English

Solitons and Quasielectrons in the Quantum Hall Matrix Model

Strongly Correlated Electrons 2009-11-10 v1 High Energy Physics - Theory

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 ϕ4\phi^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.

Keywords

Cite

@article{arxiv.cond-mat/0406716,
  title  = {Solitons and Quasielectrons in the Quantum Hall Matrix Model},
  author = {T. H. Hansson and J. Kailasvuori and A. Karlhede and R. von Unge},
  journal= {arXiv preprint arXiv:cond-mat/0406716},
  year   = {2009}
}

Comments

15 pages, 9 figures