Localization and Kosterlitz-Thouless Transition in Disordered Graphene

Details Localization and Kosterlitz-Thouless Transition in Disordered Graphene Localization and Kosterlitz-Thouless Transition in Disordered Graphene

2008-10-11

arxiv.org/abs/0810.1996v1

Phys. Rev. Lett 102, 106401 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.102.106401

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.

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