Sub-diffusive electronic states in octagonal tiling

13th International Conference on Quasicrystals

Trambly De Laissardiere, G.^1 ; Oguey, C.^1 ; Mayou, D.^2,3

Laboratoire de Physique Théorique et Modélisation, CNRS, Université de Cergy-Pontoise, Cergy-Pontoise

95302, France^1

Univ. Grenoble Alpes, Inst NEEL, Grenoble

F-38042, France^2

CNRS, Inst NEEL, Grenoble

F-38042, France^3

关键词: Critical state;    Numerical results;    Power law decay;    Quantum diffusion;    Wave-packet spreading;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/809/1/012020/pdf
DOI  :  10.1088/1742-6596/809/1/012020

来源: IOP

【 摘 要 】

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