Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anomalous edge state in a non-Hermitian lattice   We show that the bulk-boundary correspondence for topological insulators can
be modified in the presence of non-Hermiticity. We consider a one-dimensional
tight-binding model with gain and loss as well as long-range hopping. The
system is described by a non-Hermitian Hamiltonian that encircles an
exceptional point in momentum space. The winding number has a fractional value
of 1/2. There is only one dynamically stable zero-energy edge state due to the
defectiveness of the Hamiltonian. This edge state is robust to disorder due to
protection by a chiral symmetry. We also discuss experimental realization with
arrays of coupled resonator optical waveguides.

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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
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The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn