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Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect

Journal Article · · Physical Review Letters
 [1];  [2];  [3]
  1. The Pennsylvania State Univ., University Park, PA (United States); Penn State University
  2. Wroclaw Univ. of Technology, Wroclaw (Poland)
  3. The Pennsylvania State Univ., University Park, PA (United States); Indian Institute of Science, Bengaluru (India)
+ Show Author Affiliations
Here, the spin transitions in the fractional quantum Hall effect provide a direct measure of the tiny energy differences between differently spin-polarized states, and thereby serve as an extremely sen- sitive test of the quantitative accuracy of the theory of the fractional quantum Hall effect, and, in particular, of the role of Landau-level mixing in lifting the particle-hole symmetry. We report on an accurate quantitative study of this physics, evaluating the effect of Landau-level mixing in a nonperturbative manner using a fixed-phase diffusion Monte Carlo method. We find excellent agree- ment between our calculated critical Zeeman energies and the experimentally measured values. In particular, we find, as also do experiments, that the critical Zeeman energies for fractional quantum Hall states at filling factors ν = 2–n/(2n±1) are significantly higher than those for ν = n/(2n±1), a quantitative signature of the lifting of particle-hole symmetry due to Landau-level mixing.
Research Organization:
The Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Grant/Contract Number:
SC0005042
OSTI ID:
1489118
Alternate ID(s):
OSTI ID: 1322437
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 11 Vol. 117; ISSN 0031-9007; ISSN PRLTAO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (11)

Tunneling density of states, correlation energy, and spin polarization in the fractional quantum Hall regime journal August 2019
Parton construction of a wave function in the anti-Pfaffian phase journal July 2018
Berry phase of the composite-fermion Fermi sea: Effect of Landau-level mixing journal August 2018
Charge equilibration in integer and fractional quantum Hall edge channels in a generalized Hall-bar device journal May 2019
Crystallization in the Fractional Quantum Hall Regime Induced by Landau-Level Mixing journal September 2018
Unconventional Anisotropic Even-Denominator Fractional Quantum Hall State in a System with Mass Anisotropy journal December 2018
Prediction of a Non-Abelian Fractional Quantum Hall State with f -Wave Pairing of Composite Fermions in Wide Quantum Wells journal July 2019
Crystallization in the Fractional Quantum Hall Regime Induced by Landau-level Mixing text January 2018
Berry phase of the composite-fermion Fermi Sea: Effect of Landau-level mixing text January 2018
Unconventional anisotropic even-denominator fractional quantum Hall state in a system with mass anisotropy text January 2018
Prediction of a non-Abelian fractional quantum Hall state with $f$-wave pairing of composite fermions in wide quantum wells text January 2019

Figures / Tables (13)

FIG. 1.(p. 3)figure FIG. 1.
FIG. 2.(p. 4)figure FIG. 2.
FIG. 3.(p. 4)figure FIG. 3.
TABLE I.(p. 4)table TABLE I.
FIG. S1.(p. 7)figure FIG. S1.
FIG. S2.(p. 9)figure FIG. S2.
FIG. S3.(p. 10)figure FIG. S3.
FIG. S6.(p. 11)figure FIG. S6.
FIG. S4.(p. 11)figure FIG. S4.
FIG. S5.(p. 11)figure FIG. S5.
FIG. S8.(p. 12)figure FIG. S8.
FIG. S7.(p. 12)figure FIG. S7.
FIG. S9.(p. 12)figure FIG. S9.

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Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
composite fermions
fractional quantum Hall effect
spin polarization