DMRG study of fractional quantum Hall effect and valley skyrmions in graphene

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Abstract

The ground state and low-energy excitations of graphene and its bilayer are investigated by the density matrix renormalization group (DMRG) method. We analyze the effect of Coulomb interaction between the electrons including valley degrees of freedoms. The obtained results show finite charge excitation gap at various fractional fillings νn = 1/3, 2/5, 2/3 in the n = 0 and 1 Landau levels of single-layer graphene (SLG) and n = 2 Landau level of bilayer graphene (BLG). The lowest charge excitations at ν = 1/3, and 1 in SLG are valley skyrmions.

Original languageEnglish
Article number012003
JournalJournal of Physics: Conference Series
Volume334
Issue number1
DOIs
Publication statusPublished - 2011 Jan 1
Event19th International Conference on the Application of High Magnetic Fields in Semiconductor Physics and Nanotechnology, HMF-19 - Fukuoka, Japan
Duration: 2010 Aug 12010 Aug 6

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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