Charge current and phase diagram of the disordered open longer-range Kitaev chain

TL;DR

This paper investigates how disorder affects the charge transport and phase diagram of a disordered longer-range Kitaev chain, revealing the interplay between topology and disorder through analytical and numerical methods.

Contribution

It introduces a combined analytical and numerical approach to map the phase diagram of disordered topological chains, applicable to various disordered topological systems.

Findings

Disorder influences the dc conductance in the non-equilibrium steady state.

The phase diagram varies with disorder strength and type.

Topological properties are affected by the interplay with disorder.

Abstract

We compute the disorder averaged dc conductance in the non-equilibrium steady state that sets in between a longer-range Kitaev chain and a metallic lead connected to an external reservoir, as a function of the system parameters and of the disorder strength. From our results, we map out the phase diagram of the disordered chain for different types of disorder and discuss the corresponding effects of the interplay between topology and disorder in the system. To do so, we set up a combined analytical and numerical approach, which is potentially amenable of straightforward generalizations to other disordered topological systems.