Bipartite Composite Fermion States

被引：36

作者：

Sreejith, G. J. ^{[1
]}

Toke, C. ^{[2
]}

Wojs, A. ^{[3
]}

Jain, J. K. ^{[1
]}

机构：

[1] Penn State Univ, Dept Phys, University Pk, PA 16802 USA

[2] Univ Pecs, Inst Phys, H-7624 Pecs, Hungary

[3] Wroclaw Univ Technol, Inst Phys, PL-50370 Wroclaw, Poland

来源：

PHYSICAL REVIEW LETTERS | 2011年 / 107卷 / 08期

关键词：

QUANTUM HALL STATES; 2ND LANDAU-LEVEL; INCOMPRESSIBLE STATES; MODES;

D O I：

10.1103/PhysRevLett.107.086806

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a class of ansatz wave functions in which composite fermions form two correlated "partitions." These "bipartite" composite fermion states are demonstrated to be very accurate for electrons in a strong magnetic field interacting via a short-range 3-body interaction potential over a broad range of filling factors. Furthermore, this approach gives accurate approximations for the exact Coulomb ground state at 2 + 3/5 and 2 + 4/7 and is thus a promising candidate for the observed fractional quantum Hall states at the hole conjugate fractions at 2 + 2/5 and 2 + 3/7.

引用

页数：5

共 35 条

[1] Clustering Properties and Model Wave Functions for Non-Abelian Fractional Quantum Hall Quasielectrons [J].

Bernevig, B. Andrei ;

Haldane, F. D. M. .

PHYSICAL REVIEW LETTERS, 2009, 102 (06)

[2] Effect of Landau level mixing on the effective interaction between electrons in the fractional quantum Hall regime [J].

Bishara, Waheb ;

Nayak, Chetan .

PHYSICAL REVIEW B, 2009, 80 (12)

[3]

BONDERSON P, ARXIV09014965

[4] Fractional quantum Hall hierarchy and the second Landau level [J].

Bonderson, Parsa ;

Slingerland, J. K. .

PHYSICAL REVIEW B, 2008, 78 (12)

[5] Composite fermionization of bosons in rapidly rotating atomic traps [J].

Chang, CC ;

Regnault, N ;

Jolicoeur, T ;

Jain, JK .

PHYSICAL REVIEW A, 2005, 72 (01)

[6] Activation gaps of fractional quantum Hall effect in the second Landau level [J].

Choi, H. C. ;

Kang, W. ;

Das Sarma, S. ;

Pfeiffer, L. N. ;

West, K. W. .

PHYSICAL REVIEW B, 2008, 77 (08)

[7] PAIRED HALL STATES [J].

GREITER, M ;

WEN, XG ;

WILCZEK, F .

NUCLEAR PHYSICS B, 1992, 374 (03) :567-614

[8] PAIRED HALL STATE AT HALF FILLING [J].

GREITER, M ;

WEN, XG ;

WILCZEK, F .

PHYSICAL REVIEW LETTERS, 1991, 66 (24) :3205-3208

[9]

HALPERIN BI, 1983, HELV PHYS ACTA, V56, P75

[10] Quantum Hall quasielectron operators in conformal field theory [J].

Hansson, T. H. ;

Hermanns, M. ;

Viefers, S. .

PHYSICAL REVIEW B, 2009, 80 (16)

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