Quantum Hall Conductivity in the Presence of Interactions

Abstract

We discuss quantum Hall effect in the presence of arbitrary pair interactions between electrons. It is shown that, irrespective of the interaction strength, the Hall conductivity is given by the filling fraction of Landau levels averaged over the ground state of the system. This conclusion remains valid for both the integer and fractional quantum Hall effect.

Keywords

• integer quantum hall effect
• fractional quantum hall effect
• inter-electron interactions