Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of quasiholes in fractional Chern insulators   We provide a detailed study of the Abelian quasiholes of $\nu=1/2$ bosonic
fractional quantum Hall states on the torus geometry and in fractional Chern
insulators. We find that the density distribution of a quasihole in a
fractional Chern insulator can be related to that of the corresponding
fractional quantum Hall state by choosing an appropriate length unit on the
lattice. This length unit only depends on the lattice model that hosts the
fractional Chern insulator. Therefore, the quasihole size in a fractional Chern
insulator can be predicted for any lattice model once the quasihole size of the
corresponding fractional quantum Hall state is known. We discuss the effect of
the lattice embedding on the quasihole size. We also perform the braiding of
quasiholes for fractional Chern insulator models to probe the fractional
statistics of these excitations. The numerical values of the braiding phases
accurately match the theoretical predictions.

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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con