Low-temperature conductance and DC current noise in a quantum wire with impurity

TL;DR

This paper provides an exact analysis of low-temperature conductance and current noise in a quantum wire with an impurity, revealing universal behaviors and duality between weak and strong backscattering regimes.

Contribution

It introduces an exact solution for nonlinear conductance and noise in a Luttinger liquid with impurity, highlighting universal T^2 enhancement factors.

Findings

Universal T^2 enhancement of conductance and noise at low temperatures

Duality between weak and strong backscattering regimes

Exact expressions relating zero temperature properties to finite temperature behavior

Abstract

The nonlinear conductance for tunneling through an impurity in a Luttinger liquid and the nonequilibrium DC current noise are calculated exactly for low temperatures. We present a pedestrian pathway towards the exact solution which is based on analytic properties and on a duality between weak and strong backscattering. The prefactor of the T^2 enhancement is shown to be universally expressed in terms of zero temperature properties.