Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invisible surface defects in a tight-binding lattice   Surface Tamm states arise in one-dimensional lattices from some defects at
the lattice edge and their energy generally falls in a gap of the crystal. The
defects at the surface change rather generally the phase of propagative Bloch
waves scattered off at the lattice edge, so that an observer, far from the
surface, can detect the existence of edge defects from e.g. time-of-flight
measurements as a delay or an advancement of a Bloch wave packet. Here we show
that a special class of defects can sustain surface Tamm states which are
invisible, in a sense that reflected waves acquire the same phase as in a fully
homogeneous lattice with no surface state. Surface states have an energy
embedded into the tight-binding lattice band and show a lower than exponential
(algebraic) localization. Like most of bound states in the continuum of von
Neumann - Wigner type, such states are fragile and decay into resonance surface
states in presence of perturbations or lattice disorder. The impact of
structural lattice imperfections and disorder on the invisibility of the
defects is investigated by numerical simulations.

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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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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: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: math