Phenomenological approach to transport through three-terminal disordered wires

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 $\beta$-dependence of the voltage drop distribution of the three-terminal chaotic case, being $\beta$ the Dyson symmetry index ($\beta =1$, 2, and 4 for orthogonal, unitary, and symplectic symmetries, respectively), the analysis is extended to a continuous parameter $\beta >0$ 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 $\beta$ depending linearly on the disorder strength.

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Cited by in corpus (4)

• Level Repulsion and Dynamics in the Finite One-Dimensional Anderson Model
• Experimental study of closed and open microwave waveguide graphs with preserved and partially violated time-reversal invariance
• Microwave graphs analogs for the voltage drop in three-terminal devices with orthogonal, unitary and symplectic symmetry
• Closed and open superconducting microwave waveguide networks as a model for quantum graphs