# Projected topological branes

@article{Panigrahi2021ProjectedTB, title={Projected topological branes}, author={Archisman Panigrahi and Vladimir Juri{\vc}i{\'c} and Bitan Roy}, journal={Communications Physics}, year={2021}, volume={5}, pages={1-9} }

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…

## One Citation

### Are atomic insulators distinguishable?

- Physics
- 2022

Topological classiﬁcation of quantum solids often (if not always) groups all trivial atomic or normal insulators (NIs) into the same featureless family. As we argue here, this is not necessarily the…

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