Surface magnetoinductive breathers in two-dimensional magnetic metamaterials

TL;DR

This paper investigates discrete surface breathers in 2D magnetic metamaterials, revealing their lower energy and greater stability at edges and corners compared to bulk modes in both Hamiltonian and dissipative systems.

Contribution

It introduces the analysis of surface breathers in 2D magnetic metamaterials, highlighting their unique stability and energy properties in Hamiltonian and dissipative regimes.

Findings

Surface breathers have lower energy than bulk modes.

Surface breathers are more stable than bulk modes.

Surface breathers are localized at edges and corners.

Abstract

We study discrete surface breathers in two-dimensional lattices of inductively-coupled split-ring resonators with capacitive nonlinearity. We consider both Hamiltonian and dissipative systems and analyze the properties of the modes localized in space and periodic in time (discrete breathers) located in the corners and at the edges of the lattice. We find that surface breathers in the Hamiltonian systems have lower energy than their bulk counterparts, and they are generally more stable.