Reentrant localization in a quasiperiodic chain with correlated hopping sequences.

Area of Science:

• Condensed Matter Physics
• Quantum Mechanics
• Materials Science

Background:

• Quasiperiodic systems exhibit localization transitions.
• Reentrant localization (RL) allows delocalization of states at higher modulation strengths.
• Impact of correlated hopping on RL is under-explored.

Purpose of the Study:

• Investigate RL in a 1D lattice with staggered, correlated on-site potentials.
• Analyze off-diagonal hopping modulations using Fibonacci and Bronze Mean sequences.
• Determine regimes and role of structural correlations in RL.

Main Methods:

• Aubry-Andr{e}-Harper model with quasiperiodic modulations.
• Analysis of fractal dimension, inverse participation ratio (IPR), and normalized participation ratio (NPR).
• Systematic parameter space exploration.

Main Results:

• Demonstrated RL transitions induced by the interplay of quasiperiodic on-site disorder and correlated hopping.
• Identified specific parameter regimes leading to RL.
• Correlated disorder affects both diagonal and off-diagonal terms.

Conclusions:

• Structural correlations are crucial for localization-delocalization transitions in low-dimensional quasiperiodic systems.
• Correlated hopping and on-site potentials can independently and interactively drive RL.
• Findings advance understanding of electronic properties in complex quasiperiodic materials.