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• W3102167174 abstract "We show that two-dimensional band insulators, with vanishing bulk polarization, obey bulk-and-edge to corner charge correspondence stating that the knowledge of the bulk and the two corresponding ribbon band structures uniquely determines the fractional part of the corner charge irrespective of the corner termination. Moreover, physical observables related to macroscopic charge density of a terminated crystal can be obtained by representing the crystal as collection of polarized edge regions with polarizations $vec P^text{edge}_alpha$, where the integer $alpha$ enumerates the edges. We introduce a particular manner of cutting a crystal, dubbed Wannier cut, which allows us to compute $vec P^text{edge}_alpha$. We find that $vec P^text{edge}_alpha$ consists of two pieces: the bulk piece expressed via quadrupole tensor of the bulk Wannier functions' charge density, and the edge piece corresponding to the Wannier edge polarization---the polarization of the edge subsystem obtained by Wannier cut. For a crystal with $n$ edges, out of $2n$ independent components of $vec P^text{edge}_alpha$, only $2n-1$ are independent of the choice of Wannier cut and correspond to physical observables: corner charges and edge dipoles." @default.
• W3102167174 created "2020-11-23" @default.
• W3102167174 creator A5059437058 @default.
• W3102167174 date "2020-10-02" @default.
• W3102167174 modified "2023-09-27" @default.
• W3102167174 title "Bulk-and-edge to corner correspondence" @default.
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• W3102167174 doi "https://doi.org/10.1103/physrevresearch.2.043012" @default.
• W3102167174 hasPublicationYear "2020" @default.
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