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

• Published in: Europhysics letters Vol. 82; no. 5
• Main Author: Khveshchenko, D. V.
• Format: Journal Article
• Language: English
• Published: EDP Sciences 01.06.2008
• Subjects: 71.10 Pm; 72.15 Rn; 73.20 Jc
• ISSN: 0295-5075; 1286-4854
• DOI: 10.1209/0295-5075/82/57008

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.