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Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2003

Quantum dynamics in high codimension tilings: from quasiperiodicity to disorder

Résumé

We 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.

Dates et versions

hal-00020488 , version 1 (11-03-2006)

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J. Vidal, Nicolas Destainville, R. Mosseri. Quantum dynamics in high codimension tilings: from quasiperiodicity to disorder. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2003, 68 (17), pp.172202. ⟨10.1103/PhysRevB.68.172202⟩. ⟨hal-00020488⟩
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