Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Trapped modes in armchair graphene nanoribbons   We study scattering on an ultra-low potential in armchair graphene
nanoribbon. Using the continuous Dirac model and including a couple of
artificial waves in the scattering process, described by an augumented
scattering matrix, we derive a condition for the existence of a trapped mode.
We consider the threshold energies, where the the multiplicity of the
continuous spectrum changes and show that a trapped mode may appear for
energies slightly less than a threshold and its multiplicity does not exceed
one. For energies which are higher than a threshold, there are no trapped
modes, provided that the potential is sufficiently small.

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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: atom-ph