Impurity-induced Mott ring states and Mott zeros ring states in the Hubbard operator formalism

Abstract

We study the formation of subgap impurity states in strongly correlated Mott insulators. We use a composite operator method that gives us access to both the bulk Green's function, as well as to the real-space Green's function in the presence of an impurity. Similar to the non-interacting systems, we show that the formation of impurity subgap states at large impurity potential ("Mott ring states") depends rather on the band-mixing, than on the topological character of the system. Thus even a trivial Mott insulator can under certain conditions exhibit ring states. For the system studied here the band mixing is that between the holon and doublon elementary excitations rather than an orbital mixing. Moreover we study the formation of bands of zeros in the correlated Green's function, believed to exhibit a free quasiparticle-like behavior. We show that in the presence of an impurity the same conclusion can be applied, i.e. ``Mott zeros ring states" form in the presence of topological bands of zeros, but also for trivial quasi-flat bands of zeros with band mixing.

References in corpus (64)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Classification of topological quantum matter with symmetries
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Topological quantum chemistry
• Intrinsic quantized anomalous Hall effect in a moiré heterostructure
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Quantization of fractional corner charge in $C_n$-symmetric higher-order topological crystalline insulators
• Tunable Correlated Chern Insulator and Ferromagnetism in Trilayer Graphene/Boron Nitride Moiré Superlattice
• Topological classification of crystalline insulators through band structure combinatorics
• Quantum anomalous Hall effect from intertwined moiré bands
• Theory of Underdoped Cuprates
• Topological approach to Luttinger's theorem and the Fermi surface of a Kondo lattice
• Single particle Green's functions and interacting topological insulators
• Robustness of the Spin-Chern number
• Experimental discovery of bulk-disclination correspondence
• Band geometry, Berry curvature and superfluid weight
• Correlation effects in two-dimensional topological insulators
• Impurity Bound States and Greens Function Zeroes as Local Signatures of Topology
• Particle-hole symmetry and interaction effects in the Kane-Mele-Hubbard model
• Fractional disclination charge in two-dimensional $C_n-$symmetric topological crystalline insulators
• Quantum phase transitions in the Kane-Mele-Hubbard model
• Universal probes of two-dimensional topological insulators: Dislocation and pi-flux
• Visualizing the evolution from the Mott insulator to a charge ordered insulator in lightly doped cuprates
• Superconductivity in the two dimensional Hubbard Model.
• Orbital-selective Mott transitions: Heavy fermions and beyond
• Orthogonal Metals: The simplest non-Fermi liquids
• Self-energy-functional theory
• Shiba impurity bound states as a probe of topological superconductivity and Fermion parity changing quantum phase transitions
• Visualizing the atomic scale electronic structure of the Ca2CuO2Cl2 Mott insulator
• The impossibility of exactly flat non-trivial Chern bands in strictly local periodic tight binding models
• Topological antiferromagnetic phase in a correlated Bernevig-Hughes-Zhang model
• Mott insulators with boundary zeros
• Spin-Resolved Topology and Partial Axion Angles in Three-Dimensional Insulators
• Z2 invariant protected bound states in topological insulators
• The effects of interaction on quantum spin Hall insulators
• Dislocation as a bulk probe of higher-order topological insulators
• Failure of Topological Invariants in Strongly Correlated Matter
• Topological interpretation of Luttinger theorem
• The Hubbard model in the two-pole approximation
• 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 invariants for interacting topological insulators: II. Breakdown of the Green's function formalism
• Bulk-boundary-defect correspondence at disclinations in rotation-symmetric topological insulators and superconductors
• d_{x^2-y^2} pairing of composite excitations in the 2D Hubbard model
• Impurity bound states in fully gapped $d$-wave superconductors with subdominant order parameters
• Electronic properties, correlated topology and Green's function zeros
• Topological invariants for interacting topological insulators: I. Efficient numerical evaluation scheme and implementations
• Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros
• Impurity bound states as detectors of topological band structures revisited
• Impact of topology on the impurity effects in extended $s$-wave superconductors with spin-orbit coupling
• Edge zeros and boundary spinons in topological Mott insulators
• Phase transitions in the Haldane-Hubbard model
• Topological Green's function zeros in an exactly solved model and beyond
• Zeros of Green Functions in Topological Insulators
• Bands renormalization and superconductivity in the strongly correlated Hubbard model using composite operators method
• Topological invariants for the fractional quantum Hall states
• Classical spins in topological insulators
• Impurity-induced bound states in superconductors with topological order
• Fermi-liquid corrections to the intrinsic anomalous Hall conductivity of topological metals
• Spontaneous layer selective Mott phase in the bilayer Hubbard model
• Bound states and local topological phase diagram of classical impurity spins coupled to a Chern insulator
• Charge density wave solutions of the Hubbard model in the composite operator formalism
• Local Density of States induced near Impurities in Mott Insulators