Green's function technique for a two-electrode mesoscopic system under bias

TL;DR

This paper develops a Green's function approach to analyze nonlinear conductance in a two-electrode mesoscopic system under bias, providing a matrix formulation for the Anderson model and a self-consistent method for calculations.

Contribution

It introduces a novel Green's function technique with a matrix formulation for the Anderson model under bias, including a self-consistent method for undetermined quantities.

Findings

Matrix formulation of Green's function for biased two-electrode system

Self-consistent method to determine Green's function elements

Application to nonlinear conductance analysis

Abstract

We present a Green's function technique for studying the nonlinear conductance of a nanocontact system with two electrodes at different chemical potentials. The retarded Green's function for a single-impurity Anderson model with two reservoirs is obtained in terms of a $5\times 5$ matrix in which the effect of bias is contained. A complete set of basis vectors for the single-impurity Anderson model has been provided before formulating the Green's function. Finally, we present a self-consistent method to fix the undetermined quantities existing in the matrix elements for the retarded Green's function.