Exact scattering eigenstates, many-body bound states, and nonequilibrium current of an open quantum dot system
Mesoscale and Nanoscale Physics
2015-05-13 v3 Statistical Mechanics
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We obtain an exact many-body scattering eigenstate in an open quantum dot system. The scattering state is not in the form of the Bethe eigenstate in the sense that the wave-number set of the incoming plane wave is not conserved during the scattering and many-body bound states appear. By using the scattering state, we study the average nonequilibrium current through the quantum dot under a finite bias voltage. The current-voltage characteristics that we obtained by taking the two-body bound state into account is qualitatively similar to several known results.
Keywords
Cite
@article{arxiv.0905.3443,
title = {Exact scattering eigenstates, many-body bound states, and nonequilibrium current of an open quantum dot system},
author = {Akinori Nishino and Takashi Imamura and Naomichi Hatano},
journal= {arXiv preprint arXiv:0905.3443},
year = {2015}
}
Comments
5 pages, 2 figures