Quantum hall conductivity in the presence of interactions

Xi Wu; Mikhail Zubkov

doi:10.3390/sym12020200

Quantum hall conductivity in the presence of interactions

Xi Wu
, Mikhail Zubkov

Department of Physics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Article number	200
Journal	Symmetry
Volume	12
Issue number	2
DOIs	https://doi.org/10.3390/sym12020200
State	Published - 1 Feb 2020

Keywords

Fractional quantum hall effect
Integer quantum hall effect
Inter-electron interactions

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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.",

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Quantum hall conductivity in the presence of interactions

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