An efficient method for computing the electronic transport properties of a multi-terminal system

TL;DR

This paper introduces an efficient recursive Green's function method for calculating electronic transport in multi-terminal mesoscopic systems, improving accuracy and performance over existing techniques.

Contribution

The authors develop an adaptive partition scheme that reduces multiprobe problems to a standard two-probe recursive Green's function approach, enabling efficient transport calculations.

Findings

Accurately computes longitudinal and Hall resistances in disordered graphene

Demonstrates superior performance and accuracy compared to existing methods

Applicable to complex multi-terminal mesoscopic systems

Abstract

We present a multiprobe recursive Green's function method to compute the transport properties of mesoscopic systems using the Landauer-B\"uttiker approach. By introducing an adaptive partition scheme, we map the multiprobe problem into the standard two-probe recursive Green's function method. We apply the method to compute the longitudinal and Hall resistances of a disordered graphene sample, a system of current interest. We show that the performance and accuracy of our method compares very well with other state-of-the-art schemes.