Discrete breathers in an one-dimensional array of magnetic dots

Abstract

The dynamics of the one-dimensional array of magnetic particles (dots) with the easy-plane anisotropy is investigated. The particles interact with each other via the magnetic dipole interaction and the whole system is governed by the set of Landau-Lifshitz equations. The spatially localized and time-periodic solutions known as discrete breathers (or intrinsic localized modes) are identified. These solutions have no analogue in the continuum limit and consist of the core where the magnetization vectors precess around the hard axis and the tails where the magnetization vectors oscillate around the equilibrium position.

Dark discrete breather modes in monoaxial chiral helimagnet with easy-plane anisotropy

“…A similar situation was dealt in Ref. 29 where magnetic dots with a strong easy-plane anisotropy are coupled by weak magnetic dipole interaction. In contrast, our treatment is targeted at search of DB solutions for the case when exchange coupling between the nearest moments is much larger than on-site magnetic anisotropy.…”

“…Recently, formation of discrete breathers has been analyzed for weak ferromagnetic chains where the presence of the Dzyaloshinskii-Moriya (DM) interaction leads to a small canting between the interacting moments 27,28 . The DB solutions have been examined in dynamics of the 1D array of magnetic particles (dots) with the easy-plane anisotropy and interparticle magnetic dipole interaction 29 . Most of realistic discrete systems may be reformulated for appropriate continuous media that often provide an adequate description of nonlinear properties and, in some cases, analytical expressions in closed form may be derived 1,[30][31][32][33] .…”