6 papers
Robustness of Valley-Hall Interface Modes Against Sharp Bending
Habib Ammari, Jiayu Qiu
It is well known that band inversion across a straight interface in a periodic medium gives rise to interface modes that are localized near the interface and propagate along it ins…
Symmetry-protected Interface Modes Bifurcated from Double Dirac Cones
Habib Ammari, Jiayu Qiu
We rigorously prove the existence of interface modes in a sharp interface model, which bifurcate from the double Dirac cone as a consequence of the band inversion induced by super-…
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…
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…
On the bifurcation of a Dirac point in a photonic waveguide without band gap openning
Jiayu Qiu, Hai Zhang
Recent progress in topological insulators and topological phases of matter has motivated new methods for the localization of waves in photonic structures. Especially, it is establi…
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…