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Title: Composite fermion duality for half-filled multicomponent Landau levels

Abstract

We study the interplay of particle-hole symmetry and fermion-vortex duality in multicomponent half-filled Landau levels, such as quantum Hall gallium arsenide bilayers and graphene.

Authors:
 [1];  [1];  [2];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Harvard Univ., Cambridge, MA (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE
OSTI Identifier:
1423872
Alternate Identifier(s):
OSTI ID: 1344817
Grant/Contract Number:
sc0008739
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 95; Journal Issue: 8; 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; Chern-Simons gauge theory; Dualities in field theory; Excitons; Fractional quantum Hall effect; Fractionalization; Integer quantum Hall effect; nonperturbative effects in field theory; Spontaneous symmetry breaking; Topological field theories; topological phases of matter; vortices in superfluids; particles and fields; condensed matter and materials physics

Citation Formats

Sodemann, Inti, Kimchi, Itamar, Wang, Chong, and Senthil, T. Composite fermion duality for half-filled multicomponent Landau levels. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.95.085135.
Sodemann, Inti, Kimchi, Itamar, Wang, Chong, & Senthil, T. Composite fermion duality for half-filled multicomponent Landau levels. United States. doi:10.1103/PhysRevB.95.085135.
Sodemann, Inti, Kimchi, Itamar, Wang, Chong, and Senthil, T. Thu . "Composite fermion duality for half-filled multicomponent Landau levels". United States. doi:10.1103/PhysRevB.95.085135. https://www.osti.gov/servlets/purl/1423872.
@article{osti_1423872,
title = {Composite fermion duality for half-filled multicomponent Landau levels},
author = {Sodemann, Inti and Kimchi, Itamar and Wang, Chong and Senthil, T.},
abstractNote = {We study the interplay of particle-hole symmetry and fermion-vortex duality in multicomponent half-filled Landau levels, such as quantum Hall gallium arsenide bilayers and graphene.},
doi = {10.1103/PhysRevB.95.085135},
journal = {Physical Review B},
number = 8,
volume = 95,
place = {United States},
year = {Thu Feb 23 00:00:00 EST 2017},
month = {Thu Feb 23 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 5works
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  • Cited by 5
  • In this paper we argue that the Chern-Simons fermion Hall conductance should be {minus}e{sup 2}/2h in the recently developed dipole theory of the half-filled Landau level. {copyright} {ital 1999} {ital The American Physical Society}
  • Fluctuations of the Chern-Simons gauge field in the composite Fermi liquid description of the half-filled Landau level are pair breaking in all angular momentum channels. For short-range electron-electron interactions these fluctuations are sufficiently strong to drive any T=0 pairing transition first order. For Coulomb interactions these fluctuations are weaker and a continuous transition is possible. {copyright} {ital 1999} {ital The American Physical Society }
  • We calculate the effect of infrared fluctuations of the Chern-Simons gauge field on the single-particle Green{close_quote}s function of composite fermions in the half-filled Landau level via higher-dimensional bosonization on a curved Fermi surface. We find that composite fermions remain well-defined quasiparticles, with an effective mass given by the mean-field value, but with anomalously large damping and a spectral function that contains considerable weight away from the quasiparticle peak. {copyright} {ital 1997} {ital The American Physical Society}
  • We investigate the nature of the Mott-insulating phases of half-filled 2N-component fermionic cold atoms loaded into a one-dimensional optical lattice. By means of conformal field theory techniques and large-scale DMRG calculations, we show that the phase diagram strongly depends on the parity of N. First, we single out charged, spin-singlet degrees of freedom that carry a pseudospin S=N/2, making it possible to formulate a Haldane conjecture: For attractive interactions, we establish the emergence of Haldane insulating phases when N is even, whereas a metallic behavior is found when N is odd. We point out that the N=1,2 cases do notmore » have the generic properties of each family. The metallic phase for N odd and larger than 1 has a quasi-long-range singlet pairing ordering with an interesting edge-state structure. Moreover, the properties of the Haldane insulating phases with even N further depend on the parity of N/2. In this respect, within the low-energy approach, we argue that the Haldane phases with N/2 even are not topologically protected but equivalent to a topologically trivial insulating phase and thus confirm the recent conjecture put forward by Pollmann et al.[arXiv:0909.4059 (to be published)].« less