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arXiv · 1605.03582

Bosonic Analogue of Dirac Composite Fermi Liquid

David F. Mross·Jason Alicea·Olexei I. Motrunich
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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, 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.

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David F. Mross, Jason Alicea, Olexei I. Motrunich. 2016-05-11. Bosonic Analogue of Dirac Composite Fermi Liquid. https://doi.org/10.1103/physrevlett.117.136802

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