Spin–Orbit Interaction Enhanced Fractional Quantum Hall States in the Second Landau Level
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概要
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We study the fractional quantum Hall effect at $\nu=7/3$ 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 $\nu=7/3$ and 5/2 in the second Landau level are calculated. We find that the spin–orbit interaction stabilizes the fractional quantum Hall states.
- 2010-07-15
著者
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Shibata Naokazu
Department Of Basic Science University Of Tokyo
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伊藤 透
東北大理
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Ito Toru
Department Of Biotechnology The University Of Tokyo
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Ito Toru
Department of Physics, Tohoku University, Sendai 980-8578, Japan
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Nomura Kentaro
Correlated Electron Research Group (CERG), RIKEN-ASI, Wako, Saitama 351-0198, Japan
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Shibata Naokazu
Department of Physics, Tohoku University, Aoba, Aoba-ku, Sendai 980-8578, Japan
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