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Title: Emergent reflection symmetry from nonrelativistic composite fermions

Journal Article · · Physical Review. B
 [1];  [2];  [3]
  1. Stanford Univ., CA (United States)
  2. Univ. of California, Riverside, CA (United States)
  3. Stanford Univ., CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)

A recent experimental study [Pan et al., arXiv:1902.10262] has demonstrated that fractional quantum Hall effect gaps are essentially consistent with particle-hole symmetry in the lowest Landau level. Motivated by this result, we consider a clean two-dimensional electron system from the viewpoint of composite fermion mean-field theory. Here, we show that while the experiment is manifestly consistent with a Dirac composite fermion theory proposed recently by Son, it can equally well be explained within the framework of nonrelativistic composite fermions, first put forward by Halperin, Lee, and Read.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC02-76SF00515; DEAC02-76SF00515
OSTI ID:
1532386
Alternate ID(s):
OSTI ID: 1518519
Journal Information:
Physical Review. B, Vol. 99, Issue 20; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 5 works
Citation information provided by
Web of Science

References (24)

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Field Theories of Condensed Matter Physics book January 2013
Experimental evidence for composite fermions journal May 1997
Is the Composite Fermion a Dirac Particle? journal September 2015
Particle-hole symmetry and the composite Fermi liquid journal October 2015
The half-filled Landau level: The case for Dirac composite fermions journal April 2016
Luttinger Theorem for the Strongly Correlated Fermi Liquid of Composite Fermions journal October 2015
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Composite Fermi liquids in the lowest Landau level journal December 2016
Emergent particle-hole symmetry in the half-filled Landau level journal August 2016
Particle-hole symmetry and electromagnetic response of a half-filled Landau level journal March 2017
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Topological phase transition underpinning particle-hole symmetry in the Halperin-Lee-Read theory journal September 2018
Composite-fermion Hall conductance at ν= journal June 1997
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Parity violation and gauge noninvariance of the effective gauge field action in three dimensions journal May 1984
Effective mass of the four-flux composite fermion at ν = 1 / 4 journal February 2000
Evidence for Charge-Flux Duality near the Quantum Hall Liquid-to-Insulator Transition journal October 1996
Duality near quantum Hall transitions journal May 1997
Dirac composite fermions and emergent reflection symmetry about even-denominator filling fractions journal October 2018
Non-Abelian bosonization and modular transformation approach to superuniversality journal March 2019

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