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Interactions and Mobility Edges: Observing the Generalized Aubry-André Model.

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Researchers experimentally realized a novel tight-binding model with a protected mobility edge. Attractive interactions significantly altered electron localization, deviating from single-particle predictions.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Atomic physics

Background:

  • Nearest-neighbor tight-binding models are crucial for understanding electron behavior in materials.
  • Quasiperiodic potentials and duality symmetries can lead to unique electronic properties, including mobility edges.
  • The Aubry-André model is a foundational example of a system exhibiting a mobility edge.

Purpose of the Study:

  • To experimentally realize and investigate a generalized tight-binding model with quasiperiodic site energy modulation.
  • To explore the existence and properties of an exact mobility edge protected by duality symmetry.
  • To study the influence of inter-particle interactions on localization phenomena in such systems.

Main Methods:

  • Utilizing synthetic lattices of laser-coupled atomic momentum modes to create the model system.
  • Adiabatically preparing low and high energy eigenstates.
  • Performing microscopic measurements of participation ratios to track mobility edge evolution.

Main Results:

  • Experimental realization of a tight-binding model with a duality-protected mobility edge.
  • Observation of energy-dependent density of states modification by a tuning parameter.
  • Significant deviations from single-particle predictions due to attractive interactions, showing enhanced localization at low energies and inhibited localization at high energies.

Conclusions:

  • Attractive interactions play a crucial role in modifying localization in systems with duality-induced mobility edges.
  • Observed self-trapping and screening effects highlight the importance of interactions beyond single-particle descriptions.
  • This work provides a platform for future quantitative studies of interaction effects on mobility edges.