Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session M10: Metamaterials and Hyperbolic Lattices
8:00 AM–10:36 AM,
Wednesday, March 6, 2024
Room: M100A
Sponsoring
Unit:
DCMP
Chair: Ufuk Kilic
Abstract: M10.00010 : HyperCells and HyperBloch: open-source software packages for studying hyperbolic lattices based on triangle groups
9:48 AM–10:00 AM
Presenter:
Patrick M Lenggenhager
(Max Planck Institute for the Physics of Complex Systems)
Authors:
Patrick M Lenggenhager
(Max Planck Institute for the Physics of Complex Systems)
Tomáš Bzdušek
(Paul Scherrer Institute)
Joseph Maciejko
(University of Alberta)
In this talk, I am going to introduce two recently released open source software packages, called HyperCells and HyperBloch, which provide convenient tools to construct connected and symmetric unit cells, including the associated translations, define arbitrary tight-binding models on them, and apply the recently developed supercell method for hyperbolic band theory to gain access at infinite-lattice eigenstates and -energies. The construction is based on an algebraic description of the lattice in terms of the corresponding triangle group, which facilitates a discussion of not only the translation symmetry but point-group symmetries as well. I will illustrate the scope and usage of both packages by discussing several examples and showing some recent results obtained using them.
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