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Calculation of the Berry curvature and Chern number of topological photonic crystals

  • Original Paper - Atoms, Molecules and Optics
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A Publisher Erratum to this article was published on 19 July 2022

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Abstract

In this paper, numerical calculations of the Berry curvature and Chern number of two types of two-dimensional photonic crystals consisting isotropic dielectric and anisotropic magneto-optical, gyromagnetic, rods in air in a square lattice are studied. The Chern number, an integer number, is a key parameter to distinguish between trivial and non-trivial photonic crystals. Trivial and non-trivial photonic crystals reveal zero and non-zero Chern numbers. A non-zero Chern number is achieved through the breaking of time-reversal and inversion symmetries. The results for two-dimensional photonic crystals containing isotropic dielectric and gyromagnetic materials under TM mode illustrate zero and 0, 1, -2, and -1 Chern numbers for the first four bands, respectively. The creation of non-zero Chern numbers brings a new way of designing one-way, robust to arbitrary disorder, and zero back-reflection photonic components

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Acknowledgements

We wish to acknowledge the financial support from the BK21 FOUR program and Educational Institute for Intelligent Information Integration, Samsung Electronics Co., Ltd (IO201211-08121-01), and Samsung Science and Technology Foundation (SRFC-TC2103-01).

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Authors and Affiliations

  1. Department of Electrical Engineering, Pohang University of Science and Technology (POSTECH), 37673, Pohang, Republic of Korea

    Kiyanoush Goudarzi & Moonjoo Lee

  2. Institut für Festkörperphysik, Leibniz Universität Hannover, Hannover, Germany

    Hatef Ghannadi Maragheh

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  1. Kiyanoush Goudarzi
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  2. Hatef Ghannadi Maragheh
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  3. Moonjoo Lee
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Correspondence to Kiyanoush Goudarzi or Moonjoo Lee.

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The original online version of this article was revised: The affiliations were incorrectly assigned and should be as follows: Kiyanoush Goudarzi 1 · Hatef Ghannadi Maragheh 2 · Moonjoo Lee 1. 1 Department of Electrical Engineering, Pohang University of Science and Technology (POSTECH), 37673 Pohang, Republic of Korea. 2 Institut für Festkörperphysik, Leibniz Universität Hannover, Hannover, Germany.

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Goudarzi, K., Maragheh, H.G. & Lee, M. Calculation of the Berry curvature and Chern number of topological photonic crystals. J. Korean Phys. Soc. 81, 386–390 (2022). https://doi.org/10.1007/s40042-022-00530-x

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  • DOI: https://doi.org/10.1007/s40042-022-00530-x

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