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.
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页数：4
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