The algebraic geometry of photonic topological insulators

Didier Felbacq

doi:10.1117/12.2528859

5 September 2019 The algebraic geometry of photonic topological insulators

Didier Felbacq

Proceedings Volume 11080, Metamaterials, Metadevices, and Metasystems 2019; 110800O (2019) https://doi.org/10.1117/12.2528859
Event: SPIE Nanoscience + Engineering, 2019, San Diego, California, United States

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

Conference Presentation

Citation Download Citation

Didier Felbacq "The algebraic geometry of photonic topological insulators", Proc. SPIE 11080, Metamaterials, Metadevices, and Metasystems 2019, 110800O (5 September 2019); https://doi.org/10.1117/12.2528859

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