Spin-orbit interaction enhanced fractional quantum Hall states in the second Landau level

Toru Ito; Kentaro Nomura; Naokazu Shibata

doi:10.1143/JPSJ.79.073003

Spin-orbit interaction enhanced fractional quantum Hall states in the second Landau level

Toru Ito, Kentaro Nomura, Naokazu Shibata

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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
Article number	073003
Journal	journal of the physical society of japan
Volume	79
Issue number	7
DOIs	https://doi.org/10.1143/JPSJ.79.073003
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)

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10.1143/JPSJ.79.073003

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title = "Spin-orbit interaction enhanced fractional quantum Hall states in the second Landau level",

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.",

keywords = "Density matrix, Fractional quantum Hall effect, Moore-Read-Pfaffian, Renormalization group, Spin-orbit interaction, Two-dimensional",

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T1 - Spin-orbit interaction enhanced fractional quantum Hall states in the second Landau level

AU - Ito, Toru

AU - Nomura, Kentaro

AU - Shibata, Naokazu

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N2 - 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.

AB - 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.

KW - Density matrix

KW - Fractional quantum Hall effect

KW - Moore-Read-Pfaffian

KW - Renormalization group

KW - Spin-orbit interaction

KW - Two-dimensional

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JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

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Spin-orbit interaction enhanced fractional quantum Hall states in the second Landau level

Abstract

Keywords

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