Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relationship between the Electronic Polarization and the Winding Number
  in Non-Hermitian Systems   We discuss an extension of the Resta's electronic polarization to
non-Hermitian systems with periodic boundary conditions. We introduce the
``electronic polarization'' as an expectation value of the exponential of the
position operator in terms of the biorthogonal basis. We found that there
appears a finite region where the polarization is zero between two
topologically distinguished regions, and there is one-to-one correspondence
between the polarization and the winding number which takes half-odd integers
as well as integers. We demonstrate this argument in the non-Hermitian
Su-Schrieffer-Heeger model.

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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: math
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org