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Coupling two 3D lattices modifies Anderson localization. Moderate hopping lowers critical disorder in one lattice and induces effective disorder in the other, altering their electronic properties.

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Area of Science:

  • Condensed Matter Physics
  • Disordered Systems
  • Anderson Localization

Background:

  • The Anderson model describes electron localization in disordered systems.
  • Coupled lattices introduce inter-system interactions affecting electron transport.
  • Understanding localization-delocalization transitions is crucial for materials science.

Purpose of the Study:

  • Investigate the impact of interlattice hopping on localization-delocalization transitions in coupled 3D lattices.
  • Analyze the emergence of effective disorder and mobility edges in ordered lattices due to coupling.
  • Explore the possibility of creating a disorder-free channel in coupled disordered systems.

Main Methods:

  • Numerical simulation of two coupled 3D lattices.
  • Analysis of the effect of varying interlattice hopping strength.
  • Examination of the spectral properties and localization lengths.
  • Study of systems with uncorrelated and correlated disorder.

Main Results:

  • Moderate interlattice hopping reduces the critical disorder strength for localization in the disordered lattice.
  • The ordered lattice develops an effective disorder and mobility edges with increased critical disorder values.
  • Strong hopping leads to similar localization properties in both lattices.
  • Correlated disorder in both lattices can lead to a decoupled, disorder-free channel.

Conclusions:

  • Interlattice hopping significantly alters the localization-delocalization transition in coupled disordered systems.
  • Coupling can induce effective disorder and mobility edges in initially ordered lattices.
  • The study demonstrates a method to engineer disorder-free channels in complex lattice systems.