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Restoring Ergodicity in a Strongly Disordered Interacting Chain.

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Strongly disordered fermion chains behave like weakly perturbed integrable models. A rescaled model shows systems remain ergodic even at high disorder strengths, challenging many-body localization theories.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Systems

Background:

  • The study of interacting fermions with random disorder is crucial for understanding many-body localization (MBL).
  • Anderson insulators serve as a baseline for disordered quantum systems.

Purpose of the Study:

  • To analyze the nature of local perturbations in disordered fermion chains.
  • To investigate the behavior of these systems under varying disorder strengths and through a rescaled model.

Main Methods:

  • Analysis of two-body interactions in a disordered fermion chain.
  • Perturbation theory applied to Anderson insulators.
  • Introduction and analysis of a rescaled Hamiltonian.

Main Results:

  • Only a small fraction of the two-body interaction acts as a true local perturbation to the Anderson insulator.
  • This perturbation decreases with increasing disorder strength (W).
  • Strongly disordered systems resemble weakly perturbed integrable models and are hard to distinguish from them in finite-size calculations.

Conclusions:

  • The strongly disordered fermion chain can be viewed as a weakly perturbed Anderson insulator.
  • A rescaled model demonstrates that the system remains ergodic at arbitrarily large disorder strengths, suggesting a breakdown of MBL in this regime.