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

Cheung, Alfred K.  C.; Raghu, S.; Mulligan, Michael

doi:10.1103/PhysRevB.95.235424

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

Journal Article · Thu Jun 15 00:00:00 EDT 2017 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.95.235424· OSTI ID:1369390

Cheung, Alfred K. C. ^[1]; Raghu, S. ^[2]; Mulligan, Michael ^[3]

Stanford Univ., CA (United States). Dept. of Physics
Stanford Univ., CA (United States). Dept. of Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States)
Univ. of California, Riverside, CA (United States). Dept. of Physics and Astronomy

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.

View Accepted Manuscript (DOE)

Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: Natural Sciences and Engineering Research Council of Canada (NSERC); USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1369390

Alternate ID(s):: OSTI ID: 1364077

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 23 Vol. 95; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Lattice Monte Carlo for Quantum Hall States on a Torus Wang, Jie; Geraedts, Scott D.; Rezayi, E. H. arXiv https://doi.org/10.48550/arxiv.1710.09729	text	January 2017
Berry phase of the composite-fermion Fermi Sea: Effect of Landau-level mixing Pu, Songyang; Fremling, Mikael; Jain, J. K. arXiv https://doi.org/10.48550/arxiv.1805.09237	text	January 2018

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