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Title: Weiss oscillations and particle-hole symmetry at the half-filled Landau level

Abstract

Particle-hole symmetry in the lowest Landau level of the two-dimensional electron gas requires the electrical Hall conductivity to equal ± e 2/2h at half filling. Here, we study the consequences of weakly broken particle-hole symmetry for magnetoresistance oscillations about half filling in the presence of an applied periodic one-dimensional electrostatic potential using the Dirac composite fermion theory proposed by Son [Son, Phys. Rev. X 5, 031027 (2015)]. At fixed electron density, the oscillation minima are asymmetrically biased towards higher magnetic fields, while at fixed magnetic field the oscillations occur symmetrically as the electron density is varied about half filling. We find an approximate “sum rule” obeyed for all pairs of oscillation minima that can be tested in experiment. The locations of the magnetoresistance oscillation minima for the composite fermion theory of Halperin, Lee, and Read (HLR) and its particle-hole conjugate agree exactly. Within the current experimental resolution, the locations of the oscillation minima produced by the Dirac composite fermion coincide with those of HLR. These results may indicate that all three composite fermion theories describe the same long-wavelength physics.

Authors:
 [1];  [2];  [3]
  1. Stanford Univ., CA (United States). Dept. of Physics
  2. Stanford Univ., CA (United States). Dept. of Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States)
  3. Univ. of California, Riverside, CA (United States). Dept. of Physics and Astronomy
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); Natural Sciences and Engineering Research Council of Canada (NSERC)
OSTI Identifier:
1369390
Alternate Identifier(s):
OSTI ID: 1364077
Grant/Contract Number:  
AC02-76SF00515; PHY-11-25915
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 95; Journal Issue: 23; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Cheung, Alfred K. C., Raghu, S., and Mulligan, Michael. Weiss oscillations and particle-hole symmetry at the half-filled Landau level. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.95.235424.
Cheung, Alfred K. C., Raghu, S., & Mulligan, Michael. Weiss oscillations and particle-hole symmetry at the half-filled Landau level. United States. doi:10.1103/PhysRevB.95.235424.
Cheung, Alfred K. C., Raghu, S., and Mulligan, Michael. Thu . "Weiss oscillations and particle-hole symmetry at the half-filled Landau level". United States. doi:10.1103/PhysRevB.95.235424. https://www.osti.gov/servlets/purl/1369390.
@article{osti_1369390,
title = {Weiss oscillations and particle-hole symmetry at the half-filled Landau level},
author = {Cheung, Alfred K. C. and Raghu, S. and Mulligan, Michael},
abstractNote = {Particle-hole symmetry in the lowest Landau level of the two-dimensional electron gas requires the electrical Hall conductivity to equal ± e2/2h at half filling. Here, we study the consequences of weakly broken particle-hole symmetry for magnetoresistance oscillations about half filling in the presence of an applied periodic one-dimensional electrostatic potential using the Dirac composite fermion theory proposed by Son [Son, Phys. Rev. X 5, 031027 (2015)]. At fixed electron density, the oscillation minima are asymmetrically biased towards higher magnetic fields, while at fixed magnetic field the oscillations occur symmetrically as the electron density is varied about half filling. We find an approximate “sum rule” obeyed for all pairs of oscillation minima that can be tested in experiment. The locations of the magnetoresistance oscillation minima for the composite fermion theory of Halperin, Lee, and Read (HLR) and its particle-hole conjugate agree exactly. Within the current experimental resolution, the locations of the oscillation minima produced by the Dirac composite fermion coincide with those of HLR. These results may indicate that all three composite fermion theories describe the same long-wavelength physics.},
doi = {10.1103/PhysRevB.95.235424},
journal = {Physical Review B},
number = 23,
volume = 95,
place = {United States},
year = {Thu Jun 15 00:00:00 EDT 2017},
month = {Thu Jun 15 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 5 works
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Works referenced in this record:

Two-dimensional gas of massless Dirac fermions in graphene
journal, November 2005

  • Novoselov, K. S.; Geim, A. K.; Morozov, S. V.
  • Nature, Vol. 438, Issue 7065, p. 197-200
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