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physics.optics2025
Mathematical Theory for Photonic Hall Effect in Honeycomb Photonic Crystals
Wei Li, Junshan Lin, Jiayu Qiu +1
In this work, we develop a mathematical theory for the photonic Hall effect and prove the existence of guided electromagnetic waves at the interface of two honeycomb photonic cryst…
math-ph2025
Generalized bulk-interface correspondence for non-quantized spin transport
Jiayu Qiu, Hai Zhang
This paper establishes a rigorous mathematical framework for a generalized bulk-interface correspondence (BIC) in electronic systems with possibly nonconserved spin charge, where t…
math-ph2025
Bulk-edge correspondence in finite photonic structure
Jiayu Qiu, Hai Zhang
In this work, we establish the bulk-edge correspondence principle for finite two-dimensional photonic structures. Specifically, we focus on the divergence-form operator with period…