Oscillatory non-linear conductance of an interacting quantum wire with an impurity

TL;DR

This paper investigates how electron-electron interactions and finite wire length cause oscillations in the nonlinear conductance of an interacting quantum wire with an impurity, revealing complex quantum transport phenomena.

Contribution

It demonstrates the impact of interactions and finite size on conductance oscillations in quantum wires with impurities, a novel insight into quantum transport behavior.

Findings

Oscillations in current as a function of voltage due to interactions and finite length.

Interaction effects modify the nonlinear conductance characteristics.

Finite wire length induces characteristic oscillatory behavior.

Abstract

The nonlinear conductance of a one-dimensional quantum wire adiabatically coupled to Fermi Liquid electron reservoirs is determined in presence of an impurity. We show that electron-electron interaction in connection with the finite length of the wire leads to characteristic oscillations in the current as a function of the applied voltage.