Chaos in the band structure of a soft Sinai lattice

We study the effect of broken spatial and dynamical symmetries on the band structure of two lattices with unit cells that are soft versions of the classic Sinai billiard. We find significant signatures of chaos in the band structure of these lattices, in energy regimes where the underlying classical...

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Bibliographic Details
Published in:Physical review. E 2017-05, Vol.95 (5-1), p.052213-052213, Article 052213
Main Authors: Porter, Max D, Barr, Aaron, Barr, Ariel, Reichl, L E
Format: Article
Language:English
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Summary:We study the effect of broken spatial and dynamical symmetries on the band structure of two lattices with unit cells that are soft versions of the classic Sinai billiard. We find significant signatures of chaos in the band structure of these lattices, in energy regimes where the underlying classical unit cell undergoes a transition to chaos. Broken dynamical symmetries and the presence of chaos can diminish the feasibility of changing and controlling band structure in a wide variety of two-dimensional lattice-based devices, including two-dimensional solids, optical lattices, and photonic crystals.
ISSN:2470-0045
2470-0053
DOI:10.1103/PhysRevE.95.052213