CORNER TRANSFER-MATRICES AND CORNER MAGNETIZATION FOR THE ISING-MODEL

被引：20

作者：

DAVIES, B ^{[1
]}

PESCHEL, I ^{[1
]}

机构：

[1] FREE UNIV BERLIN,FACHBEREICH PHYS,W-1000 BERLIN 33,GERMANY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 06期

关键词：

D O I：

10.1088/0305-4470/24/6/021

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the corner magnetization of an Ising square lattice with free edges along a diagonal direction. Using some remarkable properties of the corner transfer matrix, we give a unified treatment for various opening angles. The calculation of the magnetization is reduced to the solution of a matrix equation. In the thermodynamic limit we construct an explicit form of this equation and discuss its numerical and asymptotic solution and the results obtained thereby.

引用

页码：1293 / 1306

页数：14

共 22 条

[1] 8-VERTEX SOS MODEL AND GENERALIZED ROGERS-RAMANUJAN-TYPE IDENTITIES [J].

ANDREWS, GE ;

BAXTER, RJ ;

FORRESTER, PJ .

JOURNAL OF STATISTICAL PHYSICS, 1984, 35 (3-4) :193-266

[2]

[Anonymous], 1996, TABLES INTEGRALS SER

[3] MAGNETIZATION AT CORNERS IN 2-DIMENSIONAL ISING-MODELS [J].

BARBER, MN ;

PESCHEL, I ;

PEARCE, PA .

JOURNAL OF STATISTICAL PHYSICS, 1984, 37 (5-6) :497-527

[4] CRITICAL PROPERTIES OF A SYSTEM NEAR AN ANGLE BOUNDARY [J].

BARIEV, RZ .

THEORETICAL AND MATHEMATICAL PHYSICS, 1986, 69 (01) :1061-1062

[5] 8-VERTEX MODEL IN LATTICE STATISTICS AND ONE-DIMENSIONAL ANISOTROPIC HEISENBERG CHAIN .3. EIGENVECTORS OF TRANSFER MATRIX AND HAMILTONIAN [J].

BAXTER, R .

ANNALS OF PHYSICS, 1973, 76 (01) :48-71

[6]

Baxter R. J., 2007, EXACTLY SOLVED MODEL

[7] CORNER TRANSFER MATRICES OF 8-VERTEX MODEL .2. ISING-MODEL CASE [J].

BAXTER, RJ .

JOURNAL OF STATISTICAL PHYSICS, 1977, 17 (01) :1-14

[8] CONFORMAL-INVARIANCE AND SURFACE CRITICAL-BEHAVIOR [J].

CARDY, JL .

NUCLEAR PHYSICS B, 1984, 240 (04) :514-532

[9] AUTOMORPHIC PROPERTIES OF LOCAL HEIGHT PROBABILITIES FOR INTEGRABLE SOLID-ON-SOLID MODELS [J].

DATE, E ;

JIMBO, M ;

MIWA, T ;

OKADO, M .

PHYSICAL REVIEW B, 1987, 35 (04) :2105-2107

[10] CORNER TRANSFER-MATRICES FOR THE ISING-MODEL [J].

DAVIES, B .

PHYSICA A, 1988, 154 (01) :1-20

← 1 2 3 →