Statistical interactions and boson-anyon duality in fractional quantum Hall fluids
arXiv:2104.03984 · doi:10.1103/PhysRevLett.127.126406
Abstract
We present an exact scheme of bosonization for anyons (including fermions) in the two-dimensional manifold of the quantum Hall fluid. This gives every fractional quantum Hall phase of the electrons one or more dual bosonic descriptions. For interacting electrons, the statistical transmutation from anyons to bosons allows us to explicitly derive the microscopic statistical interaction between the anyons, in the form of the effective two-body and few-body interactions. This also leads to a number of unexpected topological phases of the single component bosonic fractional quantum Hall effect that may be experimentally accessible. Numerical analysis of the energy spectrum and ground state entanglement properties are carried out for simple examples.
4+ pages, 2 figures, comments very welcome
References in corpus (9)
- Non-Abelian Anyons and Topological Quantum Computation
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Anyons and the quantum Hall effect - a pedagogical review
- Exotic non-Abelian anyons from conventional fractional quantum Hall states
- Fractional Quantum Hall States and Jack Polynomials
- Band mass anisotropy and the intrinsic metric of fractional quantum Hall systems
- Pseudopotentials for Multi-particle Interactions in the Quantum Hall Regime
- Conformal invariance of chiral edge theories
- Zero modes, Bosonization and Topological Quantum Order: The Laughlin State in Second Quantization