Dynamics of waves in continuum honeycomb structures (Wednesday Seminar)

Dynamics of waves in continuum honeycomb structures (Wednesday Seminar)

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Michael I. Weinstein, Columbia University
TBD

Please note that this seminar will take place online via Zoom. You can connect to this seminar via the following link:

https://princeton.zoom.us/j/514560553

We overview results on the dynamics of waves (eg Schroedinger and Maxwell equations) in continuum honeycomb structures and their deformations.  We study phenomena which arise from the presence of Dirac (conical) points in the bulk band structure. These include the existence of robust edge states, which localize along zigzag sharp terminations, 
and along general “rational” domain walls. Finally we discuss the emergence of pseudo-magnetic fields in non-uniformly deformed honeycomb structures. Our asymptotic theory applies in settings where there is no tight-binding regime. We apply these results to a predict Landau-like energy levels in photonic crystals, and discuss numerical confirmation.