SU(4) composite fermions in graphene

Fractional quantum Hall states without analog in GaAs

Csaba Toke, Jainendra K. Jain

Research output: Contribution to journalArticle

55 Citations (Scopus)

Abstract

Theoretical studies of the fractional quantum Hall effect (FQHE) in graphene have so far focused on the plausibility and stability of the previously known FQHE states for the interaction matrix elements appropriate for graphene. We consider FQHE for SU(4) symmetry, as appropriate for the situation when all four spin and valley Landau bands are degenerate, and predict FQHE states that have no analog in GaAs. These result from an essential interplay between the twofold spin and valley degeneracies at fractions of the form ν=n (2pn±1), for n≥3. Conditions are outlined for the observation of these states and quantum phase transitions between them; the structure of these states and their excitations is also described.

Original languageEnglish (US)
Article number245440
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume75
Issue number24
DOIs
StatePublished - Jun 29 2007

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Quantum Hall effect
Graphite
Fermions
quantum Hall effect
Graphene
graphene
fermions
analogs
composite materials
Composite materials
valleys
Phase transitions
gallium arsenide
symmetry
matrices
excitation
interactions

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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