Topological Mott insulator in the odd-integer filled Anderson lattice model with Hatsugai-Kohmoto interactions

Abstract

Recently, a quantum anomalous Hall state at odd integer filling in moiré stacked MoTe${}_2$/WSe${}_2$ was convincingly interpreted as a topological Mott insulator state appearing due to strong interactions in {\it band} basis [P. Mai, J. Zhao, B. E. Feldman, and P. W. Phillips, Nat. Commun. {\bf 14}, 5999 (2023)]. In this work, we aim to analyze the formation of a topological Mott insulator due to interactions in {\it orbital} basis instead, being more natural for systems where interactions originate from the character of $f$ or $d$ orbitals rather than band flatness. For that reason, we study an odd-integer filled Anderson lattice model incorporating odd-parity hybridization between orbitals with different degrees of correlations introduced in the Hatsugai-Kohmoto spirit. We demonstrate that a topological Mott insulating state can be realized in a considered model only when weak intra- and inter-orbital correlations involving dispersive states are taken into account. Interestingly, we find that all topological transitions between trivial and topological Mott insulating phases are not accompanied by a spectral gap closing, consistent with a phenomenon called {\it first-order topological transition}. Instead, they are signaled by a kink developed in spectral function at one of the time reversal invariant momenta. We believe that our approach can provide insightful phenomenology of topological Mott insulators in spin-orbit coupled $f$ or $d$ electron systems.

arXiv comment7 pages, 4 figs

References in corpus (44)

• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Topological Insulators with Inversion Symmetry
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Topological Kondo Insulators
• Quantum anomalous Hall effect from intertwined moiré bands
• Topology of crystalline insulators and superconductors
• Interacting topological insulators: a review
• Classification of topological insulators and superconductors in the presence of reflection symmetry
• Classification of reflection symmetry protected topological semimetals and nodal superconductors
• Simplified topological invariants for interacting insulators
• Topology of nonsymmorphic crystalline insulators and superconductors
• First order character and observable signatures of topological quantum phase transitions
• Exact Superconducting Instability in a Doped Mott Insulator
• Fluctuation driven topological Hund insulators
• Topological invariants for interacting topological insulators with inversion symmetry
• Topological Mott Insulator at Quarter Filling in the Interacting Haldane Model
• Weyl Mott Insulator
• Interaction-driven transition between topological states in a Kondo insulator
• Continuous and discontinuous topological quantum phase transitions
• First order topological phase transition of the Haldane--Hubbard model
• Failure of Topological Invariants in Strongly Correlated Matter
• Doped Mott Insulators Break ${\mathbb{Z}}_2$ Symmetry of a Fermi Liquid: Stability of Strongly Coupled Fixed Points
• Strong Correlation Effects on Topological Quantum Phase Transitions in Three Dimensions
• 1/4 is the new 1/2 when topology is intertwined with Mottness
• Ferromagnetism in UGe2 : A microscopic model
• Metal-Insulator transitions in the periodic Anderson model
• Ground state stability, symmetry, and degeneracy in Mott insulators with long range interactions
• Solvable Periodic Anderson Model with Infinite-Range Hatsugai-Kohmoto Interaction: Ground-states and beyond
• Correlation-driven multigap d-wave superconductivity in Anderson lattice model
• First-Order Topological Quantum Phase Transition in a Strongly Correlated Ladder
• Criticalities in the itinerant ferromagnet UGe${}_2$
• Identification of Majorana Modes in Interacting Systems by Local Integrals of Motion
• Quantum anomalous Hall insulator in ionic Rashba lattice of correlated electrons
• Mechanism for transitions between ferromagnetic and antiferromagnetic orders in $d$-electron metallic magnets
• Gutzwiller Wave-Function Solution for Anderson Lattice Model: Emerging Universal Regimes of Heavy Quasiparticle States
• Statistical properties and statistical interaction for particles with spin: Hubbard model in one dimension and statistical spin liquid
• Topological phase in a two-dimensional metallic heavy-fermion system
• Universality Classes, Statistical Exclusion Principle and Properties of Interacting Fermions
• Manifestation of topological behaviors in interacting Weyl systems: one-body verse two-body correlations
• Mott transitions with partially-filled correlated orbitals
• Tricritical wings in UGe${}_2$: A microscopic interpretation
• Microscopic mechanism for the unusual antiferromagnetic order and the pressure-induced transition to ferromagnetism in USb${}_2$
• Ferromagnetism in the Two-Dimensional Periodic Anderson Model
• Many-body breakdown of indirect gap in topological Kondo insulators

Cited by in corpus (11)

• Topological Green's function zeros in an exactly solved model and beyond
• Real-space analysis of Hatsugai-Kohmoto interaction
• A Simple Solvable Model for Heavy Fermion Superconductivity from the Two-Fluid Normal State
• Topic Review: Hatsugai-Kohmoto models: Exactly solvable playground for Mottness and Non-Fermi Liquid
• Computing the ${\mathbb{Z}}_2$ Invariant in Two-Dimensional Strongly-Correlated Systems
• Twisting the Hubbard model into the Momentum-Mixing Hatsugai-Kohmoto Model
• Fate of gapless edge states in two-dimensional topological insulators with Hatsugai-Kohmoto interaction
• Strong pair-density-wave fluctuations in an exactly solvable doped Mott insulator
• Quantized and nonquantized Hall response in topological Hatsugai-Kohmoto systems
• Topological phase transition driven by Hatsugai-Kohmoto interaction on the Kagome lattice
• Exact analysis of the interplay of charge order and unconventional pairings in the 2D Hatsugai-Kohmoto model