Composite fermion duality for half-filled multicomponent Landau levels
Name
PhysRevB.95.085135.pdf
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Author(s)
Wang, Chong
Sodemann Villadiego, Inti A.
Kimchi, Itamar
Todadri, Senthil
Date Issued
February 2017
Journal
Physical Review B
Publisher
American Physical Society
Citation
Sodemann, Inti et al. “Composite Fermion Duality for Half-Filled Multicomponent Landau Levels.” Physical Review B 95.8 (2017): n. pag. © 2017 American Physical Society
Version
Final published version
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. For the ν=1/2+1/2 bilayer, we show that particle-hole-symmetric interlayer Cooper pairing of composite fermions leads to precisely the same phase as the electron exciton condensate realized in experiments. This equivalence is easily understood by applying the recent Dirac fermion formulation of ν=1/2 to two components. It can also be described by Halperin-Lee-Read composite fermions undergoing interlayer p[subscript x]+ip[subscript y] pairing. A renormalization group analysis showing strong instability to interlayer pairing at large separation d→∞ demonstrates that two initially decoupled composite Fermi liquids can be smoothly tuned into the conventional bilayer exciton condensate without encountering a phase transition. We also discuss multicomponent systems relevant to graphene, derive related phases including a Z[subscript 2] gauge theory with spin-half visons, and argue for symmetry-enforced gaplessness under full SU(N[subscript f]) flavor symmetry when the number of components N[subscript f] is even.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.95.085135
