Chiral edge soliton in nonlinear Chern systems

Abstract

We study the effect on the chiral edge states by including a nonlinearity to a Chern insulator which has two chiral edge states with opposite chiralities. We explore a quench dynamics by giving a pulse to one site on an edge and analyzing the time evolution of a wave packet. Without the nonlinearity, an initial pulse spreads symmetrically and diffuses. On the other hand, with the nonlinearity present, a solitary wave is formed by the self-trapping effect of the nonlinear term and undergoes a unidirectional propagation along the edge, which we identify as a chiral edge soliton. A further increase of the nonlinearity induces a self-trapping transition, where the chiral wave packet stops its motion. It is intriguing that the nonlinearity is controlled only by changing the initial condition without changing a sample.

5 pages, 6 figures

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Cited by in corpus (7)

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• Bulk-edge correspondence for nonlinear eigenvalue problems
• Topologically protected dynamics in three-dimensional nonlinear antisymmetric Lotka-Volterra systems
• Observation of edge solitons and transitions between them in a trimer circuit lattice
• Fractional Thouless pumping of solitons: a unique manifestation of bulk-edge correspondence of nonlinear eigenvalue problems
• Non-Linear Interference Challenging Topological Protection of Chiral Edge States
• Dark solitons in nonlinear Su-Schrieffer-Heeger lattices