Exact correlation amplitude for the S=1/2 Heisenberg antiferromagnetic chain

被引:97
作者
Affleck, I [1 ]
机构
[1] Univ British Columbia, Dept Phys & Astron, Vancouver, BC V6T 1Z1, Canada
[2] Univ British Columbia, Canadian Inst Adv Res, Vancouver, BC V6T 1Z1, Canada
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 20期
关键词
D O I
10.1088/0305-4470/31/20/002
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The exact amplitude for the asymptotic correlation function in the S = 1/2 Heisenberg antiferromagnetic chain is determined: ((S0Srb)-S-a) --> (-1)(r) delta(ab)(ln r)(1/2)/[(2 pi)(3/2)r]. The behaviour of the correlation functions for small xxz anisotropy and the form of finite-size corrections to the correlation function are also analysed.
引用
收藏
页码:4573 / 4581
页数:9
相关论文
共 16 条
[1]   CRITICAL-BEHAVIOR OF SPIN-S HEISENBERG ANTIFERROMAGNETIC CHAINS - ANALYTIC AND NUMERICAL RESULTS [J].
AFFLECK, I ;
GEPNER, D ;
SCHULZ, HJ ;
ZIMAN, T .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (05) :511-529
[2]  
AFFLECK I, 1989, FIELDS STRINGS CRITI, P511
[3]   MAGNETIC-SUSCEPTIBILITY AND LOW-TEMPERATURE STRUCTURE OF THE LINEAR-CHAIN CUPRATE SR2CUO3 [J].
AMI, T ;
CRAWFORD, MK ;
HARLOW, RL ;
WANG, ZR ;
JOHNSTON, DC ;
HUANG, Q ;
ERWIN, RW .
PHYSICAL REVIEW B, 1995, 51 (09) :5994-6001
[4]   Numerical evidence for multiplicative logarithmic corrections from marginal operators [J].
Eggert, S .
PHYSICAL REVIEW B, 1996, 54 (14) :R9612-R9615
[5]   SUSCEPTIBILITY OF THE SPIN 1/2 HEISENBERG ANTIFERROMAGNETIC CHAIN [J].
EGGERT, S ;
AFFLECK, I ;
TAKAHASHI, M .
PHYSICAL REVIEW LETTERS, 1994, 73 (02) :332-335
[6]   Accurate determination of the exchange constant in Sr2CuO3 from recent theoretical results [J].
Eggert, S .
PHYSICAL REVIEW B, 1996, 53 (09) :5116-5118
[7]   NUMERICAL RENORMALIZATION-GROUP STUDY OF THE CORRELATION-FUNCTIONS OF THE ANTIFERROMAGNETIC SPIN-1/2 HEISENBERG CHAIN [J].
HALLBERG, KA ;
HORSCH, P ;
MARTINEZ, G .
PHYSICAL REVIEW B, 1995, 52 (02) :R719-R722
[8]   Finite-size scaling for correlations of quantum spin chains at criticality [J].
Koma, T ;
Mizukoshi, N .
JOURNAL OF STATISTICAL PHYSICS, 1996, 83 (3-4) :661-726
[9]   MONTE-CARLO SIMULATION OF THE S=1/2 ANTIFERROMAGNETIC HEISENBERG CHAIN AND THE LONG-DISTANCE BEHAVIOR OF THE SPIN-CORRELATION FUNCTION [J].
KUBO, K ;
KAPLAN, TA ;
BORYSOWICZ, JR .
PHYSICAL REVIEW B, 1988, 38 (16) :11550-11561
[10]   MONTE-CARLO CALCULATIONS OF THE CORRELATION-FUNCTIONS FOR HEISENBERG SPIN CHAINS AT T=0 [J].
LIANG, S .
PHYSICAL REVIEW LETTERS, 1990, 64 (13) :1597-1600