Composite fermion Hall conductivity and the half-filled Landau level
Abstract
We consider the Hall conductivity of composite fermions in the theory of Halperin, Lee, and Read (HLR). We present a fully quantum mechanical numerical calculation that shows, under suitable conditions, the HLR theory exhibits a particle-hole symmetric dc electrical Hall response in the presence of quenched disorder. Remarkably, this response of the HLR theory remains robust even when the disorder range is of the order of the Fermi wavelength. We nd that deviations from particle-hole symmetric response can appear in the ac Hall conductivity at frequencies su ciently large compared to the inverse system size. Our results agree with a recent semi-classical analysis by Wang et al., Phys. Rev. X 7, 031029 (2017) and complement the arguments based on the fully quantum-mechanical model by Kumar et al., Phys. Rev. B 98, 11505 (2018). These results provide further evidence that the HLR theory is compatible with an emergent particle-hole symmetry.
- Authors:
-
- Stanford Univ., CA (United States)
- Stanford Univ., CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Univ. of California, Riverside, CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1532379
- Alternate Identifier(s):
- OSTI ID: 1546223
- Grant/Contract Number:
- AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 23; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Kumar, Prashant, Raghu, S., and Mulligan, Michael. Composite fermion Hall conductivity and the half-filled Landau level. United States: N. p., 2019.
Web. doi:10.1103/physrevb.99.235114.
Kumar, Prashant, Raghu, S., & Mulligan, Michael. Composite fermion Hall conductivity and the half-filled Landau level. United States. doi:10.1103/physrevb.99.235114.
Kumar, Prashant, Raghu, S., and Mulligan, Michael. Fri .
"Composite fermion Hall conductivity and the half-filled Landau level". United States. doi:10.1103/physrevb.99.235114. https://www.osti.gov/servlets/purl/1532379.
@article{osti_1532379,
title = {Composite fermion Hall conductivity and the half-filled Landau level},
author = {Kumar, Prashant and Raghu, S. and Mulligan, Michael},
abstractNote = {We consider the Hall conductivity of composite fermions in the theory of Halperin, Lee, and Read (HLR). We present a fully quantum mechanical numerical calculation that shows, under suitable conditions, the HLR theory exhibits a particle-hole symmetric dc electrical Hall response in the presence of quenched disorder. Remarkably, this response of the HLR theory remains robust even when the disorder range is of the order of the Fermi wavelength. We nd that deviations from particle-hole symmetric response can appear in the ac Hall conductivity at frequencies su ciently large compared to the inverse system size. Our results agree with a recent semi-classical analysis by Wang et al., Phys. Rev. X 7, 031029 (2017) and complement the arguments based on the fully quantum-mechanical model by Kumar et al., Phys. Rev. B 98, 11505 (2018). These results provide further evidence that the HLR theory is compatible with an emergent particle-hole symmetry.},
doi = {10.1103/physrevb.99.235114},
journal = {Physical Review B},
number = 23,
volume = 99,
place = {United States},
year = {2019},
month = {6}
}
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