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Applied and Computational Math Seminar

Pseudo-magnetism and Landau Levels in Deformed Photonic Honeycomb Structures

Michael I. Weinstein, Columbia / IAS / Princeton

Location:  Hill 705
Date & time: Wednesday, 27 March 2024 at 11:00AM - 12:00PM

A non-uniform deformation of a honeycomb medium induces effective-magnetic and effective electric fields.
One may choose a deformation which gives rise to a constant perpendicular effective magnetic field with Landau-level spectrum (flat bands / high density of states), and hence a mechanism to produce strong light-matter interactions. In contrast to the setting of graphene, in condensed matter physics, for photonic crystals the tight binding (discrete) model is generally not applicable. I will present a continuum (homogenized / PDE) theory (joint work with J. Guglielmon and M. Rechtsman - Phys. Rev. A 103 2021), and then discuss very recent experimental confirmation of this theory (Barsukova et al. Nature Photonics, to appear). I will incorporate rigorous and formal asymptotic mathematical results throughout.

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