Ring Dirac Solitons in Nonlinear Topological Lattices

2018/05/10 by Alexander N. Poddubny, Daria A. Smirnova · 2 citations
Physics and Astronomy · #cond-mat.mtrl-sci #nlin.PS #physics.optics

paper · pdf · doi:10.1103/physreva.98.013827

published as Phys. Rev. A 98, 013827 (2018) · 7 pages, 4 figures

arxiv created 2018/05/10 · arxiv updated 2018/07/25

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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