Weakly nonlinear quantum transport: an exactly solvable model
Abstract
We have studied the weakly non-linear quantum transport properties of a two-dimensional quantum wire which can be solved exactly. The non-linear transport coefficients have been calculated and interesting physical properties revealed. In particular we found that as the incoming electron energy approaches a resonant point given by energy , where the transport is characterized by a complete reflection, the second order non-linear conductance changes its sign. This has interesting implications to the current-voltage characteristics. We have also investigated the establishment of the gauge invariance condition. We found that for systems with a finite scattering region, correction terms to the theoretical formalism are needed to preserve the gauge invariance. These corrections were derived analytically for this model.
Cite
@article{arxiv.cond-mat/9610180,
title = {Weakly nonlinear quantum transport: an exactly solvable model},
author = {Jian Wang and Qingrong Zheng and Hong Guo},
journal= {arXiv preprint arXiv:cond-mat/9610180},
year = {2009}
}
Comments
15 pages, LaTeX, submitted to Phys. Rev. B