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arXiv · 1811.06643

Phenomenological approach to transport through three-terminal disordered wires

A. M. Martínez-Argüello·J. A. Méndez-Bermúdez·M. Martínez-Mares
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Abstract

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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A. M. Martínez-Argüello, J. A. Méndez-Bermúdez, M. Martínez-Mares. 2018-11-16. Phenomenological approach to transport through three-terminal disordered wires. https://doi.org/10.1103/physreve.99.062202

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