QED$_{2+1}$ with Nonzero Fermion Density and Quantum Hall Effect

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, LaTeX; FIAN/TD/94-09

Scientific paper

10.1016/0370-2693(95)00488-7

A general expression for the conductivity in the QED$_{2+1}$ with nonzero
fermion density in the uniform magnetic field is derived. It is shown that the
conductivity is entirely determined by the Chern-Simons coefficient:
$\sigma_{ij}=\varepsilon_{ij}~{\cal C}$ and is a step-function of the chemical
potential and the magnetic field.

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