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Localized-diffusive and ballistic-diffusive transitions in kicked incommensurate lattices.

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Summary
This summary is machine-generated.

Dynamical perturbations induce phase transitions in quasiperiodic lattices. The study observes transitions from localized and ballistic phases to a diffusive phase, mediated by critical subdiffusion and superdiffusion, respectively.

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Area of Science:

  • Condensed matter physics
  • Quantum chaos

Background:

  • Quasiperiodic lattice systems exhibit unique electronic properties.
  • Understanding phase transitions is crucial for materials science.

Purpose of the Study:

  • Investigate the impact of dynamical perturbations on localized and ballistic phases.
  • Characterize the nature of phase transitions in these systems.

Main Methods:

  • Utilized the kicked Harper model.
  • Analyzed the time evolution of particle transport.

Main Results:

  • Observed a transition from the localized phase to a diffusive phase.
  • This transition is characterized by critical subdiffusion (0<α<1).
  • Confirmed a transition from the ballistic phase to the diffusive phase via critical superdiffusion (1<α<2).

Conclusions:

  • Dynamical perturbations drive phase transitions in quasiperiodic systems.
  • The transitions are governed by distinct anomalous diffusion regimes.