Quantum phase transitions induced by the spin-orbit interaction in the N = 1 landau level

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Abstract

The effect of the spin-orbit interaction on the fractional quantum Hall states at filling factors ν = 7/3, 5/2, and 12/5 is studied by the exact diagonalization method and density-matrix renormalization group (DMRG) method. We calculate the excitation energy gap, ground-state pair-correlation functions, and the topological entanglement entropy to analyze the effect of the spin-orbit interaction. The obtained results show that, at ν = 7/3, the spin-orbit interaction destabilizes the parafermion state, leading to the phase transition to the Laughlin state. At ν = 5/2 the Pfaffian state is stabilized but the phase transition to the composite fermion liquid state finally occurs. At ν = 12/5, the parafermion ground state is destabilized and the phase transition to the Jain state occurs.

Original languageEnglish
Article number034713
Journaljournal of the physical society of japan
Volume81
Issue number3
DOIs
Publication statusPublished - 2012 Mar 1

Keywords

  • Density matrix
  • Fractional quantum hall effect
  • Moore-read-Pfaffian
  • Parafermion
  • Read-Rezayi
  • Renormalization group
  • Spin-orbit interaction
  • Two dimension

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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