Matches in SemOpenAlex for { <https://semopenalex.org/work/W4296205087> ?p ?o ?g. }
- W4296205087 abstract "Nature harbors crystals of dimensionality ($d$) only up to three. Here we introduce the notion of emph{projected topological branes} (PTBs): Lower-dimensional branes embedded in higher-dimensional parent topological crystals, constructed via a geometric cut-and-project procedure on the Hilbert space of the parent lattice Hamiltonian. When such a brane is inclined at a rational or an irrational slope, either a new lattice periodicity or a quasicrystal emerges. The latter gives birth to topoquasicrystals within the landscape of PTBs. As such PTBs are shown to inherit the hallmarks, such as the bulk-boundary, bulk-dislocation correspondences and topological invariant, of the parent topological crystals. We exemplify these outcomes by focusing on two-dimensional parent Chern insulators, leaving its signatures on projected one-dimensional (1D) topological branes in terms of localized endpoint, dislocation modes and the local Chern number. Finally, by stacking 1D projected Chern insulators, we showcase the imprints of three-dimensional Weyl semimetals in $d=2$, namely the Fermi arc surface states and bulk chiral zeroth Landau level, responsible for the chiral anomaly. Altogether, the proposed PTBs open a realistic avenue to harness higher-dimensional ($d>3$) topological phases in laboratory." @default.
- W4296205087 created "2022-09-18" @default.
- W4296205087 creator A5034162763 @default.
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- W4296205087 date "2022-09-16" @default.
- W4296205087 modified "2023-10-09" @default.
- W4296205087 title "Projected topological branes" @default.
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- W4296205087 doi "https://doi.org/10.1038/s42005-022-01006-x" @default.
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