7 papers · 1 filter
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-…
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…
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…
Interface Modes in Honeycomb Topological Photonic Structures with Broken Reflection Symmetry
Wei Li, Junshan Lin, Jiayu Qiu +1
In this work, we present a mathematical theory for Dirac points and interface modes in honeycomb topological photonic structures consisting of impenetrable obstacles. Starting from…
A Mathematical Theory of Integer Quantum Hall Effect in Photonics
Jiayu Qiu, Hai Zhang
This paper investigates interface modes in a square lattice of photonic crystal composed of gyromagnetic particles with point group symmetry. The study shows that Dirac or…