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arXiv 1709.07950cond-mat.mes-hall
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电子输运中的非平衡分布函数:退相干、能量再分配和耗散

Nonequilibrium distribution functions in electron transport: Decoherence, energy redistribution and dissipation

Thomas Stegmann, Orsolya Ujsághy, Dietrich E. Wolf

摘要:

介绍了一个新的统计模型,该模型考虑了退相干、能量重新分配和耗散对大量子系统中电子输运的综合影响。其基本思想是考虑电子相位信息仅在随机选择的区域丢失,其平均距离对应于退相干长度。在这些区域中,电子的能量可以保持不变,或者在电子系统内重新分配,或者消散到热浴中。不同类型的散射和退相干在能量分布函数中留下不同的指纹。它们可以被解释为非热化电子和热化电子的混合物。在弱退相干的情况下,热化电子的分数显示出电和热接触电阻。在非相干输运的制度,所提出的模型是等效的玻尔兹曼方程。该模型被应用到碳纳米管的实验。该模型与实验数据的良好协议允许确定系统的散射长度。

英文摘要:

A new statistical model for the combined effects of decoherence, energy redistribution and dissipation on electron transport in large quantum systems is introduced. The essential idea is to consider the electron phase information to be lost only at randomly chosen regions with an average distance corresponding to the decoherence length. In these regions the electron's energy can be unchanged or redistributed within the electron system or dissipated to a heat bath. The different types of scattering and the decoherence leave distinct fingerprints in the energy distribution functions. They can be interpreted as a mixture of unthermalized and thermalized electrons. In the case of weak decoherence, the fraction of thermalized electrons show electrical and thermal contact resistances. In the regime of incoherent transport the proposed model is equivalent to a Boltzmann equation. The model is applied to experiments with carbon nanotubes. The excellent agreement of the model with the experimental data allows to determine the scattering lengths of the system.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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