Frequency dependent admittance of a two-dimensional quantum wire

TL;DR

This paper calculates the frequency-dependent conductance of a 2D quantum wire using a current conserving approach, relating it to local partial density of states and confirming current conservation through global density of states analysis.

Contribution

It introduces a numerical method to compute the local partial density of states and explicitly confirms current conservation in frequency-dependent quantum conductance calculations.

Findings

Frequency-dependent conductance computed numerically.

Current conservation verified via global density of states.

Physical interpretation of partial density of states provided.

Abstract

The frequency dependent conductance of a two-dimensional quantum wire is computed using a current conserving formalism. The correction to the dc-conductance due to a time-dependent potential is related to the local partial density of states which we compute numerically. The current conservation is explicitly confirmed by computing the global density of states and comparing it with a quantity which is related to the electron dwell time. Our calculation clearly reveals the physical meaning of the various partial density of states.