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Solitons and Quasielectrons in the Quantum Hall Matrix Model

T. H. Hansson·J. Kailasvuori·A. Karlhede·R. von Unge
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Abstract

We show how to incorporate fractionally charged quasielectrons in the finite quantum Hall matrix model.The quasielectrons emerge as combinations of BPS solitons and quasiholes in a finite matrix version of the noncommutative $ϕ^4$ theory coupled to a noncommutative Chern-Simons gauge field. We also discuss how to properly define the charge density in the classical matrix model, and calculate density profiles for droplets, quasiholes and quasielectrons.

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T. H. Hansson, J. Kailasvuori, A. Karlhede, R. von Unge. 2004-06-29. Solitons and Quasielectrons in the Quantum Hall Matrix Model. https://doi.org/10.1103/physrevb.72.205317

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