Transport in a one-dimensional isotropic Heisenberg model at high temperature

Transport in a one-dimensional isotropic Heisenberg model at high temperature
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高温下一维各向同性海森堡模型中的输运

DOI:
10.1088/1742-5468/2011/12/p12008
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发表时间:
2011
期刊:
Journal of Statistical Mechanics: Theory and Experiment
影响因子:
--
通讯作者:
M. Znidaric
M. Znidaric
中科院分区:
--
文献类型:
--
作者:
M. Znidaric

文献摘要

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研究了一维各向同性自旋1/2海森堡模型中的磁化输运。结果表明,在高温和恒小驱动的非平衡稳态下,磁化电流依赖于系统长度L为~ 1/L0.5,这意味着扩散常数发散为~ L0.5。讨论了控制非平衡态弛豫的超算子的谱性质。
Magnetization transport in a one-dimensional isotropic spin 1/2 Heisenberg model is studied. It is shown that in a nonequilibrium steady state at high temperature and constant small driving the magnetization current depends on the system length L as ∼ 1/L0.5, meaning that the diffusion constant diverges as ∼ L0.5. Spectral properties of a superoperator governing the relaxation towards a nonequilibrium steady state are also discussed.