Interaction-induced edge channel equilibration

Anders Mathias Lunde; Simon E. Nigg; Markus Buettiker

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Interaction-induced edge channel equilibration

机译：相互作用引起的边缘通道平衡

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摘要

The electronic distribution functions of two Coulomb-coupled chiral edge stales forming a quasi-one-dimensional system with broken translation invariance are found using the equation of motion approach. We find that relaxation and thereby energy exchange between the two edge states is determined by the shot noise of the edge states generated at a quantum point contact (QPC). In close vicinity to the QPC, we derive analytic expressions for the distribution functions. We further give an iterative procedure with which we can compute numerically the distribution functions arbitrarily far away from the QPC. Our results are compared with recent experiments.

机译：利用运动方程法求出了两个库仑耦合手性边沿的电子分布函数，形成了具有破碎平移不变性的准一维系统。我们发现，弛豫以及由此在两个边缘状态之间的能量交换由在量子点接触（QPC）处生成的边缘状态的散粒噪声确定。在QPC附近，我们导出了分布函数的解析表达式。我们进一步给出了一个迭代过程，利用该过程我们可以数值计算远离QPC的任意分布函数。我们的结果与最近的实验进行了比较。

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来源
《Physical review》 |2010年第4期|041311.1-041311.4|共4页
作者
Anders Mathias Lunde; Simon E. Nigg; Markus Buettiker;
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作者单位

Departement de Physique Theorique, Universite de Geneve, CH-1211 Geneve 4, Switzerland;

rnDepartement de Physique Theorique, Universite de Geneve, CH-1211 Geneve 4, Switzerland;

rnDepartement de Physique Theorique, Universite de Geneve, CH-1211 Geneve 4, Switzerland;

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正文语种 eng
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electronic transport in mesoscopic systems; theory and modeling; noise processes and phenomena;

机译：介观系统中的电子传输;理论与建模;噪声过程和现象;

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Interaction-induced edge channel equilibration

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