Anomalous Quantum Diffusion and Conductivity of Quasicrystals

dc.creatorMayou, Didier
dc.date1999-12-07
dc.date.accessioned2026-07-25T23:53:20Z
dc.descriptionA phenomenological diffusion law $L(t)\propto t^β$, where L(t) measures the spreading of a wave-packet in a time t, is assumed for perfect quasicrystals. We show that it affects their conductivity with striking differences compared to the case of periodic metals. In the absence of defects the dissipative part of conductivity is non zero even at low frequencies contrary to the case of crystals. Also if $β<1/2$ the d.c. conductivity increases when disorder increases and the so-called Drude peak, characteristic of metals, is replaced by a dip . Experimental results are briefly discussed.
dc.description4 pages, 2 Postscript figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9912113
dc.identifierhttp://arxiv.org/abs/cond-mat/9912113
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/102339
dc.subjectCondensed Matter
dc.titleAnomalous Quantum Diffusion and Conductivity of Quasicrystals
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