Analytical study of non-linear transport across a semiconductor-metal junction
Abstract
In this paper we study analytically a one-dimensional model for a semiconductor-metal junction. We study the formation of Tamm states and how they evolve when the semi-infinite semiconductor and metal are coupled together. The non-linear current, as a function of the bias voltage, is studied using the non-equilibrium Green's function method and the density matrix of the interface is given. The electronic occupation of the sites defining the interface has strong non-linearities as function of the bias voltage due to strong resonances present in the Green's functions of the junction sites. The surface Green's function is computed analytically by solving a quadratic matrix equation, which does not require adding a small imaginary constant to the energy. The wave function for the surface states is given.
Keywords
Cite
@article{arxiv.1001.1608,
title = {Analytical study of non-linear transport across a semiconductor-metal junction},
author = {N. M. R. Peres},
journal= {arXiv preprint arXiv:1001.1608},
year = {2010}
}