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arXiv 1811.06643cond-mat.mes-hall
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三端无序导线输运的唯象方法

Phenomenological approach to transport through three-terminal disordered wires

A. M. Martínez-Argüello, J. A. Méndez-Bermúdez, M. Martínez-Mares

摘要:

我们研究了沿三端无序线在所有的运输制度,从弹道本地化制度的电压降。这是通过测量作为无序的函数的三端子设置中的一维无序线的一侧上的电压降来执行的。两种模型的障碍线被认为是:(i)一维安德森模型与对角无序和(ii)有限宽度的体无序波导。基于已知的$β$ -依赖的三端混沌的情况下,被$β$的戴森对称性指数($β=1$,2,和4的正交,酉,辛对称,分别)的电压降分布,分析扩展到一个连续的参数$β>0$,并使用相应的表达式作为一个唯象的一个达到无序相。我们表明,我们的建议包括所有的传输制度与$β$线性依赖于无序强度。

英文摘要:

We study the voltage drop along three-terminal disordered wires in all transport regimes, from the ballistic to the localized regime. This is performed by measuring the voltage drop on one side of a one-dimensional disordered wire in a three-terminal set-up as a function of disorder. Two models of disorder in the wire are considered: (i) the one-dimensional Anderson model with diagonal disorder and (ii) finite-width bulk-disordered waveguides. Based on the known $β$-dependence of the voltage drop distribution of the three-terminal chaotic case, being $β$ the Dyson symmetry index ($β=1$, 2, and 4 for orthogonal, unitary, and symplectic symmetries, respectively), the analysis is extended to a continuous parameter $β>0$ and use the corresponding expression as a phenomenological one to reach the disordered phase. We show that our proposal encompasses all the transport regimes with $β$ depending linearly on the disorder strength.

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