RENORMALIZATION-GROUP CALCULATION FOR THE 2-DIMENSIONAL SQUARE ISING-MODEL IN A TRANSVERSE MAGNETIC-FIELD

被引：15

作者：

HIRSCH, JE ^{[1
]}

机构：

[1] UNIV CHICAGO,DEPT PHYS,CHICAGO,IL 60637

来源：

PHYSICAL REVIEW B | 1979年 / 20卷 / 09期

关键词：

D O I：

10.1103/PhysRevB.20.3907

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We apply a recently proposed real-space renormalization-group method to the two-dimensional square Ising model in a transverse magnetic field at zero temperature. We do the calculation to first and second order in the intercell coupling; in both cases we find a nontrivial fixed point. We compare the obtained critical exponents with accepted values for the three-dimensional Ising model from high-temperature series expansions. In first order the agreement is poor, in second order we obtain good agreement with the expected values. © 1979 The American Physical Society.

引用

页码：3907 / 3912

页数：6

共 11 条

[1] QUANTUM FIELD-THEORIES ON A LATTICE - VARIATIONAL METHODS FOR ARBITRARY COUPLING STRENGTHS AND ISING-MODEL IN A TRANSVERSE MAGNETIC-FIELD
DRELL, SD
WEINSTEIN, M
YANKIELOWICZ, S
[J]. PHYSICAL REVIEW D, 1977, 16 (06) : 1769 - 1781
[2] CRITICAL EXPONENTS FOR 3-DIMENSIONAL ISING-MODEL FROM REAL-SPACE RENORMALIZATION GROUP IN 2 DIMENSIONS
FRIEDMAN, Z
[J]. PHYSICAL REVIEW LETTERS, 1976, 36 (22) : 1326 - 1328
[3] SYSTEMATIC APPLICATION OF GENERALIZED HOMOGENEOUS FUNCTIONS TO STATIC SCALING, DYNAMIC SCALING, AND UNIVERSALITY
HANKEY, A
STANLEY, HE
[J]. PHYSICAL REVIEW B, 1972, 6 (09): : 3515 - &
[4] RENORMALIZATION-GROUP TRANSFORMATION FOR QUANTUM LATTICE SYSTEMS AT ZERO TEMPERATURE
HIRSCH, JE
MAZENKO, GF
[J]. PHYSICAL REVIEW B, 1979, 19 (05): : 2656 - 2663
[5] STUDY OF CUMULANT EXPANSION FOR RENORMALIZATION TRANSFORMATIONS ON 2-DIMENSIONAL AND 3-DIMENSIONAL ISING MODELS
HSU, S
GUNTON, JD
[J]. PHYSICAL REVIEW B, 1977, 15 (05): : 2688 - 2693
[6] JAFAREY S, UNPUBLISHED
[7] KONDO LATTICE - REAL-SPACE RENORMALIZATION-GROUP APPROACH
JULLIEN, R
FIELDS, J
DONIACH, S
[J]. PHYSICAL REVIEW LETTERS, 1977, 38 (25) : 1500 - 1503
[8] ZERO-TEMPERATURE REAL-SPACE RENORMALIZATION-GROUP METHOD FOR A KONDO-LATTICE MODEL HAMILTONIAN
JULLIEN, R
FIELDS, JN
DONIACH, S
[J]. PHYSICAL REVIEW B, 1977, 16 (11) : 4889 - 4900
[9] 3-DIMENSIONAL ISING-MODEL EXPONENTS AND SCALED EQUATION OF STATE FROM LATTICE RENORMALIZATION GROUP - REPLY
SUBBARAO, K
[J]. PHYSICAL REVIEW LETTERS, 1976, 37 (25) : 1712 - 1715
[10] RELATIONSHIP BETWEEN D-DIMENSIONAL QUANTAL SPIN SYSTEMS AND (D+1)-DIMENSIONAL ISING SYSTEMS - EQUIVALENCE, CRITICAL EXPONENTS AND SYSTEMATIC APPROXIMANTS OF PARTITION-FUNCTION AND SPIN CORRELATIONS
SUZUKI, M
[J]. PROGRESS OF THEORETICAL PHYSICS, 1976, 56 (05): : 1454 - 1469

← 1 2 →