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.
arXiv commentCorrected phase diagram and added references
References in corpus (53)
- Quantum Spin Hall Effect in Graphene
- Topological Order and the Quantum Spin Hall Effect
- Topological Insulators in Three Dimensions
- Weyl and Dirac Semimetals in Three Dimensional Solids
- 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
- Topological invariants of time-reversal-invariant band structures
- Fractional quantum Hall states at zero magnetic field
- Classification of Gapped Symmetric Phases in 1D Spin Systems
- Topological response in Weyl semimetals and the chiral anomaly
- Symmetry Protected Topological phases of Quantum Matter
- Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
- Single particle Green's functions and interacting topological insulators
- Fractional topological insulators
- Symmetry-protected topological orders for interacting fermions -- Fermionic topological nonlinear models and a special group supercohomology theory
- Bulk-boundary correspondence of topological insulators from their Green's functions
- Interacting fermionic topological insulators/superconductors in three dimensions
- Boson topological insulators: A window into highly entangled quantum phases
- Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
- Protected edge modes without symmetry
- One-Dimensional Symmetry Protected Topological Phases and their Transitions
- Entanglement Entropy and the Fermi Surface
- Exactly Soluble Model of a 3D Symmetry Protected Topological Phase of Bosons with Surface Topological Order
- Topology and edge modes in quantum critical chains
- Intrinsically Gapless Topological Phases
- Gapless Symmetry Protected Topological Order
- Symmetric-Gapped Surface States of Fractional Topological Insulators
- A Charge-Density-Wave Topological Semimetal
- Anomaly Manifestation of Lieb-Schultz-Mattis Theorem and Topological Phases
- Lieb-Schultz-Mattis, Luttinger, and 't Hooft -- anomaly matching in lattice systems
- Exact Superconducting Instability in a Doped Mott Insulator
- Exactly soluble models for fractional topological insulators in 2 and 3 dimensions
- Topological Mott Insulator at Quarter Filling in the Interacting Haldane Model
- Time-reversal symmetric hierarchy of fractional incompressible liquids
- Mott insulators with boundary zeros
- Weyl Mott Insulator
- 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
- Unpaired Weyl nodes from Long-Ranged Interactions: Fate of Quantum Anomalies
- Non-Local Annihilation of Weyl Fermions in Correlated Systems
- Topological quantum phase transition between Fermi liquid phases in an Anderson impurity model
- Monopole Charge Density Wave States in Weyl Semimetals
- Boundary effects on the local density of states of one-dimensional Mott insulators and charge density wave states
- Manifestation of topological behaviors in interacting Weyl systems: one-body verse two-body correlations
- 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