Phase induced localization transition

TL;DR

This paper demonstrates that the phase of the hopping term in a quasiperiodic model can significantly influence localization properties, revealing a phase-induced localization transition overlooked in traditional studies.

Contribution

The study introduces a quasiperiodic model showing that phase changes in the hopping term can induce localization transitions, challenging previous assumptions.

Findings

Phase change significantly alters localization properties

Inverse participation ratio confirms localization transition

Multifractal analysis supports the phase-induced transition

Abstract

Localization phenomenon is an important research field in condensed matter physics. However, due to the complexity and subtlety of disordered syestems, new localization phenomena always emerge unexpectedly. For example, it is generally believed that the phase of the hopping term does not affect the localization properties of the system, so the calculation of the phase is often ignored in the study of localization. Here, we introduce a quasiperiodic model and demonstrate that the phase change of the hopping term can significantly alter the localization properties of the system through detailed numerical simulations such as the inverse participation ratio and multifractal analysis. This phase-induced localization transition provides valuable information for the study of localization physics.