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Proceedings Paper

The algebraic geometry of photonic topological insulators
Author(s): Didier Felbacq
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Paper Abstract

Topological insulators are generally characterized by means of integral invariants defined using cocycles over the Bloch bundle (e.g.: Chern or Stiefel characteristic classes). In the case of photonic topological insulators made of continuous media, I will show that the invariants result from the consideration of a projective algebraic curve (the spectral curve) and of the bundle of eigenvectors over it. The main result is that photonic Chern insulators do not exist in continuous media

Paper Details

Date Published: 5 September 2019
PDF: 6 pages
Proc. SPIE 11080, Metamaterials, Metadevices, and Metasystems 2019, 110800O (5 September 2019); doi: 10.1117/12.2528859
Show Author Affiliations
Didier Felbacq, L2C, Univ. Montpellier (France)

Published in SPIE Proceedings Vol. 11080:
Metamaterials, Metadevices, and Metasystems 2019
Nader Engheta; Mikhail A. Noginov; Nikolay I. Zheludev, Editor(s)

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