Quantum dynamics in high codimension tilings: from quasiperiodicity to disorder

Details Quantum dynamics in high codimension tilings: from quasiperiodicity to disorder Quantum dynamics in high codimension tilings: from quasiperiodicity to disorder

2003-03-12

arxiv.org/abs/cond-mat/0303224v1

Phys. Rev. B 68, 172202 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 5 EPS figures

Scientific paper

10.1103/PhysRevB.68.172202

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.

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