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

Abstract

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: ${\sigma }_{ij}={\epsilon }_{ij}\mathcal{C}$ and is a step-function of the chemical potential and the magnetic field.

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

References in corpus (2)

• Spontaneously Broken Lorentz Invariance in Three-Dimensional Gauge Theories
• A Note on QED with Magnetic Field and Chemical Potentia

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