Conductance in a periodically doped quantum wire

TL;DR

This paper investigates how periodic impurities in a quantum wire affect its conductance, revealing a transition from a staircase pattern to a band-structure-dependent conductance as impurity number increases.

Contribution

It introduces a Green-function approach to analyze conductance in mesoscopic wires with periodically arranged impurities, extending beyond the clean system case.

Findings

Increasing impurities cause conductance structure transition

Conductance becomes dependent on band structure with impurities

Green-function method effectively models impurity effects

Abstract

In this paper we will give a short rewiew about the conductance of a mesoscopic waveguide strip with a few impurities. Green-function method is used allowing to treat systems with low number of impurities, not only the completly clean case. Investigating a wire containing Dirac-delta potentials (modelling the impurities) we found that increasing number of impurities can cause a transition of the structure of conductance. The staircase like structure of the clean system vanishes and the conductance of a system containing finite number of impurities located periodically will be determined by the band structure of