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Exact solutions of a class of S = 1 quantum Ising spin models

机译:一类S = 1量子伊辛自旋模型的精确解

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摘要

We propose a hole decomposition scheme to exactly solve a class of spin-1 quantum Ising models with transverse or longitudinal single-ion anisotropy. In this scheme, the spin-1 model is mapped onto a family of the S= 1/2 transverse Ising models, characterized by the total number of holes. A recursion formula is derived for the partition function based on the reduced S=1/2 Ising model. This simplifies greatly the summation over all the hole configurations. It allows the thermodynamic quantities to be rigorously determined in the thermo-dynamic limit. The ground-state phase diagram is determined for both the uniform and dimerized spin chains. The corresponding thermodynamic properties are calculated and discussed.
机译:我们提出一种空穴分解方案,以精确求解一类具有横向或纵向单离子各向异性的自旋1量子伊辛模型。在此方案中,将spin-1模型映射到以孔总数为特征的S = 1/2横向Ising模型族。基于简化的S = 1/2 Ising模型,为分区函数推导了递归公式。这大大简化了所有孔配置的求和。它允许在热力学极限中严格确定热力学量。确定均匀和二聚自旋链的基态相图。计算并讨论了相应的热力学性质。

著录项

  • 来源
    《Physical review》 |2009年第21期|214427.1-214427.10|共10页
  • 作者单位

    Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China;

    Institute of Theoretical Physics, Chinese Academy of Science, P.O. Box 2735, Beijing 100080, China;

    College of Science, Northeastern University, Shengyang 110006, China;

    Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China;

    Institute of Theoretical Physics, Chinese Academy of Science, P.O. Box 2735, Beijing 100080, China Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100080, China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    spin chain models; integrable systems; crystal-field theory and spin hamiltonians;

    机译:自旋链模型;可集成系统;晶体场理论与自旋哈密尔顿;

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