Multifloquet to single electronic channel transition in the transport properties of a resistive 1D driven disordered ring

TL;DR

This paper explores the transition from multifloquet to single-channel transport in a disordered 1D ring driven by a time-dependent magnetic flux, revealing how coupling to a reservoir influences conductance regimes.

Contribution

It introduces the concept of a crossover length L_c that marks the transition between multifloquet and single-channel transport regimes in a disordered ring.

Findings

In the localized regime, conductance distribution matches that of a 1D wire in Landauer setup.

The multifloquet regime exhibits large currents with conductance g_{dc} > 1 despite single transmission channel.

The crossover length L_c depends on the coupling strength to the reservoir.

Abstract

We investigate the dc response of a 1D disordered ring coupled to a reservoir and driven by a magnetic flux with a linear dependence on time. We identify two regimes: (i) A localized or large length L regime, characterized by a dc conductance, g_{dc}, whose probability distribution P(g_{dc}) is identical to the one exhibited by a 1D wire of the same length L and disorder strength placed in a Landauer setup. (ii) A "multifloquet" regime for small L and weak coupling to the reservoir, which exhibits large currents and conductances that can be g_{dc} > 1, in spite of the fact that the ring contains a single electronic transmission channel. The crossover length between the multifloquet to the single channel transport regime, L_c, is controlled by the coupling to the reservoir.