Theoretical description of a photonic topological insulator based on a cubic lattice of bianisotropic resonators

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Autori principali: Rozenblit, Alina, Olekhno, Nikita
Natura: Preprint
Pubblicazione: 2026
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author Rozenblit, Alina
Olekhno, Nikita
author_facet Rozenblit, Alina
Olekhno, Nikita
contents In the present paper, we construct a theoretical description of a three-dimensional photonic topological insulator in the form of a simple cubic lattice of bianisotropic resonators that is based on a dyadic Green's function approach. By considering electric and magnetic dipole modes and the interactions between different numbers of the nearest resonators, we obtain the Bloch Hamiltonians and the corresponding tight-binding models and analyze the band diagrams, spatial structure of the eigenmodes, and their localization, revealing quadratic degeneracies in the vicinity of high-symmetry points in the absence of bianisotropy and the emergence of in-gap states localized at a domain wall upon the introduction of bianisotropy. Finally, we visualize the Berry curvature distributions to study the topological properties of the considered models.
format Preprint
id arxiv_https___arxiv_org_abs_2602_12179
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Theoretical description of a photonic topological insulator based on a cubic lattice of bianisotropic resonators
Rozenblit, Alina
Olekhno, Nikita
Optics
Mesoscale and Nanoscale Physics
Classical Physics
In the present paper, we construct a theoretical description of a three-dimensional photonic topological insulator in the form of a simple cubic lattice of bianisotropic resonators that is based on a dyadic Green's function approach. By considering electric and magnetic dipole modes and the interactions between different numbers of the nearest resonators, we obtain the Bloch Hamiltonians and the corresponding tight-binding models and analyze the band diagrams, spatial structure of the eigenmodes, and their localization, revealing quadratic degeneracies in the vicinity of high-symmetry points in the absence of bianisotropy and the emergence of in-gap states localized at a domain wall upon the introduction of bianisotropy. Finally, we visualize the Berry curvature distributions to study the topological properties of the considered models.
title Theoretical description of a photonic topological insulator based on a cubic lattice of bianisotropic resonators
topic Optics
Mesoscale and Nanoscale Physics
Classical Physics
url https://arxiv.org/abs/2602.12179