Ballistic transport in graphene beyond linear response
Mesoscale and Nanoscale Physics
2015-05-14 v1
Abstract
The process of coherent creation of particle - hole excitations by an electric field in graphene is quantitatively described beyond linear response. We calculate the evolution of current density, number of pairs and energy in ballistic regime for electric field E using the tight binding model. While for small ballistic flight times the current is linear in E and independent of time, for larger ballistic times the current increases and finally at yet larger times Bloch oscillations set in. It is shown that the number of pairs follows the 2D generalization of the Schwinger's creation rate only on certain time segments with a prefactor different from that obtained using the asymptotic formula.
Cite
@article{arxiv.0909.2663,
title = {Ballistic transport in graphene beyond linear response},
author = {B. Rosenstein and M. Lewkowicz and H. C. Kao and Y. Korniyenko},
journal= {arXiv preprint arXiv:0909.2663},
year = {2015}
}
Comments
5 pages, 2 figures