Composite fermion duality for half-filled multicomponent Landau levels

Inti Sodemann, Itamar Kimchi, Chong Wang, and T. Senthil
Phys. Rev. B 95, 085135 – Published 23 February 2017

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 px+ipy 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 Z2 gauge theory with spin-half visons, and argue for symmetry-enforced gaplessness under full SU(Nf) flavor symmetry when the number of components Nf is even.

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  • Received 12 December 2016

DOI:https://doi.org/10.1103/PhysRevB.95.085135

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsParticles & Fields

Authors & Affiliations

Inti Sodemann1, Itamar Kimchi1, Chong Wang2, and T. Senthil1

  • 1Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 2Department of Physics, Harvard University, Cambridge, Massachusetts, 02138, USA

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Issue

Vol. 95, Iss. 8 — 15 February 2017

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