Short-distance thermal correlations in the massive XXZ chain

Short-distance thermal correlations in the massive XXZ chain
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巨大 XXZ 链中的短距离热关联

DOI：
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发表时间：
2009
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通讯作者：
A. Klumper
A. Klumper
中科院分区：
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文献类型：
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作者：
Christian Trippe;F. Gohmann;A. Klumper

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摘要：我们探索无限空间中的短距离静态相关函数 XXZ链使用先前派生的公式表示 因式分解形式的相关函数。我们计算两点函数 2、3和4个晶格位置随温度变化的范围 和大质量区域Δ&gt；1中的磁场，扩展了我们的 反铁磁全参数平面的前人结果 链(Δ&gt；-1和任意域h)。因式分解公式 在数值上是有效的，并且允许取各向同性极限 (Δ=1)和伊辛限值(Δ=∞)。在危急关头 将全偏振相与奈尔相分离的场， 伊辛链具有指数多个基态。这个 对于较大但有限的量子涨落，剩余熵被提升 Δ在相关性中引起意想不到的交叉现象。
AbstractWe explore short-distance static correlation functions in the infinite XXZ chain using previously derived formulae which represent the correlation functions in factorized form. We compute two-point functions ranging over 2, 3 and 4 lattice sites as functions of the temperature and the magnetic field in the massive regime Δ > 1, extending our previous results to the full parameter plane of the antiferromagnetic chain (Δ > -1 and arbitrary field h). The factorized formulae are numerically efficient and allow for taking the isotropic limit (Δ = 1) and the Ising limit (Δ = ∞). At the critical field separating the fully polarized phase from the Néel phase, the Ising chain possesses exponentially many ground states. The residual entropy is lifted by quantum fluctuations for large but finite Δ inducing unexpected crossover phenomena in the correlations.