FINITE-SIZE SCALING STUDY OF S = 1 XXZ SPIN CHAIN

被引：42

作者：

SAKAI, T

TAKAHASHI, M

机构：

[1] Institute for Solid State Physics, University of Tokyo, Tokyo 106, Roppongi, Minato-ku

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1990年 / 59卷 / 08期

关键词：

D O I：

10.1143/JPSJ.59.2688

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The S=1 XXZ spin chain is studied by the finite-size scaling and phenomenological renormalization-group technique up to N=16. It is found that a two-dimensional Ising-model-type transition exists at λ = 1.188±0.007, and a Kosterlitz-Thouless-type transition exists at λ=-0.01±0.03. It agrees with Haldane's conjecture completely. © 1990, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.

引用

收藏

页码：2688 / 2693

页数：6

相关论文

共 15 条

[1] VALENCE BOND GROUND-STATES IN ISOTROPIC QUANTUM ANTIFERROMAGNETS [J].

AFFLECK, I ;

KENNEDY, T ;

LIEB, EH ;

TASAKI, H .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 115 (03) :477-528

[2]

[Anonymous], 1983, PHASE TRANSITIONS CR

[3] GROUND-STATE PROPERTIES OF A SPIN-1 ANTI-FERROMAGNETIC CHAIN [J].

BOTET, R ;

JULLIEN, R .

PHYSICAL REVIEW B, 1983, 27 (01) :613-615

[4] FINITE-SIZE-SCALING STUDY OF THE SPIN-1 HEISENBERG-ISING CHAIN WITH UNIAXIAL ANISOTROPY [J].

BOTET, R ;

JULLIEN, R ;

KOLB, M .

PHYSICAL REVIEW B, 1983, 28 (07) :3914-3921

[5] CRITICAL PROPERTIES OF THE SPIN-1 HEISENBERG CHAIN WITH UNIAXIAL ANISOTROPY [J].

GLAUS, U ;

SCHNEIDER, T .

PHYSICAL REVIEW B, 1984, 30 (01) :215-225

[6] VARIATIONAL APPROACH TO THE XXZ SPIN-1 LINEAR-CHAIN - ELEMENTARY EXCITATIONS AND HALDANE CONJECTURE [J].

GOMEZSANTOS, G .

PHYSICAL REVIEW LETTERS, 1989, 63 (07) :790-793

[7] CONTINUUM DYNAMICS OF THE 1-D HEISENBERG ANTI-FERROMAGNET - IDENTIFICATION WITH THE O(3) NON-LINEAR SIGMA-MODEL [J].

HALDANE, FDM .

PHYSICS LETTERS A, 1983, 93 (09) :464-468

[8] NON-LINEAR FIELD-THEORY OF LARGE-SPIN HEISENBERG ANTI-FERROMAGNETS - SEMI-CLASSICALLY QUANTIZED SOLITONS OF THE ONE-DIMENSIONAL EASY-AXIS NEEL STATE [J].

HALDANE, FDM .

PHYSICAL REVIEW LETTERS, 1983, 50 (15) :1153-1156

[9]

ITZYKSON C, 1989, STATISTICAL FIELD TH

[10] COMPARISON OF GROUND-STATE PROPERTIES FOR ODD HALF-INTEGER AND INTEGER SPIN ANTI-FERROMAGNETIC HEISENBERG-CHAINS [J].

KOLB, M ;

BOTET, R ;

JULLIEN, R .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (17) :L673-L677