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 language | English |
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Article number | 073003 |
Journal | journal of the physical society of japan |
Volume | 79 |
Issue number | 7 |
DOIs | |
Publication status | Published - 2010 Jul |
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)