Dirac fermions in a power-lawcorrelated random vector potentialD. V. Khveshchenko
Department of Physics and Astronomy, University of North Carolina - Chapel Hill, NC 27599, USA
received 26 January 2008; accepted in final form 21 April 2008; published June 2008
published online 27 May 2008
We study localization properties of two-dimensional Dirac fermions subject to a power-lawcorrelated random vector potential describing, e.g., the effect of "ripples" in a free standing graphene. By using a variety of techniques (low-order perturbation theory, self-consistent Born approximation, replicas, and supersymmetry) we compute the low-energy density of states and discuss a possible (pre)localization of the entire single-particle spectrum.
71.10 Pm - Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.).
72.15 Rn - Localization effects (Anderson or weak localization).
73.20 Jc - Delocalization processes.
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