Low Frequency Quantum Transport in a Three-probe Mesoscopic Conductor

TL;DR

This paper investigates low frequency quantum transport in a three-probe mesoscopic conductor using B"uttiker's formalism, focusing on how finite size effects influence the density of states and transport properties.

Contribution

It introduces a detailed analysis of finite size effects on the density of states and transport coefficients in mesoscopic conductors using explicit partial density of states calculations.

Findings

Finite size effects impact the agreement of total DOS calculations.

Increasing scattering volume improves the match between external and local DOS.

A fitting form for finite size effects is proposed.

Abstract

The low frequency quantum transport properties of a three-probe mesoscopic conductor are studied using B\"uttiker's AC transport formalism. The static transmission coefficients and emittance matrix of the system were computed by explicitly evaluating the various partial density of states (PDOS). We have investigated the finite size effect of the scattering volume on the global PDOS. By increasing the scattering volume we observed a gradual improvement in the agreement of the total DOS as computed externally or locally. Our numerical data permits a particular fitting form of the finite size effect.