Unveiling Topological Modes on Curved Surfaces

التفاصيل البيبلوغرافية
العنوان: Unveiling Topological Modes on Curved Surfaces
المؤلفون: Ageev, Dmitry S., Iliasov, Askar A.
سنة النشر: 2023
المجموعة: Mathematics
Condensed Matter
High Energy Physics - Theory
Mathematical Physics
مصطلحات موضوعية: Condensed Matter - Mesoscale and Nanoscale Physics, High Energy Physics - Theory, Mathematical Physics
الوصف: 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.
Comment: v1:20 pages; v2: 24 pages, results are generalized, presentation improved
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2305.09728
رقم الأكسشن: edsarx.2305.09728
قاعدة البيانات: arXiv