Unveiling Topological Modes on Curved Surfaces

Dmitry S. Ageev; Askar A. Iliasov

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arXiv · 2305.09728

Unveiling Topological Modes on Curved Surfaces

Dmitry S. Ageev·Askar A. Iliasov

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Abstract

In this paper, we investigate topological modes of different physical systems defined on arbitrary two-dimensional curved surfaces. We consider the shallow water equations, inhomogeneous Maxwell's equations, Jackiw-Rebbi model and show how the topological protection mechanism responses to the presence of curvature in different situations. We show the existence of a line gap in the considered models and study the condition on the curve which can host topological modes.

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Dmitry S. Ageev, Askar A. Iliasov. 2023-05-16. Unveiling Topological Modes on Curved Surfaces. https://arxiv.org/abs/2305.09728

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