Transport in a nearly periodic potential with a magnetic field

A two-dimensional gas of non-interacting quasiparticles in a nearly periodic potential and a perpendicular magnetic field is studied. The potential is a superposition of a periodic potential, induced, for example, by a charge-density wave or a vortex lattice of a type-II superconductor, and a weak random potential due to impurities. Approximating this model by Dirac fermions with random mass, random energy, and random vector potential, we evaluate the density of states and the Hall conductivity using a self-consistent approximation. We obtain a singular average density of states , where decreases with the strength of the randomness. The Hall conductivity has a plateau which is destroyed for strong tunnelling through the saddle points of the nearly periodic potential.

• Publication year

  1998

• Venue

  Journal of Physics: Condensed Matter

• Publication date

  1998-06-24

• Fields of study

  Physics

• Identifiers
  DOI 10.1088/0953-8984/10/30/014arXiv cond-mat/9806283
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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