Localization and Kosterlitz-Thouless Transition in Disordered Graphene
Disordered Systems and Neural Networks
2009-11-13 v1
Abstract
We investigate disordered graphene with strong long-range impurities. Contrary to the common belief that delocalization should persist in such a system against any disorder, as the system is ex-pected to be equivalent to a disordered two-dimensional Dirac Fermionic system, we find that states near the Dirac points are localized for sufficiently strong disorder and the transition between the localized and delocalized states is of Kosterlitz-Thouless type. Our results show that the transition originates from bounding and unbounding of local current vortices.
Cite
@article{arxiv.0810.1996,
title = {Localization and Kosterlitz-Thouless Transition in Disordered Graphene},
author = {Yan-Yang Zhang and Jiangping Hu and B. A. Bernevig and X. R. Wang and X. C Xie and W. M Liu},
journal= {arXiv preprint arXiv:0810.1996},
year = {2009}
}
Comments
5 pages, 4 figures