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

2010/07/05 by Jongbae Hong, Hong, Jongbae
Engineering · Physics and Astronomy · #Electrical and Bioimpedance Tomography #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.1007.0615

12 pages, 1 figure

openalex publication_date 2010/07/05 · arxiv created 2010/12/31 · arxiv updated 2011/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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× 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.

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