Spin-orbit interaction enhanced fractional quantum Hall states in the second Landau level

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4 Citations (Scopus)

Abstract

We study the fractional quantum Hall effect at ν = 7/3 and 5/2 in the presence of the spin-orbit interaction, using the exact diagonalization method and density matrix renormalization group (DMRG) method in a spherical geometry. Trial wave functions at these fillings are the Laughlin state and Moore-Reed-Pfaffian state. The ground-state excitation energy gaps and pair-correlation functions at fractional filling factors ν = 7/3 and 5/2 in the second Landau level are calculated. We find that the spin-orbit interaction stabilizes the fractional quantum Hall states.

Original languageEnglish
Article number073003
Journaljournal of the physical society of japan
Volume79
Issue number7
DOIs
Publication statusPublished - 2010 Jul 1

Keywords

  • Density matrix
  • Fractional quantum Hall effect
  • Moore-Read-Pfaffian
  • Renormalization group
  • Spin-orbit interaction
  • Two-dimensional

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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