Edge zeros and boundary spinons in topological Mott insulators

Abstract

We introduce a real-space slave rotor theory of the physics of topological Mott insulators, using the Kane-Mele-Hubbard model as an example, and use it to show that a topological gap in the Green function zeros corresponds to a gap in the bulk spinon spectrum and that a zero edge mode corresponds to a spinon edge mode. We then consider an interface between a topological Mott insulator and a conventional topological insulator showing how the spinon edge mode of the topological Mott insulator combines with the spin part of the conventional electron topological edge state leaving a non-Fermi liquid edge mode described by a gapless propagating holon and gapped spinon state. Our work demonstrates the physical meaning of Green function zeros and shows that interfaces between conventional and Mott topological insulators are a rich source of new physics.

7+5 pages, 4+3 figures

References in corpus (26)

• Topological Mott Insulators
• Fractionalized Fermi liquids
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• On the stability of U(1) spin liquids in two dimensions
• Orbital selective Mott transition in multi-band systems: slave-spin representation and dynamical mean-field theory
• Simplified topological invariants for interacting insulators
• Correlation effects in two-dimensional topological insulators
• Evolution of electronic structure of doped Mott insulators - reconstruction of poles and zeros of Green's function
• Rotationally-invariant slave-boson formalism and momentum dependence of the quasiparticle weight
• Topological invariants and interacting one-dimensional fermionic systems
• Doped high-Tc cuprate superconductors elucidated in the light of zeros and poles of electronic Green's function
• Mott insulators with boundary zeros
• Breakdown of Luttinger's theorem in two-orbital Mott insulators
• Failure of Topological Invariants in Strongly Correlated Matter
• Topological interpretation of Luttinger theorem
• Unified role of Green's function poles and zeros in topological insulators
• Connecting the Many-Body Chern Number to Luttinger's Theorem through Středa's Formula
• Topological number and Fermion Green's function of Strongly Interacting Topological Superconductors
• Magnetic Impurity as a Local Probe of the U(1) Quantum Spin Liquid with Spinon Fermi Surface
• Electronic properties, correlated topology and Green's function zeros
• Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros
• Low energy effective field theories of fermion liquids and mixed $U(1)\times {\mathbb{R}}^d$ anomaly
• Electronic Density of States of a $U\left(1\right)$ Quantum Spin Liquid with Spinon Fermi Surface. II. Zeeman Magnetic Field Effects
• Bad topological semimetals in layered honeycomb compounds
• Manumitting slave-spins in the Anderson impurity model

Cited by in corpus (10)

• Andreev non-Hermitian Hamiltonian for open Josephson junctions from Green's functions
• Fermi-liquid corrections to the intrinsic anomalous Hall conductivity of topological metals
• Revealing spinons by proximity effect
• Probing Green's Function Zeros by Co-tunneling through Mott Insulators
• Topological charge excitations and Green's function zeros in paramagnetic Mott insulators
• Real-Space Switching of Local Moments Driven by Quantum Geometry in Correlated Graphene Heterostructures
• Topological strongly correlated phases in orthorhombic diamond lattice compounds
• Impurity-induced Mott ring states and Mott zeros ring states in the Hubbard operator formalism
• Quantum Hall to Chiral Spin Liquid transition in a Triangular Lattice Hofstadter-Hubbard Model
• Probing quasiparticle excitations in a doped Mott insulator via Friedel oscillations