Volume 82, Number 5, June 2008
Article Number 57008
Number of page(s) 5
Section Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties
Published online 27 May 2008
EPL, 82 (2008) 57008
DOI: 10.1209/0295-5075/82/57008

Dirac fermions in a power-law$\hbox{--} $correlated random vector potential

D. 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-law$\hbox{--} $correlated 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.

© EPLA 2008