Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterizing the weak topological properties: Berry phase point of
  view   We propose classification schemes for characterizing two-dimensional
topological phases with nontrivial weak indices. Here, "weak" implies that the
Chern number in the corresponding phase is trivial, while the system shows edge
states along specific boundaries. As concrete examples, we analyze different
versions of the so-called Wilson-Dirac model with (i) anisotropic Wilson terms,
(ii) next nearest neighbor hopping terms, and (iii) a superlattice
generalization of the model, here in the tight-binding implementation. For
types (i) and (ii) a graphic classification of strong properties is
successfully generalized for classifying weak properties. As for type (iii),
weak properties are attributed to quantized Berry phase pi along a Wilson loop.

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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: math
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The categories of this paper are: math-ph