Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetotransport in Quasilattices   The dc conductance and the Hall voltage of planar arrays of interconnected
quantum wires are calculated numerically. Our systems are derived from finite
patches of aperiodic graphs, with completely symmetric scatterers placed on
their vertices which are interconnected by ideal quantum wires. Already in a
periodic square lattice arrangement, quantum interference effects lead to
complicated magnetotransport properties related to the Hofstadter butterfly.
For rectangular Fibonacci grids and other quasiperiodic lattices, we obtain
still more complex fractal patterns. In particular, irrational ratios of edge
lengths and of tile areas in our samples destroy the periodicities with respect
to the Fermi wave vector and the magnetic flux, respectively.

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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol