Localization properties of a two-channel 3D Anderson model

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.