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 $2\pi$ 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.

8 pages, 5 figures

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• The electronic properties of graphene
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• Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
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• Coupled-wire constructions: a Luttinger liquid approach to topology
• Quantum Hall hierarchy from coupled wires
• Emergent particle-hole symmetry in spinful bosonic quantum Hall systems
• Non-Abelian bosonization and modular transformation approach to superuniversality
• A UV perspective on mixed anomalies at critical points between bosonic symmetry-protected phases
• A non-Abelian twist to integer quantum Hall states
• Particle-vortex symmetric liquid
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• Non-Abelian Fermionization and Fractional Quantum Hall Transitions
• Quantum Hall phase diagram of two-component Bose gases: Intercomponent entanglement and pseudopotentials
• Paired parton quantum Hall states: a coupled wire construction
• Time-reversal odd transport in bilayer graphene: Hall conductivity and Hall viscosity
• Thermoelectric properties and Wiedemann-Franz like relations in mixed-dimensional QEDs from particle-vortex dualities
• Holomorphicity, Vortex Attachment, Gauge Invariance and the Fractional Quantum Hall Effect