Ring Dirac solitons in nonlinear topological systems

Alexander N. Poddubny and Daria A. Smirnova
Phys. Rev. A 98, 013827 – Published 16 July 2018

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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  • Received 15 May 2018

DOI:https://doi.org/10.1103/PhysRevA.98.013827

©2018 American Physical Society

Physics Subject Headings (PhySH)

General PhysicsAtomic, Molecular & OpticalInterdisciplinary Physics

Authors & Affiliations

Alexander N. Poddubny1,2,* and Daria A. Smirnova1,3

  • 1Nonlinear Physics Centre, Australian National University, Canberra ACT 2601, Australia
  • 2Ioffe Institute, St. Petersburg 194021, Russia
  • 3Institute of Applied Physics, Russian Academy of Science, Nizhny Novgorod 603950, Russia

  • *poddubny@coherent.ioffe.ru

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Vol. 98, Iss. 1 — July 2018

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