Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localization in coupled heterogeneously disordered transport channels on
  the Bethe lattice   We study the Anderson localization in systems, in which transport channels
with rather different properties are coupled together. This problem arises
naturally in systems of hybrid particles, such as exciton-polaritons, where it
is not obvious which transport channel dominates the coupled system. Here we
address the question of whether the coupling between a strongly and a weakly
disordered channel will result in localized (insulating) or delocalized
(metallic) behavior. Complementing an earlier study in 1D [H. Y. Xie, V. E.
Kravtsov, and M. M\"uller, Phys. Rev. B \textbf{86} 014205 (2012)], the problem
is solved here on a bilayer Bethe lattice with parametrically different
parameters. The comparison with the analytical solution in 1D shows that
dimensionality plays a crucial role. In D=1 localization is in general
dominated by the dirtier channel, which sets the backscattering rate. In
contrast, on the Bethe lattice a delocalized channel remains almost always
delocalized, even when coupled to strongly localized channels. We conjecture
that this phenomenology holds true for finite dimensions $D>2$ as well.
Possible implications for interacting many-body systems are discussed.

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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph