MONTE-CARLO CALCULATIONS OF THE CORRELATION-FUNCTIONS FOR HEISENBERG SPIN CHAINS AT T=0

被引:101
作者
LIANG, S [1 ]
机构
[1] UNIV ILLINOIS,MAT RES LAB,URBANA,IL 61801
关键词
D O I
10.1103/PhysRevLett.64.1597
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We compute the ground-state spin-spin correlation function for the one-dimensional antiferromagnetic Heisenberg model of spin 1/2, 1, and 3/2. The spin-1 chain has a disordered ground state with a correlation length of 6.2 lattice spacings whereas the spin-1/2 and the spin-3/2 chains both have (ln(r))decaying correlation functions. The logarithmic corrections are different for the spin-1/2 and the spin-3/2 chains. Finite-size scaling is used to analyze the data for chains of up to 128 spins. © 1990 The American Physical Society.
引用
收藏
页码:1597 / 1600
页数:4
相关论文
共 24 条
[1]   REALIZATION OF A WITTEN CRITICAL-THEORY IN (CH3)4NMNCL3 [J].
AFFLECK, I .
PHYSICAL REVIEW LETTERS, 1986, 56 (25) :2763-2766
[2]   CRITICAL-THEORY OF QUANTUM SPIN CHAINS [J].
AFFLECK, I ;
HALDANE, FDM .
PHYSICAL REVIEW B, 1987, 36 (10) :5291-5300
[3]   UNIVERSAL TERM IN THE FREE-ENERGY AT A CRITICAL-POINT AND THE CONFORMAL ANOMALY [J].
AFFLECK, I .
PHYSICAL REVIEW LETTERS, 1986, 56 (07) :746-748
[4]   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
[5]   CRITICAL-BEHAVIOR OF TWO-DIMENSIONAL SYSTEMS WITH CONTINUOUS SYMMETRIES [J].
AFFLECK, I .
PHYSICAL REVIEW LETTERS, 1985, 55 (13) :1355-1358
[6]   EXACT CRITICAL EXPONENTS FOR QUANTUM SPIN CHAINS, NONLINEAR SIGMA-MODELS AT THETA=PI AND THE QUANTUM HALL-EFFECT [J].
AFFLECK, I .
NUCLEAR PHYSICS B, 1986, 265 (03) :409-447
[7]  
AFFLECK I, 1989, IN PRESS FIELDS STRI
[8]   CONFORMAL-INVARIANCE, THE CENTRAL CHARGE, AND UNIVERSAL FINITE-SIZE AMPLITUDES AT CRITICALITY [J].
BLOTE, HWJ ;
CARDY, JL ;
NIGHTINGALE, MP .
PHYSICAL REVIEW LETTERS, 1986, 56 (07) :742-745
[9]   STRING THEORY ON GROUP-MANIFOLDS [J].
GEPNER, D ;
WITTEN, E .
NUCLEAR PHYSICS B, 1986, 278 (03) :493-549