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Correlated disorder in one-dimensional systems significantly shifts quantum localization transitions. This study reveals unique scaling behaviors deviating from conventional models, impacting interacting quantum systems.

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Statistical physics

Background:

  • Disorder-induced localization is a key phenomenon in quantum systems.
  • Correlated disorder introduces complexities beyond traditional random disorder models.
  • Understanding these effects is crucial for designing novel quantum materials and devices.

Purpose of the Study:

  • To investigate the localization transition in a 1D system with colored-noise disorder.
  • To analyze the impact of correlations on the localization transition point and scaling behavior.
  • To explore potential applications in cold atom experiments with optical disorder.

Main Methods:

  • Utilized two complementary renormalization group procedures.
  • Derived the phase diagram of the system.
  • Performed numerical analysis of localization length scaling.

Main Results:

  • Identified a significant shift in the localization transition point due to correlated disorder.
  • Revealed a novel scaling behavior of the localization length with disorder strength.
  • Demonstrated deviations from conventional localization phenomena.

Conclusions:

  • Correlated disorder fundamentally alters localization transitions in interacting quantum systems.
  • The findings provide new insights into the behavior of quantum particles in disordered environments.
  • The study offers a theoretical framework applicable to experimental systems like cold atoms.