Ring Dirac Solitons in Nonlinear Topological Lattices

TL;DR

This paper investigates ring-shaped solitons in a nonlinear Dirac system, demonstrating how specific nonlinear tuning can localize spinor components on a ring, with potential applications in nonlinear photonic topological systems.

Contribution

It introduces a novel class of ring Dirac solitons in nonlinear topological lattices, highlighting their formation and potential physical realization.

Findings

Ring Dirac solitons can be localized on a specific radius.

Nonlinear parameters enable control over soliton localization.

Potential implementation in nonlinear photonic graphene.

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.