HIGH-TEMPERATURE SERIES EXPANSIONS FOR THE (2 + 1)-DIMENSIONAL ISING-MODEL

被引:104
作者
HE, HX
HAMER, CJ
OITMAA, J
机构
[1] Sch. of Phys., New South Wales Univ., Kensington, NSW
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 10期
关键词
D O I
10.1088/0305-4470/23/10/018
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using efficient cluster expansion methods, the known high-temperature series for the vacuum energy, specific heat, susceptibility and mass gap of the (2+1)-dimensional Ising model on the square and triangular lattices have been extended by several terms. Estimates of the critical indices demonstrate very convincing universality with the Euclidean version of the model.
引用
收藏
页码:1775 / 1787
页数:13
相关论文
共 15 条
[1]  
[Anonymous], 1989, PHASE TRANSITIONS CR
[2]  
[Anonymous], 1974, PHASE TRANSITIONS CR
[3]   ACCURATE ESTIMATE OF V FOR THE 3-DIMENSIONAL ISING-MODEL FROM A NUMERICAL MEASUREMENT OF ITS PARTITION-FUNCTION [J].
BHANOT, G ;
SALVADOR, R ;
BLACK, S ;
CARTER, P ;
TORAL, R .
PHYSICAL REVIEW LETTERS, 1987, 59 (07) :803-806
[4]   THE HIGH-TEMPERATURE SUSCEPTIBILITY AND SPIN SPIN CORRELATION-FUNCTION OF THE 3-DIMENSIONAL ISING-MODEL [J].
GUTTMANN, AJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (07) :1855-1863
[5]   CLUSTER EXPANSIONS FOR THE ISING AND HEISENBERG SPIN MODELS IN HAMILTONIAN LATTICE FIELD-THEORY [J].
HAMER, CJ ;
GUTTMANN, AJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (17) :3653-3661
[6]   CLUSTER EXPANSIONS IN THE (2+1)D ISING-MODEL [J].
HAMER, CJ ;
IRVING, AC .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (08) :1649-1664
[7]   THE (2+1)D ISING-MODEL ON A TRIANGULAR LATTICE [J].
HAMER, CJ ;
JOHNSON, CHJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (03) :423-435
[8]   METHODS IN HAMILTONIAN LATTICE FIELD-THEORY .1. CONNECTED DIAGRAM EXPANSIONS [J].
HAMER, CJ ;
IRVING, AC .
NUCLEAR PHYSICS B, 1984, 230 (03) :336-360
[9]   STATISTICAL-MECHANICS OF THE 2D QUANTUM XY MODEL IN A TRANSVERSE FIELD [J].
HENKEL, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (14) :L795-L799
[10]   PERTURBATION-SERIES FOR THE MASS GAP OF THE (1+1)-DIMENSIONAL O(2)-MODEL [J].
HORNBY, PG ;
BARBER, MN .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (05) :827-832