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Title: Dirac Fermion Hierarchy of Composite Fermi Liquids

Abstract

Composite Fermi liquids (CFLs) are compressible states that can occur for 2D interacting fermions confined in the lowest Landau level at certain Landau level fillings. They have been understood as Fermi seas formed by composite fermions which are bound states of electromagnetic fluxes and electrons as reported by Halperin, Lee, and Read [Phys. Rev. B 47, 7312 (1993)]. At half filling, an explicitly particle-hole symmetric theory based on Dirac fermions was proposed by Son [Phys. Rev. X 5, 031027 (2015)] as an alternative low energy description. In this work, we investigate the Berry curvature of CFL model wave functions at a filling fraction of one-quarter, and observe that it is uniformly distributed over the Fermi sea except at the center where an additional π phase was found. Motivated by this, we propose an effective theory which generalizes Son’s half filling theory, by internal gauge flux attachment, to all filling fractions in which fermionic CFLs can occur. As a result, the numerical results support the idea of internal gauge flux attachment.

Authors:
ORCiD logo [1]
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  1. Princeton Univ., NJ (United States)
Publication Date:
Research Org.:
Princeton Univ., NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1610646
Alternate Identifier(s):
OSTI ID: 1529659
Grant/Contract Number:  
SC0002140
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 122; Journal Issue: 25; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Physics; Composite fermions; Dirac fermions; Quantum Hall effect

Citation Formats

Wang, Jie. Dirac Fermion Hierarchy of Composite Fermi Liquids. United States: N. p., 2019. Web. doi:10.1103/physrevlett.122.257203.
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Wang, Jie. Dirac Fermion Hierarchy of Composite Fermi Liquids. United States. https://doi.org/10.1103/physrevlett.122.257203
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Wang, Jie. Wed . "Dirac Fermion Hierarchy of Composite Fermi Liquids". United States. https://doi.org/10.1103/physrevlett.122.257203. https://www.osti.gov/servlets/purl/1610646.
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@article{osti_1610646,
title = {Dirac Fermion Hierarchy of Composite Fermi Liquids},
author = {Wang, Jie},
abstractNote = {Composite Fermi liquids (CFLs) are compressible states that can occur for 2D interacting fermions confined in the lowest Landau level at certain Landau level fillings. They have been understood as Fermi seas formed by composite fermions which are bound states of electromagnetic fluxes and electrons as reported by Halperin, Lee, and Read [Phys. Rev. B 47, 7312 (1993)]. At half filling, an explicitly particle-hole symmetric theory based on Dirac fermions was proposed by Son [Phys. Rev. X 5, 031027 (2015)] as an alternative low energy description. In this work, we investigate the Berry curvature of CFL model wave functions at a filling fraction of one-quarter, and observe that it is uniformly distributed over the Fermi sea except at the center where an additional π phase was found. Motivated by this, we propose an effective theory which generalizes Son’s half filling theory, by internal gauge flux attachment, to all filling fractions in which fermionic CFLs can occur. As a result, the numerical results support the idea of internal gauge flux attachment.},
doi = {10.1103/physrevlett.122.257203},
journal = {Physical Review Letters},
number = 25,
volume = 122,
place = {United States},
year = {Wed Jun 26 00:00:00 EDT 2019},
month = {Wed Jun 26 00:00:00 EDT 2019}
}
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https://doi.org/10.1103/physrevlett.122.257203
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Cited by: 7 works
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Works referenced in this record:

Is the Composite Fermion a Dirac Particle?
journal, September 2015

Trial wave functions for a composite Fermi liquid on a torus
journal, January 2018

Composite-fermion Hall conductance at ν=
journal, June 1997

Particle-hole symmetry and electromagnetic response of a half-filled Landau level
journal, March 2017

Symmetry and Duality in Bosonization of Two-Dimensional Dirac Fermions
journal, October 2017

Incompressible Paired Hall State, Stripe Order, and the Composite Fermion Liquid Phase in Half-Filled Landau Levels
journal, May 2000

The origin of holomorphic states in Landau levels from non-commutative geometry and a new formula for their overlaps on the torus
journal, August 2018

