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• W2506359018 abstract "We derive a rigorous classification of topologically stable Fermi surfaces of non-interacting, discrete translation-invariant systems from electronic band theory, adiabatic evolution and their topological interpretations. For systems on an infinite crystal it is shown that there can only be topologically unstable Fermi surfaces. For systems on a half- space and with a gapped bulk, our derivation naturally yields a $mathit{K}$-theory classification. Given the $d-1$-dimensional surface Brillouin zone $mathrm{X}_{s}$ of a $d$-dimensional half-space, our result implies that different classes of globally stable Fermi surfaces belong in $mathit{K^{-1}}mathrm{(X_{s})}$ for systems with only discrete translation-invariance. This result has a chiral anomaly inflow interpretation, as it reduces to the spectral flow for $d = 2$. Through equivariant homotopy methods we extend these results for symmetry classes $AI,,AII,, C$ and $D$ and discuss their corresponding anomaly inflow interpretation." @default.
• W2506359018 created "2016-08-23" @default.
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• W2506359018 date "2016-11-01" @default.
• W2506359018 modified "2023-09-23" @default.
• W2506359018 title "Topology of Fermi surfaces and anomaly inflows" @default.
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• W2506359018 doi "https://doi.org/10.1007/jhep11(2016)083" @default.
• W2506359018 hasPublicationYear "2016" @default.
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