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How nonlinear interactions challenge the three-dimensional Anderson transition.

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics

Background:

  • Understanding the Anderson transition in disordered systems is crucial.
  • Particle interactions can complicate theoretical models of localization.

Purpose of the Study:

  • To investigate the effect of interactions on the Anderson transition in boson gases.
  • To characterize the novel phase emerging in the presence of interactions.

Main Methods:

  • Theoretical analysis of boson gases with weak interactions.
  • Investigating the critical point and properties of the emergent phase.

Main Results:

  • Weak interactions significantly alter the Anderson transition in boson gases.
  • A novel phase appears below the critical point, characterized by a new critical exponent.
  • Subdiffusive transport and a breakdown of one-parameter scaling for Anderson localization are observed.

Conclusions:

  • The Anderson transition is profoundly modified by particle interactions in boson gases.
  • A new universality class may be required to describe this interacting Anderson transition.