Dirac fermions in a power-law-correlated random vector potential

Abstract

We study localization properties of two-dimensional Dirac fermions subject to a power-law-correlated random vector potential describing, e.g., the effect of "ripples" in graphene. By using a variety of techniques (low-order perturbation theory, self-consistent Born approximation, replicas, and supersymmetry) we make a case for a possible complete localization of all the electronic states and compute the density of states.

Latex, 4+ pages

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Cited by in corpus (13)

• The electronic properties of graphene
• Properties of Graphene: A Theoretical Perspective
• Disorder and Electronic Transport in Graphene
• Two dimensional Dirac fermions in the presence of long-range correlated disorder
• Minimal conductivity of rippled graphene with topological disorder
• Disorder-driven splitting of the conductance peak at the Dirac point in graphene
• Effect of disorder on 2D topological merging transition from a Dirac semi-metal to a normal insulator
• A comprehensive study of electric, thermoelectric and thermal conductivities of Graphene with short range unitary and charged impurities
• Optical conductivity of graphene in the presence of random lattice deformations
• Narrow depression in the density of states at the Dirac point in disordered graphene
• Reckoning with the Mother of all non-Fermi liquids: alien bosonization vs predator holography
• Transport of Dirac electrons in a random magnetic field in topological heterostructures
• Random Magnetic Field and the Dirac Fermi Surface