Sub-diffusive electronic states in octagonal tiling

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