Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wave Functions, Quantum Diffusion, and Scaling Exponents in Golden-Mean
  Quasiperiodic Tilings   We study the properties of wave functions and the wave-packet dynamics in
quasiperiodic tight-binding models in one, two, and three dimensions. The atoms
in the one-dimensional quasiperiodic chains are coupled by weak and strong
bonds aligned according to the Fibonacci sequence. The associated d-dimensional
quasiperiodic tilings are constructed from the direct product of d such chains,
which yields either the hypercubic tiling or the labyrinth tiling. This
approach allows us to consider rather large systems numerically. We show that
the wave functions of the system are multifractal and that their properties can
be related to the structure of the system in the regime of strong quasiperiodic
modulation by a renormalization group (RG) approach. We also study the dynamics
of wave packets to get information about the electronic transport properties.
In particular, we investigate the scaling behaviour of the return probability
of the wave packet with time. Applying again the RG approach we show that in
the regime of strong quasiperiodic modulation the return probability is
governed by the underlying quasiperiodic structure. Further, we also discuss
lower bounds for the scaling exponent of the width of the wave packet and
propose a modified lower bound for the absolute continuous regime.

20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
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The categories of this paper are: adap-org