SERIES EXPANSIONS FROM CORNER TRANSFER MATRICES - SQUARE LATTICE ISING-MODEL

被引：47

作者：

BAXTER, RJ

ENTING, IG

机构：

[1] Research School of Physical Sciences, The Australian National University, Canberra

来源：

JOURNAL OF STATISTICAL PHYSICS | 1979年 / 21卷 / 02期

关键词：

corner transfer matrices; Lattice models; series expansions;

D O I：

10.1007/BF01008694

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The corner transfer matrix formalism is used to obtain low-temperature series expansions for the square lattice Ising model in a field. This algebraic technique appears to be far more efficient than conventional methods based on combinatorial enumeration. © 1979 Plenum Publishing Corporation.

引用

收藏

页码：103 / 123

页数：21

相关论文

共 11 条

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

BAXTER, RJ .

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

[2] CORNER TRANSFER MATRICES OF 8-VERTEX MODEL .1. LOW-TEMPERATURE EXPANSIONS AND CONJECTURED PROPERTIES [J].

BAXTER, RJ .

JOURNAL OF STATISTICAL PHYSICS, 1976, 15 (06) :485-503

[3] DIMERS ON A RECTANGULAR LATTICE [J].

BAXTER, RJ .

JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (04) :650-&

[4] VARIATIONAL APPROXIMATIONS FOR SQUARE LATTICE MODELS IN STATISTICAL-MECHANICS [J].

BAXTER, RJ .

JOURNAL OF STATISTICAL PHYSICS, 1978, 19 (05) :461-478

[5] ON THE THEORY OF COOPERATIVE PHENOMENA IN CRYSTALS [J].

DOMB, C .

ADVANCES IN PHYSICS, 1960, 9 (34) :149-361

[6]

Kramers HA, 1941, PHYS REV, V60, P263, DOI 10.1103/PhysRev.60.263

[7]

MCCOY BM, 1967, PHYS REV, V155, P438, DOI 10.1103/PhysRev.155.438

[8] Crystal statistics I A two-dimensional model with an order-disorder transition [J].

Onsager, L .

PHYSICAL REVIEW, 1944, 65 (3/4) :117-149

[9] DERIVATION OF LOW-TEMPERATURE EXPANSION FOR ISING-MODEL .3. 2-DIMENSIONAL LATTICES - FIELD GROUPING [J].

SYKES, MF ;

GAUNT, DS ;

MATTINGLY, SR ;

ESSAM, JW ;

ELLIOTT, CJ .

JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (08) :1066-1070

[10] SQUARE LATTICE VARIATIONAL APPROXIMATIONS APPLIED TO THE ISING-MODEL [J].

TSANG, SK .

JOURNAL OF STATISTICAL PHYSICS, 1979, 20 (01) :95-114