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Localized-diffusive and ballistic-diffusive transitions in kicked incommensurate lattices
Hiroaki S Yamada1, Kensuke S Ikeda2
1Yamada Physics Research Laboratory, Aoyama 5-7-14-205, Niigata 950-2002, Japan.
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.
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.
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