Discrete breathers in nonlinear magnetic metamaterials

TL;DR

This paper investigates discrete breather excitations in nonlinear magnetic metamaterials composed of split-ring resonators, analyzing their formation, properties, and potential for localized magnetic effects in THz and optical frequencies.

Contribution

It introduces a model for one-dimensional nonlinear magnetic metamaterials and explores the existence, characteristics, and dynamics of discrete breathers within this system.

Findings

Discrete breathers can form in nonlinear magnetic metamaterials.

Breathers exhibit mobility and can create magnetization domain walls.

The study characterizes both energy-conserved and dissipative breather states.

Abstract

Magnetic metamaterials composed of split-ring resonators or $U-$type elements may exhibit discreteness effects in THz and optical frequencies due to weak coupling. We consider a model one-dimensional metamaterial formed by a discrete array of nonlinear split-ring resonators with each ring interacting with its nearest neighbours. On-site nonlinearity and weak coupling among the individual array elements result in the appearence of discrete breather excitations or intrinsic localized modes, both in the energy-conserved and the dissipative system. We analyze discrete single and multibreather excitations, as well as a special breather configuration forming a magnetization domain wall and investigate their mobility and the magnetic properties their presence induces in the system.