Mott insulators with boundary zeros
arXiv:2301.05588 · doi:10.1038/s41467-023-42773-7
Abstract
The topological classification of electronic band structures is based on symmetry properties of Bloch eigenstates of single-particle Hamiltonians. In parallel, topological field theory has opened the doors to the formulation and characterization of non-trivial phases of matter driven by strong electron-electron interaction. Even though important examples of topological Mott insulators have been constructed, the relevance of the underlying non-interacting band topology to the physics of the Mott phase has remained unexplored. Here, we show that the momentum structure of the Green's function zeros defining the ``Luttinger surface" provides a topological characterization of the Mott phase related, in the simplest description, to the one of the single-particle electronic dispersion. Considerations on the zeros lead to the prediction of new phenomena: a topological Mott insulator with an inverted gap for the bulk zeros must possess gapless zeros at the boundary, which behave as a form of ``topological antimatter'' annihilating conventional edge states. Placing band and Mott topological insulators in contact produces distinctive observable signatures at the interface, revealing the otherwise spectroscopically elusive Green's function zeros.
arXiv comment7 pages, 4 figures; supplementary material available at https://doi.org/10.1038/s41467-023-42773-7; final published version
References in corpus (59)
- Topological insulators and superconductors
- Classification of topological insulators and superconductors in three spatial dimensions
- Topological Field Theory of Time-Reversal Invariant Insulators
- Classification of topological quantum matter with symmetries
- Quantum Spin Liquids
- Dirac semimetal in three dimensions
- Topological quantum chemistry
- Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
- Mott physics and band topology in materials with strong spin-orbit interaction
- Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
- Dirac Line Nodes in Inversion Symmetric Crystals
- Topological Mott Insulators
- TRIQS: A Toolbox for Research on Interacting Quantum Systems
- Topological approach to Luttinger's theorem and the Fermi surface of a Kondo lattice
- Single particle Green's functions and interacting topological insulators
- Double Dirac Semimetals in Three Dimensions
- Quantum phase transitions from topology in momentum space
- Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
- Impurity Bound States and Greens Function Zeroes as Local Signatures of Topology
- Evolution of electronic structure of doped Mott insulators - reconstruction of poles and zeros of Green's function
- Topological Order Parameters for Interacting Topological Insulators
- Fermi arcs and the hidden zeros of the Green's function in the pseudogap state
- Filling constraints for spin-orbit coupled insulators in symmorphic and non-symmorphic crystals
- Topological invariants and interacting one-dimensional fermionic systems
- First order character and observable signatures of topological quantum phase transitions
- Strong-Coupling Perturbation Theory of the Hubbard Model
- Doped high-Tc cuprate superconductors elucidated in the light of zeros and poles of electronic Green's function
- Topological order in the pseudogap metal
- Breakdown of traditional many-body theories for correlated electrons
- Characterization of a topological Mott insulator in one dimension
- Extending Luttinger's theorem to Z(2) fractionalized phases of matter
- Doped Spin Liquid: Luttinger Sum Rule and Low Temperature Order
- Impact of nonlocal correlations over different energy scales: A Dynamical Vertex Approximation study
- Fluctuation-induced Topological Quantum Phase Transitions in Quantum Spin Hall and Quantum Anomalous Hall Insulators
- Much Ado about Zeros: The Luttinger Surface and Mottness
- Weyl Mott Insulator
- Breakup of the Fermi surface near the Mott transition in low-dimensional systems
- Breakdown of Luttinger's theorem in two-orbital Mott insulators
- Featureless and non-fractionalized Mott insulators on the honeycomb lattice at 1/2 site filling
- Mott Transitions in the 2D Half-Filled Hubbard Model: Correlator Projection Method with Projective Dynamical Mean-Field Approximation
- Doped Mott Insulators Break Symmetry of a Fermi Liquid: Stability of Strongly Coupled Fixed Points
- Luttinger theorem for a spin-density-wave state
- Unified role of Green's function poles and zeros in topological insulators
- EDIpack: A parallel exact diagonalization package for quantum impurity problems
- Topological invariants for interacting topological insulators: II. Breakdown of the Green's function formalism
- Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems
- Spin-liquid insulators can be Landau's Fermi liquids
- Electronic properties, correlated topology and Green's function zeros
- Interacting topological quantum chemistry of Mott atomic limits
- Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros
- Momentum structure of the self-energy and its parametrization for the two-dimensional Hubbard model
- Interacting Topological Quantum Chemistry in 2D: Many-body Real Space Invariants
- Monte-Carlo study of Dirac semimetals phase diagram
- The Hubbard model beyond the two-pole approximation: a Composite Operator Method study
- The Composite Operator Method (COM)
- Topological Crystalline Bose Insulator in Two Dimensions via Entanglement Spectrum
- Resistivity Exponents in 3D-Dirac Semimetals From Electron-Electron Interaction
- A topological classification of molecules and chemical reactions with a perplectic structure
- Topological 'Luttinger' invariants protected by non-symmorphic symmetry in semimetals
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- Electronic properties, correlated topology and Green's function zeros
- Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros
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- Topological phases of the interacting Su-Schrieffer-Heeger model: An analytical study
- Deconfined quantum criticality of nodal -wave superconductivity, Néel order, and charge order on the square lattice at half-filling
- The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation
- Real-space analysis of Hatsugai-Kohmoto interaction
- Quantum oscillations in the hole-doped cuprates and the confinement of spinons
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- Next-generation EDIpack: A Lanczos-based package for quantum impurity models featuring general broken-symmetry phases, flexible bath topologies and multi-platform interoperability
- The Weyl-Mott point: topological and non-Fermi liquid behavior from an isolated Green's function zero
- Probing Green's Function Zeros by Co-tunneling through Mott Insulators
- Fate of gapless edge states in two-dimensional topological insulators with Hatsugai-Kohmoto interaction
- Quantum Restored Symmetry Protected Topological Phases
- Impact of correlations on topology in Kane-Mele model decorated with impurities
- From explicit to spontaneous charge order and the fate of antiferromagnetic quantum Hall state
- Real-Space Switching of Local Moments Driven by Quantum Geometry in Correlated Graphene Heterostructures
- Band structure picture for topology in strongly correlated systems with the ghost Gutzwiller ansatz
- Topological charge excitations and Green's function zeros in paramagnetic Mott insulators
- The Luttinger Count is the Homotopy not the Physical Charge: Generalized Anomalies Characterize Non-Fermi Liquids
- Topological strongly correlated phases in orthorhombic diamond lattice compounds
- Impurity-induced Mott ring states and Mott zeros ring states in the Hubbard operator formalism
- Inter-species topological phases via a dynamical gauge field
- Transmigration of Edge States with Interaction in Su-Schrieffer-Heeger Chain
- Infinite temperature spin dynamics in the asymmetric Hatsugai-Kohmoto model
- Entanglement across scales: Quantics tensor trains as a natural framework for renormalization
- Quantum anomalous Hall domains in a Quenched Topological Mott Insulator
- Engineering correlated Dirac fermions and flat bands on SiC with transition-metal adatom lattices
- Topological phase transition driven by Hatsugai-Kohmoto interaction on the Kagome lattice
- Robust boundary Luttinger surfaces in topological band structures
- Quantized and nonquantized Hall response in topological Hatsugai-Kohmoto systems
- Disorder-Induced Topological Phases in a Two-Dimensional Chern Insulator with Strong Magnetic Disorder