  • Haldane, F. D. M.
  • Journal of Mathematical Physics, Vol. 59, Issue 8
  • DOI: 10.1063/1.5046122

Fermi-liquid-like state in a half-filled Landau level
journal, February 1994

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

A duality web in 2 + 1 dimensions and condensed matter physics
journal, November 2016

Dirac composite fermions and emergent reflection symmetry about even-denominator filling fractions
journal, October 2018

A dipole interpretation of the state
journal, April 1998

Composite fermions on a torus
journal, November 2017

Particle-Hole Duality in the Lowest Landau Level
journal, May 2017

Entanglement Entropy of the ν = 1 / 2 Composite Fermion Non-Fermi Liquid State
journal, May 2015

Periodic Laughlin-Jastrow wave functions for the fractional quantized Hall effect
journal, February 1985

Theory of the half-filled Landau level
journal, March 1993

Partially filled Landau level at even denominators: A vortex metal with a Berry phase
journal, April 2018

Half-filled Landau level, topological insulator surfaces, and three-dimensional quantum spin liquids
journal, February 2016

Collective-Excitation Gap in the Fractional Quantum Hall Effect
journal, February 1985

Emergent particle-hole symmetry in the half-filled Landau level
journal, August 2016

Lattice Monte Carlo for quantum Hall states on a torus
journal, March 2019

Composite Fermi liquids in the lowest Landau level
journal, December 2016

A modular-invariant modified Weierstrass sigma-function as a building block for lowest-Landau-level wavefunctions on the torus
journal, July 2018

  • Haldane, F. D. M.
  • Journal of Mathematical Physics, Vol. 59, Issue 7
  • DOI: 10.1063/1.5042618

Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
journal, June 1999

Particle-hole symmetry and the composite Fermi liquid
journal, October 2015

  • Barkeshli, Maissam; Mulligan, Michael; Fisher, Matthew P. A.
  • Physical Review B, Vol. 92, Issue 16
  • DOI: 10.1103/PhysRevB.92.165125

Berry phase of the composite-fermion Fermi sea: Effect of Landau-level mixing
journal, August 2018

Many-Particle Translational Symmetries of Two-Dimensional Electrons at Rational Landau-Level Filling
journal, November 1985

Neutral Fermions at Filling Factor ν = 1 / 2
journal, May 1998

Particle-Vortex Duality from 3D Bosonization
journal, September 2016

Emergent particle-hole symmetry in spinful bosonic quantum Hall systems
journal, August 2017

Composite-fermion approach for the fractional quantum Hall effect
journal, July 1989

Thermoelectric Transport Signatures of Dirac Composite Fermions in the Half-Filled Landau Level
journal, August 2016

Topological phase transition underpinning particle-hole symmetry in the Halperin-Lee-Read theory
journal, September 2018

Berry Phase and Model Wave Function in the Half-Filled Landau Level
journal, October 2018

Particle-Hole Symmetry in the Fermion-Chern-Simons and Dirac Descriptions of a Half-Filled Landau Level
journal, August 2017

Quantitative study of large composite-fermion systems
journal, February 1997

Trial wave functions for a composite fermi liquid on a torus
text, January 2017

Particle-Vortex Duality from 3D Bosonization
text, January 2016

  • Karch, Andreas; Tong, David
  • Apollo - University of Cambridge Repository
  • DOI: 10.17863/cam.6036

Is the Composite Fermion a Dirac Particle?
text, January 2015

Luttinger theorem for the strongly correlated Fermi liquid of composite fermions
text, January 2015

The half-filled Landau level: the case for Dirac composite fermions
text, January 2015

Thermoelectric transport signatures of Dirac composite fermions in the half-filled Landau level
text, January 2015

Symmetry and duality in bosonization of two-dimensional Dirac fermions
text, January 2017

Composite Fermions on a Torus
text, January 2017

Lattice Monte Carlo for Quantum Hall States on a Torus
text, January 2017

Berry phase of the composite-fermion Fermi Sea: Effect of Landau-level mixing
text, January 2018

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