A Kinetic Theory for Quantum Transport in Aperiodic Media
A Kinetic Theory for Quantum Transport in Aperiodic Media
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非周期介质中量子传输的动力学理论
DOI：
10.1023/a:1023084017398
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发表时间：
1998
影响因子：
1.6
通讯作者：
Jean Bellissard
中科院分区：
文献类型：
--
作者：
Hermann Schulz;Jean Bellissard
在单粒子模型中重新研究输运理论，包括通过唯象时间相关部分的耗散机制。使用非周期晶体的非交换几何描述，可以严格推导电导率的 Kubo 公式。在弛豫时间近似的框架内，对 Kubo 公式中输入的光谱测量应用分形分析，使我们能够检查由于量子干涉而导致的异常输运。这导致德鲁德公式出现异常。
Transport theory is reinvestigated in a one-particle model including dissipation mechanisms through a phenomenological time-dependent part. Using the description of an aperiodic crystal in terms of noncommutative geometry, it is then possible to rigorously derive Kubo formulas for the electric conductivity. Within the framework of the relaxation time approximation, a fractal analysis applied to the spectral measures entering in the Kubo formula allows us to examine anomalous transport owing to quantum interferences. This leads to anomalies in Drude's formula.