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First-principle calculation of Chern number in gyrotropic photonic crystals

Zhao, R; Xie, G-D; Chen, MLN; Lan, Z; Huang, Z; Sha, WEI; (2020) First-principle calculation of Chern number in gyrotropic photonic crystals. Optics Express , 28 (4) pp. 4638-4649. 10.1364/OE.380077. Green open access

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Abstract

As an important figure of merit for characterizing the quantized collective behaviors of the wavefunction, Chern number is the topological invariant of quantum Hall insulators. Chern number also identifies the topological properties of the photonic topological insulators (PTIs), thus it is of crucial importance in PTI design. In this paper, we develop a first principle computatioal method for the Chern number of 2D gyrotropic photonic crystals (PCs), starting from the Maxwell's equations. Firstly, we solve the Hermitian generalized eigenvalue equation reformulated from the Maxwell's equations by using the full-wave finite-difference frequency-domain (FDFD) method. Then the Chern number is obtained by calculating the integral of Berry curvature over the first Brillouin zone. Numerical examples of both transverse-electric (TE) and transverse-magnetic (TM) modes are demonstrated, where convergent Chern numbers can be obtained using rather coarse grids, thus validating the efficiency and accuracy of the proposed method.

Type: Article
Title: First-principle calculation of Chern number in gyrotropic photonic crystals
Location: United States
Open access status: An open access version is available from UCL Discovery
DOI: 10.1364/OE.380077
Publisher version: https://doi.org/10.1364/OE.380077
Language: English
Additional information: © 2020 Optical Society of America under the terms of the OSA Open Access Publishing Agreement
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/10113246
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