Bosonic Analogue of Dirac Composite Fermi Liquid

2016/05/11 by David F. Mross, Jason Alicea, Olexei I. Motrunich · 2 citations
Physics and Astronomy · #Boson #Composite fermion #Condensed matter physics #Dirac fermion #Fermi Gamma-ray Space Telescope #Fermion #Geometry #Magnetic field #Physics #Point reflection #Quantum Hall effect #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Quantum spin Hall effect #Symmetry (geometry) #Topological Materials and Phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.117.136802

published as Phys. Rev. Lett. 117, 136802 (2016) · 8 pages, 5 figures

arxiv created 2016/05/11 · openalex publication_date 2016/09/22 · arxiv updated 2016/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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.

Citations

• Is the Composite Fermion a Dirac Particle?
• Particle-vortex duality of two-dimensional Dirac fermion from electric-magnetic duality of three-dimensional topological insulators
• Quantum phase transition between integer quantum Hall states of bosons
• Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach
• Quantum phase transitions between bosonic symmetry-protected topological phases in two dimensions: EmergentQED3and anyon superfluid
• Unconventional quantum Hall effect and Berry’s phase of 2π in bilayer graphene
• From Luttinger liquid to non-Abelian quantum Hall states
• Competing orders, nonlinear sigma models, and topological terms in quantum magnets
• Composite Dirac Liquids: Parent States for Symmetric Surface Topological Order
• The electronic properties of graphene
• Nature of composite fermions and the role of particle-hole symmetry: A microscopic account
• A dipole interpretation of the state

Cited by

• Bosonization and mirror symmetry
• Quantum Hall phase diagram of two-component Bose gases: Intercomponent entanglement and pseudopotentials