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• W2997256218 abstract "In this paper, we introduce a novel class of topological systems with inversion-symmetry and fractional (non-integral) Chern numbers. The non-integral topological number arises due to the discontinuous behaviour of the Hamiltonian in the spectral domain. We propose a fractional bulk-edge correspondence that links the number of edge-states with the fractional topological number. Furthermore, we show that the number of bands below a band-gap of a generic one-dimensional periodic system determines the Chern topological number of an extended system with a synthetic dimension. It is theoretically and numerically demonstrated that in real-space the Chern number gives the number of gapless trapped state branches localized at the system boundary, when its geometry is continuously displaced by one lattice period." @default.
• W2997256218 created "2020-01-10" @default.
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• W2997256218 date "2019-12-24" @default.
• W2997256218 modified "2023-10-17" @default.
• W2997256218 title "Fractional Chern numbers and topological pumping in photonic systems" @default.
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• W2997256218 hasPublicationYear "2019" @default.
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