Discrete Breathers in magnetic metamaterials in one and two dimensions.

We study the formation, stability as well as mobility of discrete breathers (DBs) in magnetic metamaterials in one and two dimensions. Magnetic metamaterials consisted by split ring resonators (SRRs) exhibit large magnetic response at Terahertz and optical frequencies. We use nonlinear arrays of SRRs where DBs arise as a result of the nonlinearity and discreteness. We consider different geometries of SRRs in both dimensions and find several different types of Hamiltonian nonlinear excitations such as dark, single-site and multibreathers. We also consider the dissipative version of the problem where DBs are formed as well. In the latter case, DBs locally alter the paramagnetic character of MMs to a diamagnetic.