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Reentrant Localization Transition in a Quasiperiodic Chain.

Shilpi Roy1, Tapan Mishra1, B Tanatar2

  • 1Department of Physics, Indian Institute of Technology Guwahati-Guwahati, 781039 Assam, India.

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|March 30, 2021
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Summary
This summary is machine-generated.

In a disordered 1D lattice, localized states unexpectedly become extended before a second localization transition. This reentrant localization reveals new physics in disordered quantum systems.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Disordered Systems

Background:

  • Systems with quasiperiodic disorder typically show a localization transition in low dimensions, halting particle motion.
  • Understanding localization phenomena is crucial for designing novel quantum materials and devices.

Purpose of the Study:

  • To investigate the behavior of eigenstates in a one-dimensional dimerized lattice with staggered quasiperiodic disorder.
  • To identify and characterize a reentrant localization transition in such systems.

Main Methods:

  • Analysis of eigenspectra to identify energy levels.
  • Calculation of participation ratios to distinguish localized and extended states.
  • Examination of the density of states to understand system behavior.

Main Results:

  • A reentrant localization transition was observed: localized states become extended at intermediate disorder strengths.
  • Two distinct localization transitions occur, separated by a region of extended states.
  • These transitions are linked to single-particle mobility edges within the system.

Conclusions:

  • The study reveals a novel reentrant localization phenomenon in disordered 1D systems.
  • The findings challenge conventional understanding of localization transitions.
  • The identified mobility edges provide insights into the nature of quantum transport in disordered lattices.