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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Disordered systems

Background:

  • Many-body localization (MBL) in interacting quantum systems is analogous to a disordered hopping problem on the Fock-space graph.
  • A key characteristic of this disorder is strong correlations between Fock-space site energies.

Purpose of the Study:

  • To investigate the impact of maximally correlated disorder on Anderson localization.
  • To understand the fundamental role of correlations in disorder potentials on localization phenomena.

Main Methods:

  • Studied Anderson localization on Cayley trees and random regular graphs with maximally correlated disorder.
  • Employed an exact recursive formulation for local propagators.
  • Utilized a self-consistent mean-field theory.
  • Corroborated findings with exact diagonalization.

Main Results:

  • Anderson localization occurs even with maximally correlated disorder.
  • Localization is more robust, with critical disorder scaling as the square root of graph connectivity (√K).
  • This contrasts with the KlnK scaling observed for uncorrelated disorder.

Conclusions:

  • Correlated disorder significantly enhances the robustness of Anderson localization.
  • The observed scaling provides insights into the stability of many-body localization.
  • The study highlights the critical role of disorder correlations in quantum localization phenomena.