A local approach for global partial density of states

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.