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  • Letter
  • Open Access

Berry bands and pseudo-spin of topological photonic phases

Samuel J. Palmer1,* and Vincenzo Giannini2,3,†

  • 1The Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom
  • 2Instituto de Estructura de la Materia (IEM), Consejo Superior de Investigaciones Científicas (CSIC), Serrano 121, 28006 Madrid, Spain
  • 3Technology Innovation Institute, Masdar City, Abu Dhabi, United Arab Emirates

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Phys. Rev. Research 3, L022013 – Published 18 May, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L022013

Abstract

Realizing photonic analogs of the robust, unidirectional edge states of electronic topological insulators would improve our control of light on the nanoscale and revolutionize the performance of photonic devices. Here, we show that new symmetry-protected topological phases can be detected by reformulating energy eigenproblems as Berry curvature eigenproblems. The “Berry bands” span the same eigenspace as the original valence energy bands, but separate into pseudo-spinful and pseudo-spinless subspaces in C2T-symmetric crystals. We demonstrate the method on the well-known case of Wu and Hu [Phys. Rev. Lett. 114, 223901 (2015)] and a recently discovered fragilely topological crystal, and show that both crystals belong to the same photonic analog of the quantum spin-Hall effect. This work helps unite theory and numerics, and is useful in defining and identifying new symmetry-protected phases in photonics and electronics.

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Outline

Information

Phys. Rev. Research 3, L022013– Published 18 May, 2021
  • Received 18 September 2020
  • Revised 27 March 2021
  • Accepted 31 March 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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