Hamiltonian theory of the fractional quantum Hall effect: Effect of Landau level mixing

G. Murthy, R. Shankar

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

We derive an effective Hamiltonian in the lowest Landau level (LLL) that incorporates the effects of Landau-level mixing to all higher Landau levels to leading order in the ratio of interaction energy to the cyclotron energy, κ=(e2/εl)/ωc. We then transcribe the Hamiltonian to the composite fermion basis using our Hamiltonian approach, and compute the effect of LL mixing on transport gaps.

Original languageEnglish
Article number245309
Pages (from-to)2453091-24530911
Number of pages22077821
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume65
Issue number24
DOIs
StatePublished - Jun 15 2002

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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