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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 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.

Authors:
 [1];  [2];  [3]; ORCiD logo [1]
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  1. Pennsylvania State Univ., University Park, PA (United States)
  2. Univ. of Copenhagen (Denmark). The Niels Bohr Inst.
  3. Univ. of Maryland, College Park, MD (United States). Condensed Matter Theory Center and Joint Quantum Inst., Dept. of Physics
Publication Date:
Research Org.:
Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); European Union (EU); National Science Foundation (NSF); Alfred P. Sloan Foundation
OSTI Identifier:
1606392
Alternate Identifier(s):
OSTI ID: 1546458
Grant/Contract Number:  
SC0005042
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 123; Journal Issue: 1; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; topological superconductivity; composite fermions; fractional quantum Hall effect

Citation Formats

Faugno, W. N., Balram, Ajit C., Barkeshli, Maissam, and Jain, J. K. Prediction of a Non-Abelian Fractional Quantum Hall State with f -Wave Pairing of Composite Fermions in Wide Quantum Wells. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.123.016802.
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Faugno, W. N., Balram, Ajit C., Barkeshli, Maissam, & Jain, J. K. Prediction of a Non-Abelian Fractional Quantum Hall State with f -Wave Pairing of Composite Fermions in Wide Quantum Wells. United States. https://doi.org/10.1103/PhysRevLett.123.016802
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Faugno, W. N., Balram, Ajit C., Barkeshli, Maissam, and Jain, J. K. Tue . "Prediction of a Non-Abelian Fractional Quantum Hall State with f -Wave Pairing of Composite Fermions in Wide Quantum Wells". United States. https://doi.org/10.1103/PhysRevLett.123.016802. https://www.osti.gov/servlets/purl/1606392.
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@article{osti_1606392,
title = {Prediction of a Non-Abelian Fractional Quantum Hall State with f -Wave Pairing of Composite Fermions in Wide Quantum Wells},
author = {Faugno, W. N. and Balram, Ajit C. and Barkeshli, Maissam and Jain, J. K.},
abstractNote = {We theoretically investigate the nature of the state at 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.},
doi = {10.1103/PhysRevLett.123.016802},
journal = {Physical Review Letters},
number = 1,
volume = 123,
place = {United States},
year = {Tue Jul 02 00:00:00 EDT 2019},
month = {Tue Jul 02 00:00:00 EDT 2019}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevLett.123.016802
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Cited by: 25 works
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Figures / Tables:

FIG. 1 FIG. 1: Panel (a) Energies of several candidate states at ν = 1/4 as a function of density ρ for a quantum well of width 60 nm. The different states are labeled as shown on the figure. All energies are thermodynamic values, measured relative to the energy of the Pfaffianmore » state. Only the CFFS and 22111 states become ground states for the parameters studied. (Inset) The electron density as a function of transverse position for densities 1.5 x 1011 cm-2 and 2.0 x 1011 cm-2 as given by LDA for a quantum well of width 60 nm. Panel (b) The calculated phase diagram at ν = 1/4 as a function of the quantum well width and density. In the region of parameter space shown in the figure only the CFFS and 22111 states are realized. We also include experimental results, shown by black squares, taken from Refs. [13, 14]. (c) Energies of several bilayer states as a function of the layer separation d/l . We have studied 11 liquid states (Table II) and 24 crystal states (SM). Here we omit the high energy states (see SM for more complete results) and show the energies of the ( 1/5, 1/5|3) state, the pseudospin singlet CFFS, the pseudospin polarized CFFS, and several crystal states (notation explained in text). All energies are measured relative to the ( 1/5, 1/5|3) state. No FQHE is stabilized.« less
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Works referenced in this record:

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    Works referencing / citing this record:

    Identification of topological order in the fractional quantum Hall state at ν = 1 / 4
    journal, November 2019

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      Figures / Tables found in this record:

      FIG. 1 (p. 3)figure
      TABLE I (p. 3)table
      TABLE II (p. 3)table
      FIG. 2 (p. 6)figure
      FIG. 3 (p. 6)figure
      FIG. 4 (p. 6)figure
      FIG. 5 (p. 7)figure
      FIG. 6 (p. 7)figure
      FIG. 7 (p. 8)figure
      FIG. 8 (p. 8)figure
      FIG. 9 (p. 9)figure
      TABLE III (p. 9)table
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