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

Abstract

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.

Authors:
 [1];  [2];  [3]
  1. The Pennsylvania State Univ., University Park, PA (United States)
  2. Wroclaw Univ. of Technology, Wroclaw (Poland)
  3. The Pennsylvania State Univ., University Park, PA (United States); Indian Institute of Science, Bengaluru (India)
Publication Date:
Research Org.:
Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1489118
Alternate Identifier(s):
OSTI ID: 1322437
Grant/Contract Number:  
SC0005042
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 117; Journal Issue: 11; 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; fractional quantum Hall effect; composite fermions; spin polarization

Citation Formats

Zhang, Yuhe, Wójs, A., and Jain, J. K. Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect. United States: N. p., 2016. Web. doi:10.1103/PhysRevLett.117.116803.
Zhang, Yuhe, Wójs, A., & Jain, J. K. Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect. United States. doi:10.1103/PhysRevLett.117.116803.
Zhang, Yuhe, Wójs, A., and Jain, J. K. Thu . "Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect". United States. doi:10.1103/PhysRevLett.117.116803. https://www.osti.gov/servlets/purl/1489118.
@article{osti_1489118,
title = {Landau-Level Mixing and Particle-Hole Symmetry Breaking for Spin Transitions in the Fractional Quantum Hall Effect},
author = {Zhang, Yuhe and Wójs, A. and Jain, J. K.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.117.116803},
journal = {Physical Review Letters},
number = 11,
volume = 117,
place = {United States},
year = {2016},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 4 works
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Figures / Tables:

FIG. 1. FIG. 1.: The theoretical critical Zeeman energies αcritZ = EcritZ/(e2/ϵl) for ν = 2/5 (left), 3/7 (middle), 4/9 (right) are shown with empty symbols with error bars, calculated from both DMC (solid line) and VMC (dashed line) methods, for an ideal 2D system (w = 0), quantum wells with widthsmore » w = 30nm and 50nm, and heterojunction (HJ). The symbol ρ denotes the electron density. The solid lines for quantum wells and heterojunction display a “hill” shape, where, roughly speaking, LL mixing correction dominates on the left of the “hill” (at small ρ) and finite width correction on the right (at large ρ).« less

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