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Interacting Hofstadter Interface.

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Summary
This summary is machine-generated.

We studied edge states in topological insulators using the Hofstadter-Hubbard model. Interactions shift edge state positions, confirming bulk-boundary correspondence and suggesting quantum gas microscopy for detection.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Topological Phases of Matter

Background:

  • Two-dimensional topological insulators exhibit conducting edge states and insulating bulk.
  • Understanding edge state behavior in interacting systems is crucial for quantum material applications.

Purpose of the Study:

  • Investigate edge state emergence at a topological phase boundary in interacting fermions.
  • Characterize edge state localization and phase boundary properties.
  • Confirm bulk-boundary correspondence in interacting systems.

Main Methods:

  • Real-space analysis of the time-reversal invariant Hofstadter-Hubbard model.
  • Utilized local compressibility, spectral density, generalized local spin Chern marker, and Hall response.
  • Computed edge state spectra at the interface.

Main Results:

  • Good agreement found between various characterization methods for edge states and phase boundaries.
  • Observed robustness of edge states against two-body fermionic interactions.
  • Interactions were found to primarily shift the position of edge states.

Conclusions:

  • Confirmed bulk-boundary correspondence for the interacting Hofstadter-Hubbard model.
  • Proposed local compressibility measurement via quantum gas microscopy for experimental detection of edge states in ultracold atom setups.