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二维反铁磁Heisenberg模型(s=1/2)的低能性质研究
引用本文:应和平,U. J. WIESE. 二维反铁磁Heisenberg模型(s=1/2)的低能性质研究[J]. 物理学报, 1993, 42(10): 1684-1690
作者姓名:应和平  U. J. WIESE
作者单位:(1)Institute for Theoretical Physics,University of Bern CH-3012 Bern,Switzerland; (2)浙江近代物理中心,浙江大学物理系,杭州310027
基金项目:国家自然科学基金;浙江大学校基金
摘    要:利用一种有效的Monte Carlo簇团迭代方法进行了关于二维反铁磁Heisenberg量子模型的数值研究。比较手征微扰理论的有关解析结果,在有限温度和有限体积下精确地确定了该系统的重要低能参数:基态能量密度eo=-0.6693(1)J/a2,参差磁化强度Ms=0.3076(4)/a2,自旋波速度?c=1.68(1)Ja和自旋块度(spin stiffness)ρs=0.185(5)J。计算结果与关键词

关 键 词:反铁磁性 海森伯模型 低能 超导体
收稿时间:1992-12-29

A NUMERICAL STUDY FOR LOW ENERGY PARAMETERS OF THE TWO-DIMENSIONAL HEISENBERG ANTIFERROMAGNET
YING HE-PING and U. J. WIESE. A NUMERICAL STUDY FOR LOW ENERGY PARAMETERS OF THE TWO-DIMENSIONAL HEISENBERG ANTIFERROMAGNET[J]. Acta Physica Sinica, 1993, 42(10): 1684-1690
Authors:YING HE-PING and U. J. WIESE
Abstract:A Monte Carlo simulation study for the two-dimensional antiferromagnetic s=1/2 quantum Heisenberg model is performed using an efficient cluster algorithm developed by present authors. Comparing the finite temperature and finite size effects of various quantities with recent results from the chiral perturbation theory we determine the low energy parameters of the system very precisely. We find that e0= -0. 6693(1)J/a2 for the ground state energy density, Ms= 0.3076(4)/a2 for the staggered magnetization, ?c = 1.68(l)Ja for the spin-wave velocity and ρs= 0.185(5)J for the spin stiffness. Our results agree with the experimental data for the undoped precursor insulators of La2CuO4.
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