LandauLevel Mixing and ParticleHole 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 spinpolarized 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 Landaulevel mixing in lifting the particlehole symmetry. We report on an accurate quantitative study of this physics, evaluating the effect of Landaulevel mixing in a nonperturbative manner using a fixedphase 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 particlehole symmetry due to Landaulevel mixing.
 Authors:

 The Pennsylvania State Univ., University Park, PA (United States)
 Wroclaw Univ. of Technology, Wroclaw (Poland)
 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) (SC22)
 OSTI Identifier:
 1489118
 Alternate Identifier(s):
 OSTI ID: 1322437
 Grant/Contract Number:
 SC0005042
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Physical Review Letters
 Additional Journal Information:
 Journal Volume: 117; Journal Issue: 11; Journal ID: ISSN 00319007
 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. LandauLevel Mixing and ParticleHole 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. LandauLevel Mixing and ParticleHole 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 .
"LandauLevel Mixing and ParticleHole 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 = {LandauLevel Mixing and ParticleHole 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 spinpolarized 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 Landaulevel mixing in lifting the particlehole symmetry. We report on an accurate quantitative study of this physics, evaluating the effect of Landaulevel mixing in a nonperturbative manner using a fixedphase 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 particlehole symmetry due to Landaulevel mixing.},
doi = {10.1103/PhysRevLett.117.116803},
journal = {Physical Review Letters},
issn = {00319007},
number = 11,
volume = 117,
place = {United States},
year = {2016},
month = {9}
}
Web of Science
Figures / Tables:
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