Unveiling Topological Modes on Curved Surfaces
Mesoscale and Nanoscale Physics
2023-08-21 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2305.09728,
title = {Unveiling Topological Modes on Curved Surfaces},
author = {Dmitry S. Ageev and Askar A. Iliasov},
journal= {arXiv preprint arXiv:2305.09728},
year = {2023}
}
Comments
v1:20 pages; v2: 24 pages, results are generalized, presentation improved