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

被引：5

作者：

Ito, Toru ^{[1
]}

Nomura, Kentaro ^{[2
]}

Shibata, Naokazu ^{[1
]}

机构：

[1] Tohoku Univ, Dept Phys, Aoba Ku, Sendai, Miyagi 9808578, Japan

[2] RIKEN, ASI, CERG, Wako, Saitama 3510198, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2010年 / 79卷 / 07期

关键词：

fractional quantum Hall effect; spin-orbit interaction; Moore-Read-Pfaffian; two-dimensional; density matrix; renormalization group; HIERARCHY; FLUID;

D O I：

10.1143/JPSJ.79.073003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the fractional quantum Hall effect at v = 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 v = 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.

引用

页数：4

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