ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

Projected topological branes

Panigrahi, A and Juricic, V and Roy, B (2022) Projected topological branes. In: Communications Physics, 5 (1).

com_phy_5-1_2022.pdf - Published Version

Download (2MB) | Preview
Official URL: https://doi.org/10.1038/s42005-022-01006-x


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.

Item Type: Journal Article
Publication: Communications Physics
Publisher: Nature Research
Additional Information: The copyright for this article belongs to Nature Research.
Keywords: Topology, High-dimensional; Higher-dimensional; Lattice Hamiltonians; Lattice periodicity; Localised; Low dimensional; One-dimensional; Project procedures; Topological invariants; Two-dimensional, Crystals
Department/Centre: Division of Biological Sciences > Centre for Ecological Sciences
Date Deposited: 13 Oct 2022 05:18
Last Modified: 13 Oct 2022 05:18
URI: https://eprints.iisc.ac.in/id/eprint/77277

Actions (login required)

View Item View Item