The effect of the magnetic field on the stability and excitation spectrum of spin nanoclusters in anisotropic ferromagnetic chains

This article investigates the dynamic properties of two-dimensional nonlinear magnetic metamaterials consisting of nanoscale elements. The authors propose a model for a two-dimensional lattice of capacitively and inductively coupled split rectangular nanoresonators. It has been shown that the long-wave dynamics of this two-dimensional lattice are described by a regularized two-dimensional nonlinear Klein–Gordon equation, which has been solved in the form of two sequences of two-dimensional dynamic solitons on a pedestal of homogeneous forced oscillations, using an asymptotic method and taking into account the action of electromotive force (EMF) induced by an electromagnetic wave. The authors have calculated a diamagnetic response to an electromagnetic field in the terahertz range in the metamaterial region, where a breather is excited and oscillates in antiphase to a homogeneous background. The evolution of long-lived metastable breathers has been numerically studied, and two scenarios – collapse and decay – have been established for the development of their instability depending on the parameters of the induced EMF and inductive coupling between nanoresonators. It has been found that at the boundary between these scenarios, the final result of the transformation of the breathers is the chimera state of the metamaterial with a large-amplitude breather that generates stochastic waves.

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Metastable breathers and local diamagnetism in two-dimensional nonlinear metamaterials

Charkina

Bogdan

2020

Low Temperature Physics

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Nonlinear oscillations of topological structures in the sine-Gordon systems

Bogdan

Charkina

2021

Low Temperature Physics

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The nonlinear effect of the energy localization on topological inhomogeneities is investigated in the sine-Gordon systems. The regimes of nonlinear oscillations of nonequilibrium configurations of domain walls in the quasi-one-dimensional ferromagnet are described in terms of kink and breather solutions of the sine-Gordon equation. The conditions of the energy localization, i.e., the formation of breather excitations on these topological inhomogeneities, are found for the initial configurations of the dilated double kink structures. The results are obtained in the framework of the Schrödinger-type equation of the direct scattering problem associated with the sine-Gordon equation. It is shown that the final state of the evolution of the nonequilibrium topological spin structure represents the multi-frequency precessing domain wall in the ferromagnet, which radiates the continuous spectrum waves.

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Structural transformation of spin nanoclusters in low-dimensional anisotropic ferromagnets under applied magnetic field

Charkina

Belan

Bogdan

2021

Low Temperature Physics

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Noncollinear discrete domain walls in the Heisenberg anisotropic ferromagnetic chain under applied magnetic field and their small excitation spectra are studied analytically and numerically in the framework of the Takeno-Homma equation. The intersecting frequency dependences of localized excitations and continuous spectrum oscillations and the removal of the degeneracy by the magnetic field are revealed. The variational approach is proposed to describe the domain walls and to investigate their stability. It is shown that the obtained analytical expressions fit very well the numerical solutions. The total energy of static discrete domain walls and the Peierls energy barrier between them are found explicitly. The stability diagram for noncollinear domain walls on the plane of parameters of the exchange and the magnetic field is calculated, and it looks like the alternating stripes structure of stability regions of the bond-centered and site-centered discrete domain walls. This diagram feature is explained by the oscillating dependence of the Peierls energy barrier on the exchange and the magnetic field parameters.

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The effect of the magnetic field on the stability and excitation spectrum of spin nanoclusters in anisotropic ferromagnetic chains

Cited by 3 publications

References 16 publications

Metastable breathers and local diamagnetism in two-dimensional nonlinear metamaterials

Metastable breathers and local diamagnetism in two-dimensional nonlinear metamaterials

Nonlinear oscillations of topological structures in the sine-Gordon systems

Structural transformation of spin nanoclusters in low-dimensional anisotropic ferromagnets under applied magnetic field

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