :7469-7475

[3] PHASE-TRANSITIONS IN THE SPIN-3/2 BLUME-EMERY-GRIFFITHS MODEL [J].

BAKCHICH, A ;

BASSIR, A ;

BENYOUSSEF, A .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1993, 195 (1-2) :188-196

[4] OPERATOR CONTENT OF THE BLUME-CAPEL QUANTUM CHAIN [J].

BALBAO, DB ;

DEFELICIO, JRD .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (04) :L207-L211

[5]

Barbar M N., 1983, Phase Transitions and Critical Phenomena, Vvol 8, pp 145

[6] FINITE-SIZE SCALING STUDY OF THE TWO-DIMENSIONAL BLUME-CAPEL MODEL [J].

BEALE, PD .

PHYSICAL REVIEW B, 1986, 33 (03) :1717-1720

[7] 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

[8]

BINDER K, 1979, MONTE CARLO METHODS, pCH1

[9] CONFORMAL-INVARIANCE, THE CENTRAL CHARGE, AND UNIVERSAL FINITE-SIZE AMPLITUDES AT CRITICALITY [J].

BLOTE, HWJ ;

CARDY, JL ;

NIGHTINGALE, MP .

PHYSICAL REVIEW LETTERS, 1986, 56 (07) :742-745

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

BLUME, M .

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

← 1 2 3 4 →