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.

5+3 pages, 5+1 figures

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• 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