Interacting Hofstadter Interface

Abstract

Two-dimensional topological insulators possess conducting edge states at their boundary while being insulating in the bulk. The detection of edge states remains an open question in ultracold atom setups. We propose a configuration to implement a topological interface within the experimentally realizable time-reversal invariant Hofstadter model which gives rise to a topological phase boundary at the center of the system, and investigate the influence of two-body interactions on the interface in a fermionic system. The interface can in principle be probed via the spatially resolved compressibility of the system by using a quantum gas microscope. Furthermore, we distinguish the phases through their Hall response and compute a local spin Chern marker which proves the phase separation of two distinct topological many-body phases. The bulk-boundary correspondence for the interacting system is confirmed by computing the edge state spectra at the interface.

arXiv comment5+3 pages, 5+1 figures

References in corpus (49)

• Topological Insulators
• Berry Phase Effects on Electronic Properties
• Experimental realisation of the topological Haldane model
• Continuous-time Monte Carlo methods for quantum impurity models
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
• A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Topological Thouless Pumping of Ultracold Fermions
• Visualizing edge states with an atomic Bose gas in the quantum Hall regime
• Observation of the topological soliton state in the Su-Schrieffer-Heeger model
• Observation of the Meissner effect with ultracold atoms in bosonic ladders
• Experimental reconstruction of the Berry curvature in a topological Bloch band
• Interacting topological insulators: a review
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Mapping topological order in coordinate space
• Topological creation and destruction of edge states in photonic graphene
• Bulk-boundary correspondence of topological insulators from their Green's functions
• Microscopy of the interacting Harper-Hofstadter model in the few-body limit
• Simplified topological invariants for interacting insulators
• Topological Order Parameters for Interacting Topological Insulators
• Robust topological edge states at the perfect surface step edge of topological insulator ZrTe${}_5$
• Direct imaging of topological edge states in cold-atom systems
• Direct observation of chiral currents and magnetic reflection in atomic flux lattices
• Experimental evidence of large-gap two-dimensional topological insulator on the surface of ZrTe5
• Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis
• Detecting Chiral Edge States in the Hofstadter Optical Lattice
• Topological states in two-dimensional optical lattices
• Topological Hofstadter Insulators in a Two-Dimensional Quasicrystal
• Real-space imaging of a topological protected edge state with ultracold atoms in an amplitude-chirped optical lattice
• Antiferromagnetism and the gap of a Mott insulator: Results from analytic continuation of the self-energy
• Time-Reversal-Invariant Hofstadter-Hubbard Model with Ultracold Fermions
• Floquet Edge States with Ultracold Atoms
• Direct measurement of topological invariants in optical lattices
• Effects of Smooth Boundaries on Topological Edge Modes in Optical Lattices
• Universal Thermometry for Quantum Simulation
• Edge states reconstruction from strong correlations in quantum spin Hall insulators
• Creating topological interfaces and detecting chiral edge modes in a 2D optical lattice
• Interaction-Induced Topological and Magnetic Phases in the Hofstadter-Hubbard Model
• Dimensional crossover and cold-atom realization of topological Mott insulators
• Correlated Topological Phases and Exotic Magnetism with Ultracold Fermions
• Thermodynamics vs. local density fluctuations in the metal/Mott-insulator crossover
• Topological invariant for two-dimensional open systems
• Topological Edge-State Manifestation of Interacting 2D Condensed Boson-Lattice Systems in a Harmonic Trap
• Compressibility as a probe of quantum phase transitions in topological superconductors

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• Effect of disorder on topological charge pumping in the Rice-Mele model
• Local Topological Markers in Odd Dimensions
• Reversal of quantised Hall drifts at non-interacting and interacting topological boundaries
• Simulating bosonic Chern insulators in one-dimensional optical superlattices
• Microscopic characteristics and tomography scheme of the local Chern marker
• ${\mathbb{Z}}_n$ solitons in intertwined topological phases
• Local marker for interacting topological insulators
• Lattice symmetry and emergence of antiferromagnetic quantum Hall states
• Measuring the topological phase transition via the single-particle density matrix
• Local Chern marker of smoothly confined Hofstadter fermions
• Antiferromagnetic Chern insulator in centrosymmetric systems
• Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
• Spin-imbalance-induced transverse magnetization in the Hofstadter-Hubbard model
• 1D quasicrystals and topological markers
• Multiorder topological superfluid phase transitions in a two-dimensional optical superlattice
• Antiferromagnetic Chern insulator with large charge gap in heavy transition-metal compounds
• Antiferromagnetic topological insulators in heavy-fermion systems
• Robust qubit interactions mediated by photonic topological edge states
• Mott transition and magnetism in a fragile topological insulator
• From explicit to spontaneous charge order and the fate of antiferromagnetic quantum Hall state
• Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems
• Invisible flat bands on a topological chiral edge