Bipartite composite fermion states

G. J. Sreejith, C. Toke, A. Wójs, Jainendra K. Jain

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Article number086806
JournalPhysical Review Letters
Volume107
Issue number8
DOIs
StatePublished - Aug 17 2011

Fingerprint

fermions
composite materials
partitions
wave functions
ground state
approximation
magnetic fields
electrons
interactions

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Sreejith, G. J. ; Toke, C. ; Wójs, A. ; Jain, Jainendra K. / Bipartite composite fermion states. In: Physical Review Letters. 2011 ; Vol. 107, No. 8.
@article{778ec96214ac4dd89ee307f1c095caee,
title = "Bipartite composite fermion states",
abstract = "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.",
author = "Sreejith, {G. J.} and C. Toke and A. W{\'o}js and Jain, {Jainendra K.}",
year = "2011",
month = "8",
day = "17",
doi = "10.1103/PhysRevLett.107.086806",
language = "English (US)",
volume = "107",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "8",

}

Bipartite composite fermion states. / Sreejith, G. J.; Toke, C.; Wójs, A.; Jain, Jainendra K.

In: Physical Review Letters, Vol. 107, No. 8, 086806, 17.08.2011.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Bipartite composite fermion states

AU - Sreejith, G. J.

AU - Toke, C.

AU - Wójs, A.

AU - Jain, Jainendra K.

PY - 2011/8/17

Y1 - 2011/8/17

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84857936889&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84857936889&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.107.086806

DO - 10.1103/PhysRevLett.107.086806

M3 - Article

AN - SCOPUS:84857936889

VL - 107

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 8

M1 - 086806

ER -