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Open AccessFeature PaperArticle

Quantum Hall Conductivity in the Presence of Interactions

by Xi Wu 1 and Mikhail Zubkov 1,2,*
1
Physics Department, Ariel University, Ariel 40700, Israel
2
on leave of absence from NRC “Kurchatov Institute”—ITEP, B. Cheremushkinskaya 25, Moscow 117259, Russia
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(2), 200; https://doi.org/10.3390/sym12020200
Received: 1 January 2020 / Revised: 15 January 2020 / Accepted: 18 January 2020 / Published: 1 February 2020
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 Integer Quantum Hall Effect; Fractional Quantum Hall Effect; inter-electron interactions
MDPI and ACS Style

Wu, X.; Zubkov, M. Quantum Hall Conductivity in the Presence of Interactions. Symmetry 2020, 12, 200.

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