Ring Dirac solitons in nonlinear topological systems

被引:28
作者
Poddubny, Alexander N. [1 ,2 ]
Smirnova, Daria A. [1 ,3 ]
机构
[1] Australian Natl Univ, Nonlinear Phys Ctr, Canberra, ACT 2601, Australia
[2] Ioffe Inst, St Petersburg 194021, Russia
[3] Russian Acad Sci, Inst Appl Phys, Nizhnii Novgorod 603950, Russia
基金
俄罗斯基础研究基金会; 澳大利亚研究理事会;
关键词
FIELD; STABILITY; EQUATION;
D O I
10.1103/PhysRevA.98.013827
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
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.
引用
收藏
页数:7
相关论文
共 50 条
[21]   Nonlinear control of M-typed solitons in dispersion management systems [J].
Luan, Zitong ;
Yan, Qiang ;
Zhou, Qin ;
Liu, Wenjun .
OPTIK, 2019, 179 :624-627
[22]   Discrete nonlocal nonlinear Schrodinger systems: Integrability, inverse scattering and solitons [J].
Ablowitz, Mark J. ;
Luo, Xu-Dan ;
Musslimani, Ziad H. .
NONLINEARITY, 2020, 33 (07) :3653-3707
[23]   MULTIPLE SOLUTIONS TO THE NONLINEAR DIRAC SYSTEMS ON COMPACT SPIN MANIFOLDS WITH BOUNDARY [J].
Dong, Xiaojing ;
Tang, Zhongwei ;
Zhang, Xiaojing .
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2025, 24 (04) :535-558
[24]   Nonparaxial solitons and the dynamics of solitary waves for the coupled nonlinear Helmholtz systems [J].
Qian, Yufeng ;
Manafian, Jalil ;
Asiri, Mohammed ;
Mahmoud, Khaled Hussein ;
Alanssari, Ali Ihsan ;
Alsubaie, Abdullah Saad .
OPTICAL AND QUANTUM ELECTRONICS, 2023, 55 (11)
[25]   Nonlinear tunneling of nonautonomous optical solitons in combined nonlinear Schrodinger and Maxwell-Bloch systems [J].
Rajan, M. S. Mani ;
Mahalingam, A. ;
Uthayakumar, A. .
JOURNAL OF OPTICS, 2012, 14 (10)
[26]   Dissipative ring solitons with vorticity [J].
Soto-Crespo, J. M. ;
Akhmediev, N. ;
Mejia-Cortes, C. ;
Devine, N. .
OPTICS EXPRESS, 2009, 17 (06) :4236-4250
[27]   Truncated-Bloch-wave solitons in nonlinear fractional periodic systems [J].
Dong, Liangwei ;
Tian, Zhaoxia .
ANNALS OF PHYSICS, 2019, 404 :57-65
[28]   Klein tunneling of Dirac solitons in binary waveguide arrays [J].
Quang Nguyen-The ;
Tran, Truong X. .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2020, 37 (06) :1911-1920
[29]   Solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity [J].
Cooper, Fred ;
Khare, Avinash ;
Mihaila, Bogdan ;
Saxena, Avadh .
PHYSICAL REVIEW E, 2010, 82 (03)
[30]   Dirac light bullets in nonlinear binary waveguide arrays [J].
Tran, Truong X. ;
Duong, Dung C. .
CHAOS, 2018, 28 (01)