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arXiv · 1805.03819

Ring Dirac Solitons in Nonlinear Topological Lattices

Alexander N. Poddubny·Daria A. Smirnova
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Abstract

We study solitons of the two-dimensional nonlinear Dirac equation with asymmetric cubic nonlinearity. We show that, with the nonlinearity parameters specifically tuned, a high degree of localization of both spinor components is enabled on a ring of certain radius. Such ring Dirac soliton can be viewed as a self-induced nonlinear domain wall and can be implemented in nonlinear photonic graphene lattice with Kerr-like nonlinearities. Our model could be instructive for understanding localization mechanisms in nonlinear topological systems.

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Alexander N. Poddubny, Daria A. Smirnova. 2018-05-10. Ring Dirac Solitons in Nonlinear Topological Lattices. https://doi.org/10.1103/physreva.98.013827

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