Band theory and boundary modes of high-dimensional representations of infinite hyperbolic lattices

Periodic lattices in hyperbolic space are characterized by symmetries beyond Euclidean crystallographic groups, offering a new platform for classical and quantum waves, demonstrating great potentials for a new class of topological metamaterials. One important feature of hyperbolic lattices is that t...

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Veröffentlicht in:	arXiv.org 2022-03
Hauptverfasser:	Cheng, Nan, Serafin, Francesco, McInerney, James, Rocklin, Zeb, Sun, Kai, Mao, Xiaoming
Format:	Artikel
Sprache:	eng
Schlagworte:	Band theory Crystal lattices Crystallography Eigenvectors Euclidean geometry Hyperbolic coordinates Lattice vibration Mathematics - Mathematical Physics Metamaterials Physics - Mathematical Physics Physics - Mesoscale and Nanoscale Physics Physics - Soft Condensed Matter Physics - Strongly Correlated Electrons Representations
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