Discrete flat-band solitons in the Kagome lattice

TL;DR

This paper investigates localized discrete solitons in a two-dimensional Kagome lattice with defocusing nonlinearity, revealing bifurcations from flat band modes, and demonstrates controllable switching between different localized states.

Contribution

It introduces the existence of flat-band solitons in a Kagome lattice with defocusing nonlinearity and explores their bifurcation, stability, and controllability.

Findings

Localized solitons bifurcate from flat band modes

Small perturbations enable switching between soliton states

Symmetry-broken states can spontaneously emerge at low power

Abstract

We consider a model for a two-dimensional Kagome-lattice with defocusing nonlinearity, and show that families of localized discrete solitons may bifurcate from localized linear modes of the flat band with zero power threshold. Each family of such fundamental nonlinear modes corresponds to a unique configuration in the strong-nonlinearity limit. By choosing well-tuned dynamical perturbations, small-amplitude, strongly localized solutions from different families may be switched into each other, as well as moved between different lattice positions. In a window of small power, the lowest-energy state is a symmetry-broken localized state, which may appear spontaneously.