The Weyl-Mott point: topological and non-Fermi liquid behavior from an isolated Green's function zero
arXiv:2410.22173 · doi:10.1103/k4st-77ph
Abstract
We present a model in which a Hatsugai-Kohmoto interaction is added to a system of fermions with a Weyl point in their non-interacting dispersion relation, and analyze its behavior as a function of the chemical potential. We show that the model exhibits a Weyl-Mott point -- a single isolated Green's function zero -- and that this implies an emergent non-Fermi-liquid state at the border of the metallic regime and a gapped topological state for the insulating one. The Weyl-Mott point inherits the topological charge from the original Green's function pole, and is therefore naturally associated with a strongly correlated chiral anomaly.
Corrected phase diagram and added references
References in corpus (23)
- A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
- Classification of topological insulators and superconductors in three spatial dimensions
- Fractional quantum Hall states at zero magnetic field
- Topological response in Weyl semimetals and the chiral anomaly
- Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
- Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
- One-Dimensional Symmetry Protected Topological Phases and their Transitions
- Intrinsically Gapless Topological Phases
- Symmetric-Gapped Surface States of Fractional Topological Insulators
- Lieb-Schultz-Mattis, Luttinger, and 't Hooft -- anomaly matching in lattice systems
- Topological Mott Insulator at Quarter Filling in the Interacting Haldane Model
- Mott insulators with boundary zeros
- Doped Mott Insulators Break Symmetry of a Fermi Liquid: Stability of Strongly Coupled Fixed Points
- Unified role of Green's function poles and zeros in topological insulators
- Charge density waves in Weyl semimetals
- Connecting the Many-Body Chern Number to Luttinger's Theorem through Středa's Formula
- Electronic properties, correlated topology and Green's function zeros
- Iron phthalocyanine on Au(111) is a "non-Landau" Fermi liquid
- Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros
- Topological Green's function zeros in an exactly solved model and beyond
- Topological order in interacting semimetals
- How to identify and characterize strongly correlated topological semimetals
- Spin density wave order in interacting type-I and type-II Weyl semimetals