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arXiv · 2606.16419

Edge modes generated by intersection between 3 energy bands

Clotilde Fermanian Kammerer·Nicolas Frantz
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Abstract

In this contribution, we investigate 2-dimensional model problems of three coupled equations. We assume that the underlying Hamiltonian presents a symmetric intersection between three eigenvalues of Dirac's type with a mass function that vanish along a curve. We investigate the existence of edge modes for these models: such functions are solutions of the semiclassical associated evolution problem that are asymptotic to a coherent state with zero energy and break the correspondence principle by propagating inside the crossing set and not along a classical trajectory.

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Clotilde Fermanian Kammerer, Nicolas Frantz. 2026-06-15. Edge modes generated by intersection between 3 energy bands. https://arxiv.org/abs/2606.16419

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