Perturbative Evidence of Non-Universality in the Quantized Hall Conductivity of a Disordered Relativistic 2D Electron Gas

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

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ReVTeX, 7 pages, 1 ps figure. To appear in Mod. Phys. Lett. B. The last reference was corrected

Scientific paper

We study a relativistic two-dimensional electron gas in the presence of a
uniform external magnetic field and a random static scalar potential. We
compute, in first order perturbation theory, the averages of the charge density
and of the transverse conductivity for a white-noise potential, and show that,
within this treatment, their quantized values are modified by the disorder.

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