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math-ph2025
Edge states in square lattice media and their deformations
Jonah Chaban, Jeremy L. Marzuola, Michael I. Weinstein
Edge states are time-harmonic solutions of conservative wave systems which are plane wave-like parallel to and localized transverse to an interface between two bulk media. We study…
math-ph2024
Instability of quadratic band degeneracies and the emergence of Dirac points
Jonah Chaban, Michael I. Weinstein
Consider the Schrödinger operator , where the potential is real, -periodic, and additionally invariant under the symmetry group of the square. We show…