Particle-hole symmetry and electromagnetic response of a half-filled Landau level
Abstract
We derive exact physical consequences of particle-hole symmetry of the ν = 1/2 state of electrons in a strong magnetic field. We show that if the symmetry is not spontaneously broken, the Hall conductivity and the susceptibility satisfy an exact relationship, valid at any wave numbers and any frequencies much below the cyclotron frequency. The relationship holds for clean systems and also for systems with statistically particle-hole symmetric disorder. We work out the constraints this relationship imposes on the theory of the Dirac composite fermion. Here, we also argue that that the exact relationship is violated in the Halperin-Lee-Read (HLR) field theory and present an explicit calculation within a Galilean invariant mean-field approximation to the HLR theory to illustrate the breakdown.
- Authors:
-
- Univ. of Chicago, IL (United States)
- Publication Date:
- Research Org.:
- Univ. of Chicago, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Simons Foundation
- OSTI Identifier:
- 1595711
- Alternate Identifier(s):
- OSTI ID: 1347050
- Grant/Contract Number:
- SC0009924; DMR-1254741; FG02-13ER41958
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 12; 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; Composite fermions; Dirac fermions; Fractional quantum Hall effect; Topological phases of matter
Citation Formats
Levin, Michael, and Son, Dam Thanh. Particle-hole symmetry and electromagnetic response of a half-filled Landau level. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.95.125120.
Levin, Michael, & Son, Dam Thanh. Particle-hole symmetry and electromagnetic response of a half-filled Landau level. United States. https://doi.org/10.1103/PhysRevB.95.125120
Levin, Michael, and Son, Dam Thanh. Wed .
"Particle-hole symmetry and electromagnetic response of a half-filled Landau level". United States. https://doi.org/10.1103/PhysRevB.95.125120. https://www.osti.gov/servlets/purl/1595711.
@article{osti_1595711,
title = {Particle-hole symmetry and electromagnetic response of a half-filled Landau level},
author = {Levin, Michael and Son, Dam Thanh},
abstractNote = {We derive exact physical consequences of particle-hole symmetry of the ν = 1/2 state of electrons in a strong magnetic field. We show that if the symmetry is not spontaneously broken, the Hall conductivity and the susceptibility satisfy an exact relationship, valid at any wave numbers and any frequencies much below the cyclotron frequency. The relationship holds for clean systems and also for systems with statistically particle-hole symmetric disorder. We work out the constraints this relationship imposes on the theory of the Dirac composite fermion. Here, we also argue that that the exact relationship is violated in the Halperin-Lee-Read (HLR) field theory and present an explicit calculation within a Galilean invariant mean-field approximation to the HLR theory to illustrate the breakdown.},
doi = {10.1103/PhysRevB.95.125120},
journal = {Physical Review B},
number = 12,
volume = 95,
place = {United States},
year = {Wed Mar 15 00:00:00 EDT 2017},
month = {Wed Mar 15 00:00:00 EDT 2017}
}
Web of Science
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Works referencing / citing this record:
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