Sub-diffusive electronic states in octagonal tiling

Sub-diffusive electronic states in octagonal tiling

We study the quantum diffusion of charge carriers in octagonal tilings. Our numerical results show a power law decay of the wave-packet spreading, L(t) ∝ tβ, characteristic of critical states in quasicrystals at large time t. For many energies states are sub-diffusive, i.e. β < 0.5, and thus cond...

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Veröffentlicht in:Journal of physics. Conference series 2017-02, Vol.809 (1), p.12020
Hauptverfasser: Trambly de Laissardière, G., Oguey, C., Mayou, D.
Format: Artikel
Sprache:eng
Schlagworte:
Current carriers
Defects
Electron states
Physics
Quasicrystals
Tiling
Wave packets
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Zusammenfassung:We study the quantum diffusion of charge carriers in octagonal tilings. Our numerical results show a power law decay of the wave-packet spreading, L(t) ∝ tβ, characteristic of critical states in quasicrystals at large time t. For many energies states are sub-diffusive, i.e. β < 0.5, and thus conductivity increases when the amount of defects (static defects and/or temperature) increases.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/809/1/012020