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arXiv · 1005.1446

Spin-Orbit Interaction Enhanced Fractional Quantum Hall States in the Second Landau Level

T. Ito·K. Nomura·N. Shibata
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Abstract

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

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T. Ito, K. Nomura, N. Shibata. 2010-05-10. Spin-Orbit Interaction Enhanced Fractional Quantum Hall States in the Second Landau Level. https://doi.org/10.1143/jpsj.79.073003

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