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

Jongbae Hong

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arXiv · 1007.0615

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

Jongbae Hong

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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.

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Jongbae Hong. 2010-12-31. Green's function technique for a two-electrode mesoscopic system under bias. https://arxiv.org/abs/1007.0615

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