Effect of Landau level mixing on the effective interaction between electrons in the fractional quantum Hall regime

被引:114
作者
Bishara, Waheb [1 ]
Nayak, Chetan [2 ,3 ]
机构
[1] CALTECH, Dept Phys, Pasadena, CA 91125 USA
[2] Univ Calif Santa Barbara, Stn Q, Santa Barbara, CA 93106 USA
[3] Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
来源
PHYSICAL REVIEW B | 2009年 / 80卷 / 12期
关键词
STATE PHASE-DIAGRAM; MAGNETIC-FIELD; GROUND-STATE; RENORMALIZATION-GROUP; 2D ELECTRONS; QUANTIZATION; EXCITATIONS; LIQUID; FLUID;
D O I
10.1103/PhysRevB.80.121302
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We compute the effect of Landau-level mixing on the effective two-body and three-body pseudopotentials for electrons in the lowest and second Landau levels. We find that the resulting effective three-body interaction is attractive in the lowest relative angular momentum channel. The renormalization of the two-body pseudopotentials also shows interesting structure. We comment on the implications for the v = 5/2 fractional quantum Hall state.
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页数:4
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共 30 条
[1]   2-DIMENSIONAL ELECTRON LIQUID IN A WEAK MAGNETIC-FIELD [J].
ALEINER, IL ;
GLAZMAN, LI .
PHYSICAL REVIEW B, 1995, 52 (15) :11296-11312
[2]  
BISHARA W, UNPUB
[3]   Insulating and fractional quantum Hall states in the first excited Landau level [J].
Eisenstein, JP ;
Cooper, KB ;
Pfeiffer, LN ;
West, KW .
PHYSICAL REVIEW LETTERS, 2002, 88 (07) :768011-768014
[4]   Density matrix renormalization group study of incompressible fractional quantum Hall states [J].
Feiguin, A. E. ;
Rezayi, E. ;
Nayak, C. ;
Das Sarma, S. .
PHYSICAL REVIEW LETTERS, 2008, 100 (16)
[5]   Spin polarization of the ν=5/2 quantum Hall state [J].
Feiguin, A. E. ;
Rezayi, E. ;
Yang, Kun ;
Nayak, C. ;
Das Sarma, S. .
PHYSICAL REVIEW B, 2009, 79 (11)
[6]   PAIRED HALL STATES [J].
GREITER, M ;
WEN, XG ;
WILCZEK, F .
NUCLEAR PHYSICS B, 1992, 374 (03) :567-614
[7]   FINITE-SIZE STUDIES OF THE INCOMPRESSIBLE STATE OF THE FRACTIONALLY QUANTIZED HALL-EFFECT AND ITS EXCITATIONS [J].
HALDANE, FDM ;
REZAYI, EH .
PHYSICAL REVIEW LETTERS, 1985, 54 (03) :237-240
[9]   QUANTIZED MOTION OF 3 TWO-DIMENSIONAL ELECTRONS IN A STRONG MAGNETIC-FIELD [J].
LAUGHLIN, RB .
PHYSICAL REVIEW B, 1983, 27 (06) :3383-3389