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Quantum Hall Effect

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Abstract

The gap equation for the electron self-energyfunction is considered in the framework of (2 +1)-dimensional quantum electrodynamics. The fillingfactor upsilon for the quantum Hall effect is related to a free parameter λ by considering thedevelopment of the gap equation. The latter is shown tobe expandable in the power series ofm2/p2, with p being the modulus ofthe momentum of a single Hall electron and m its physical mass.

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  1. A. Jellal
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Jellal, A. Quantum Hall Effect. International Journal of Theoretical Physics 37, 2187–2191 (1998). https://doi.org/10.1023/A:1026650221429

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  • DOI: https://doi.org/10.1023/A:1026650221429

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