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arXiv · 1611.01057

Sub-diffusive electronic states in octagonal tiling

G. Trambly de Laissardière·C. Oguey·D. Mayou
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Abstract

We study the quantum diffusion of charge carriers in octagonal tilings. Our numerical results show a power law decay of the wave-packet spreading, $L(t) \propto t^{\beta}$, characteristic of critical states in quasicrystals at large time $t$. For many energies states are sub-diffusive, i.e. $\beta < 0.5$, and thus conductivity increases when the amount of defects (static defects and/or temperature) increases.

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G. Trambly de Laissardière, C. Oguey, D. Mayou. 2016-11-03. Sub-diffusive electronic states in octagonal tiling. https://doi.org/10.1088/1742-6596%2F809%2F1%2F012020

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