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Published September 23, 2016 | Published + Submitted + Supplemental Material
Journal Article Open

Bosonic Analogue of Dirac Composite Fermi Liquid

Abstract

We introduce a particle-hole-symmetric metallic state of bosons in a magnetic field at odd-integer filling. This state hosts composite fermions whose energy dispersion features a quadratic band touching and corresponding 2π Berry flux protected by particle-hole and discrete rotation symmetries. We also construct an alternative particle-hole symmetric state—distinct in the presence of inversion symmetry—without Berry flux. As in the Dirac composite Fermi liquid introduced by Son [Phys. Rev. X 5, 031027 (2015)], breaking particle-hole symmetry recovers the familiar Chern-Simons theory. We discuss realizations of this phase both in 2D and on bosonic topological insulator surfaces, as well as signatures in experiments and simulations.

Additional Information

© 2016 American Physical Society. Received 24 May 2016; published 22 September 2016. We gratefully acknowledge T. Senthil, C. Kane, M. Metlitski, and D. T. Son for valuable discussions. This work was supported by the National Science Foundation (NSF) through Grants No. DMR-1341822 (J. A.) and No. DMR-1206096 (O. I. M.); the Caltech Institute for Quantum Information and Matter, a NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation; and the Walter Burke Institute for Theoretical Physics at Caltech.

Attached Files

Published - PhysRevLett.117.136802.pdf

Submitted - 1605.03582v1.pdf

Supplemental Material - supple.pdf

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