期刊
COMMUNICATIONS PHYSICS
卷 5, 期 1, 页码 -出版社
NATURE PORTFOLIO
DOI: 10.1038/s42005-022-01006-x
关键词
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资金
- KVPY program
- Swedish Research Council [VR 2019-04735]
- Lehigh University
- Nordforsk
- Vinnova [2019-04735] Funding Source: Vinnova
- Swedish Research Council [2019-04735] Funding Source: Swedish Research Council
The authors introduce a new class of topological materials called projected topological branes, which are holographic images of higher-dimensional topological crystals and exhibit either crystal or aperiodic quasicrystalline structures. These materials inherit the bulk-boundary and bulk-lattice defect correspondences from the parent crystals and provide a realistic approach to harness four and higher-dimensional topological crystals in the three-dimensional world.
Nature harbors crystals of dimensionality (d) only up to three. Here we introduce the notion of 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 and 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 modes, 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. Authors introduce a new class of topological materials, namely projected topological branes that are holographic images of higher-dimensional topological crystals, and feature either emergent crystalline or aperiodic quasicrystalline order. They manifest bulk-boundary and bulk-lattice defect correspondences of parent crystals and open a realistic route to harness four and higher-dimensional topological crystals in three-dimensional world.
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