Quantum dynamics in high codimension tilings: from quasiperiodicity to disorder

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dc.creatorVidal, J.
dc.creatorDestainville, N.
dc.creatorMosseri, R.
dc.date2003-03-12
dc.date.accessioned2026-07-07T06:33:55Z
dc.date.available2026-07-07T06:33:55Z
dc.descriptionWe analyze the spreading of wavepackets in two-dimensional quasiperiodic and random tilings as a function of their codimension, i.e. of their topological complexity. In the quasiperiodic case, we show that the diffusion exponent that characterizes the propagation decreases when the codimension increases and goes to 1/2 in the high codimension limit. By constrast, the exponent for the random tilings is independent of their codimension and also equals 1/2. This shows that, in high codimension, the quasiperiodicity is irrelevant and that the topological disorder leads in every case, to a diffusive regime, at least in the time scale investigated here.
dc.description4 pages, 5 EPS figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0303224
dc.identifierhttp://arxiv.org/abs/cond-mat/0303224
dc.identifierPhys. Rev. B 68, 172202 (2003)
dc.identifierdoi:10.1103/PhysRevB.68.172202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99356
dc.subjectDisordered Systems and Neural Networks
dc.titleQuantum dynamics in high codimension tilings: from quasiperiodicity to disorder
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