The thermal conductivity of the spin-1/2 XXZ chain at arbitrary temperature
The thermal conductivity of the spin-1/2 XXZ chain at arbitrary temperature
复制标题
自旋1/2 XXZ链在任意温度下的热导率
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
Kazumitsu Sakai
中科院分区：
文献类型：
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作者：
Andreas Kluemper;Kazumitsu Sakai
最近的调查的动机强关联一维模型和准一维磁系统的热导率测量的输运性质，我们提出的可积自旋1/2 $XXZ$链的结果。该模型的热导率$kappa（omega）$为$Rekappa（omega）= Ildekappa delta（omega）$，即对于零频率$omega$它是无限的。重量$ 通过晶格路径积分公式精确地计算δ峰的Idekappa。给出了大范围温度和各向异性的数值结果。分析研究了低温和高温极限。
Motivated by recent investigations of transport properties of strongly correlated 1d models and thermal conductivity measurements of quasi 1d magnetic systems we present results for the integrable spin-1/2 $XXZ$ chain. The thermal conductivity $kappa(omega)$ of this model has $Rekappa(omega)= ildekappa delta(omega)$, i.e. it is infinite for zero frequency $omega$. The weight $ ildekappa$ of the delta peak is calculated exactly by a lattice path integral formulation. Numerical results for wide ranges of temperature and anisotropy are presented. The low and high temperature limits are studied analytically.