Topological phase transition driven by Hatsugai-Kohmoto interaction on the Kagome lattice

Abstract

The interplay between band topology and strong correlations is central to modern condensed matter physics, but exact solutions are rare. Here, we present an exactly solvable model on the Kagome lattice by combining a Kane-Mele-type spin-orbit coupling with the Hatsugai-Kohmoto interaction. At 1/3 filling, we uncover a continuous topological quantum phase transition driven by electron interaction. A weakly correlated ${\mathbb{Z}}_2$ topological insulator gives way to a strongly correlated insulator that, while ${\mathbb{Z}}_2$-trivial, hosts a nontrivial spin Chern number $C_s=2$. The transition exhibits critical scaling consistent with the universality class of two-dimensional Dirac fermions. At half-filling, the same model yields a non-Fermi-liquid to Mott-insulator transition, demonstrating that correlation-driven topological and Mott transitions can be unified within a single solvable framework. Our results establish the Kagome Hatsugai-Kohmoto model as a valuable benchmark for interacting topological systems.

8 pages, 4 figures

References in corpus (44)

• Topological Insulators
• Topological insulators and superconductors
• High temperature fractional quantum Hall states
• Mott physics and band topology in materials with strong spin-orbit interaction
• Topological Mott Insulators
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Topological insulator on the kagome lattice
• Topological kagome magnets and superconductors
• Topological flat bands in frustrated kagome lattice CoSn
• Band touching from real space topology in frustrated hopping models
• Interacting topological insulators: a review
• Robustness of the Spin-Chern number
• Correlated Topological Insulators with Mixed Valence
• Time-reversal-symmetry-broken quantum spin Hall effect
• Topological Insulators and Mott Physics from the Hubbard Interaction
• Intrinsic Quantum Anomalous Hall Effect in the Kagome Lattice Cs2LiMn3F12
• Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study
• Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
• Particle-hole symmetry and interaction effects in the Kane-Mele-Hubbard model
• Tuning phase transition between quantum spin Hall and ordinary insulating phases
• Topological states on the breathing kagome lattice
• First order character and observable signatures of topological quantum phase transitions
• Exact Superconducting Instability in a Doped Mott Insulator
• Fluctuation driven topological Hund insulators
• Interaction-Driven Spontaneous Quantum Hall Effect on Kagome Lattice
• Fluctuation-induced Topological Quantum Phase Transitions in Quantum Spin Hall and Quantum Anomalous Hall Insulators
• Simulating and Detecting the Quantum Spin Hall Effect in Kagomé Optical Lattice
• Topological Mott Insulator at Quarter Filling in the Interacting Haldane Model
• Mott insulators with boundary zeros
• 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
• Topological order in a correlated Chern insulator
• Competing Chiral Orders in the Topological Haldane-Hubbard Model of Spin-1/2 Fermions and Bosons
• 1/4 is the new 1/2 when topology is intertwined with Mottness
• Topological invariants for interacting topological insulators: II. Breakdown of the Green's function formalism
• Ground state stability, symmetry, and degeneracy in Mott insulators with long range interactions
• Topological invariants for interacting topological insulators: I. Efficient numerical evaluation scheme and implementations
• Solvable Periodic Anderson Model with Infinite-Range Hatsugai-Kohmoto Interaction: Ground-states and beyond
• Two-stage superconductivity in the Hatsugai-Kohmoto-BCS model
• Quantum anomalous Hall insulator in ionic Rashba lattice of correlated electrons
• Topological Mott insulator in the odd-integer filled Anderson lattice model with Hatsugai-Kohmoto interactions
• Nature of continuous phase transitions in interacting topological insulators
• Nonlocal Kondo effect and two-fluid picture revealed in an exactly solvable model
• Fate of gapless edge states in two-dimensional topological insulators with Hatsugai-Kohmoto interaction