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 language | English |
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Article number | 034713 |
Journal | journal of the physical society of japan |
Volume | 81 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2012 Mar |
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)