2-DIMENSIONAL SPIN-1/2 HEISENBERG-ANTIFERROMAGNET - A QUANTUM MONTE-CARLO STUDY

被引:201
作者
MAKIVIC, MS
DING, HQ
机构
[1] Department of Physics, California Institute of Technology, Pasadena
来源
PHYSICAL REVIEW B | 1991年 / 43卷 / 04期
关键词
D O I
10.1103/PhysRevB.43.3562
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Spin-1/2 nearest-neighbor Heisenberg antiferromagnet on a square lattice is studied via a large-scale quantum Monte Carlo simulation. We developed a fast and efficient multispin coding algorithm on a parallel supercomputer, based on the Suzuki-Trotter transformation. We performed high-statistics simulations on lattices as large as 128 X 128 spins, in the temperature range from 0.25J to 2.5J. We calculated energy, specific heat, uniform and staggered susceptibility, and staggered correlation function, from which we deduce the correlation length. For temperatures higher than J, the results are in excellent agreement with high-temperature series expansion. At low temperatures the long-wavelength behavior is essentially classical. Our data show that the correlation length and staggered susceptibility are quantitatively well described by the renormalized classical picture at the two-loop level of approximation. From the divergence of correlation length, we deduce the value of quantum-renormalized spin stiffness, rho-s/J = 0.199(2). We give evidence that the correlation function is of Ornstein-Zernike type. By comparing the largest measured correlation lengths with neutron scattering experiment on La2CuO4, we deduce the value of effective exchange coupling J = 1450 +/- 30 K.
引用
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页码:3562 / 3574
页数:13
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