Prediction of a Non-Abelian Fractional Quantum Hall State with f -Wave Pairing of Composite Fermions in Wide Quantum Wells

W. N. Faugno, Ajit C. Balram, Maissam Barkeshli, J. K. Jain

Research output: Contribution to journalArticle

Abstract

We theoretically investigate the nature of the state at the quarter filled lowest Landau level and predict that, as the quantum well width is increased, a transition occurs from the composite fermion Fermi sea into a novel non-Abelian fractional quantum Hall state that is topologically equivalent to f-wave pairing of composite fermions. This state is topologically distinct from the familiar p-wave paired Pfaffian state. We compare our calculated phase diagram with experiments and make predictions for many observable quantities.

Original languageEnglish (US)
Article number016802
JournalPhysical Review Letters
Volume123
Issue number1
DOIs
StatePublished - Jul 2 2019

Fingerprint

fermions
quantum wells
composite materials
predictions
phase diagrams

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

@article{2a311001d17a486f8ec58acfa237c46a,
title = "Prediction of a Non-Abelian Fractional Quantum Hall State with f -Wave Pairing of Composite Fermions in Wide Quantum Wells",
abstract = "We theoretically investigate the nature of the state at the quarter filled lowest Landau level and predict that, as the quantum well width is increased, a transition occurs from the composite fermion Fermi sea into a novel non-Abelian fractional quantum Hall state that is topologically equivalent to f-wave pairing of composite fermions. This state is topologically distinct from the familiar p-wave paired Pfaffian state. We compare our calculated phase diagram with experiments and make predictions for many observable quantities.",
author = "Faugno, {W. N.} and Balram, {Ajit C.} and Maissam Barkeshli and Jain, {J. K.}",
year = "2019",
month = "7",
day = "2",
doi = "10.1103/PhysRevLett.123.016802",
language = "English (US)",
volume = "123",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "1",

}

Prediction of a Non-Abelian Fractional Quantum Hall State with f -Wave Pairing of Composite Fermions in Wide Quantum Wells. / Faugno, W. N.; Balram, Ajit C.; Barkeshli, Maissam; Jain, J. K.

In: Physical Review Letters, Vol. 123, No. 1, 016802, 02.07.2019.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Prediction of a Non-Abelian Fractional Quantum Hall State with f -Wave Pairing of Composite Fermions in Wide Quantum Wells

AU - Faugno, W. N.

AU - Balram, Ajit C.

AU - Barkeshli, Maissam

AU - Jain, J. K.

PY - 2019/7/2

Y1 - 2019/7/2

N2 - We theoretically investigate the nature of the state at the quarter filled lowest Landau level and predict that, as the quantum well width is increased, a transition occurs from the composite fermion Fermi sea into a novel non-Abelian fractional quantum Hall state that is topologically equivalent to f-wave pairing of composite fermions. This state is topologically distinct from the familiar p-wave paired Pfaffian state. We compare our calculated phase diagram with experiments and make predictions for many observable quantities.

AB - We theoretically investigate the nature of the state at the quarter filled lowest Landau level and predict that, as the quantum well width is increased, a transition occurs from the composite fermion Fermi sea into a novel non-Abelian fractional quantum Hall state that is topologically equivalent to f-wave pairing of composite fermions. This state is topologically distinct from the familiar p-wave paired Pfaffian state. We compare our calculated phase diagram with experiments and make predictions for many observable quantities.

UR - http://www.scopus.com/inward/record.url?scp=85068983231&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85068983231&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.123.016802

DO - 10.1103/PhysRevLett.123.016802

M3 - Article

C2 - 31386406

AN - SCOPUS:85068983231

VL - 123

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 1

M1 - 016802

ER -