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arXiv 1104.2878cond-mat.stat-mechcond-mat.mes-hall
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非平衡定态手征系统的涨落耗散定理

Fluctuation-dissipation theorem for chiral systems in non-equilibrium steady states

Chenjie Wang, D. E. Feldman

摘要:

我们考虑了一个三端系统与手性边缘通道连接的源极和漏极终端。电荷可以在手性边缘和第三终端之间隧穿。第三端子保持在与源极和漏极不同的温度和电压下。我们证明了一个一般的关系,在漏极和第三端子检测到的电流噪声。它具有与平衡涨落耗散关系相同的结构,用非线性响应代替线性电导。结果适用于一般的手征系统,可以用于检测量子霍尔边缘的“上游”模式。

英文摘要:

We consider a three-terminal system with a chiral edge channel connecting the source and drain terminals. Charge can tunnel between the chiral edge and a third terminal. The third terminal is maintained at a different temperature and voltage than the source and drain. We prove a general relation for the current noises detected in the drain and third terminal. It has the same structure as an equilibrium fluctuation-dissipation relation with the nonlinear response in place of the linear conductance. The result applies to a general chiral system and can be useful for detecting "upstream" modes on quantum Hall edges.

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