A local approach for global partial density of states

TL;DR

This paper introduces a local formula for the global partial density of states in quantum conductors, improving accuracy for finite scattering volumes and enabling better analysis of AC transport properties.

Contribution

A novel local formula for the global partial density of states that is accurate for finite scattering volumes and applicable to various quantum transport scenarios.

Findings

The local formula improves GPDOS calculation accuracy.

Application to a 2D quantum wire demonstrates practical utility.

Enhanced understanding of emittance in quantum conductors.

Abstract

To apply the scattering approach for the problem of AC transport through coherent quantum conductors, various partial density of states must be evaluated. If the global partial density of states (GPDOS) is calculated externally using the energy derivatives of the scattering matrix, the results are not precise unless the conductor has a large scattering volume. We propose a local formula for GPDOS which is suitable for any finite scattering volume. We apply this formula to compute the emittance of a two-dimensional quantum wire under the multi-mode and finite temperature condition.