Non-dissipative thermal transport in the massive regimes of the XXZ chain
Non-dissipative thermal transport in the massive regimes of the XXZ chain
复制标题
XXZ 链大范围内的非耗散热传输
DOI：
10.1088/0305-4470/36/46/006
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
A. Kluemper
中科院分区：
文献类型：
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作者：
K. Sakai;A. Kluemper
本文给出了一维自旋1/2XXZ模型在大质量反铁磁和铁磁体系中的热导率的精确结果。热德鲁德重量计算的晶格路径积分公式。宽范围的温度和各向异性的数值结果以及分析结果的低和高的温度限制。在有限温度下，热德鲁德重量是有限的，因此即使在大质量状态下也存在非耗散热输运。在低温下，热德鲁德重量表现为$D（T）\sim \exp（-\delta/T）/\sqrt{T}$，其中$\delta$是反铁磁（或铁磁）区域的单自旋子（或单磁振子）激发能。
We present exact results on the thermal conductivity of the one-dimensional spin-1/2 XXZ model in the massive antiferromagnetic and ferromagnetic regimes. The thermal Drude weight is calculated by a lattice path integral formulation. Numerical results for wide ranges of temperature and anisotropy as well as analytical results in the low and high temperature limits are presented. At finite temperature, the thermal Drude weight is finite and hence there is non-dissipative thermal transport even in the massive regime. At low temperature, the thermal Drude weight behaves as $D(T)\sim \exp(-\delta/T)/\sqrt{T}$ where $\delta$ is the one-spinon (respectively one-magnon) excitation energy for the antiferromagnetic (respectively ferromagnetic) regime.