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We calculate the magnon modes in the presence of a vortex in a circular system, combining analytical calculations in the continuum limit with a numerical diagonalization of the discrete system. The magnon modes are expressed by the S-matrix…

Materials Science · Physics 2013-05-08 B. A. Ivanov , H. J. Schnitzer , F. G. Mertens , G. M. Wysin

It is studied the scattering of magnons by the 2d topological Belavin-Polyakov soliton in isotropic ferromagnet. Analytical solutions of the scattering problem are constructed: (i) exactly for any magnon wave vectors for the partial wave…

Strongly Correlated Electrons · Physics 2009-10-31 Boris A. Ivanov , Vladimir M. Muravyov , Denis D. Sheka

In this thesis, we consider the dynamics of vortices in the easy plane insulating ferromagnet in two dimensions. In addition to the quasiparticle excitations, here spin waves or magnons, this magnetic system admits a family of vortex…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Lara Thompson

We study the magnon modes in the presence of a topological soliton in a 2d Heisenberg easy-axis ferromagnet. The problem of magnon scattering on the soliton with arbitrary relation between the soliton radius R and the "magnetic length"…

Strongly Correlated Electrons · Physics 2009-11-07 Denis D. Sheka , Boris A. Ivanov , Franz G. Mertens

We present an experimental and numerical study of three-magnon splitting in a micrometer-sized magnetic disk with the vortex state strongly deformed by static in-plane magnetic fields. Excited with a large enough power at frequency…

Mesoscale and Nanoscale Physics · Physics 2023-03-08 Lukas Körber , Christopher Heins , Ivan Soldatov , Rudolf Schäfer , Attila Kákay , Helmut Schultheiss , Katrin Schultheiss

We study the magnon spectrum in a thin ferromagnetic-superconductor heterostructure in the presence of a single superconducting vortex. We employ the Bogolubov-de Gennes Hamiltonian which describes the magnons in the presence of the stray…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 D. S. Katkov , S. S. Apostoloff , I. S. Burmistrov

We determine the transition amplitude for multi-magnon scattering induced through an inhomogeneous distribution of the coupling constant in the ferromagnetic XXX-model. The two and three particle amplitudes are explicitely calculated at…

Statistical Mechanics · Physics 2009-10-30 T. -D. Albert , R. Flume , K. Ruhlig

Vortex-antivortex pairs in 2D easy-plane ferromagnets have characteristics of solitons in two dimensions. We investigate numerically and analytically the dynamics of such vortex pairs. In particular we simulate numerically the head-on…

Condensed Matter · Physics 2009-11-07 A. S. Kovalev , S. Komineas , F. G. Mertens

The magnetization in a magnetic microdot made from soft magnetic materials can have a vortex-like ground state structure resulting from competition between the exchange and dipolar interactions. Normal mode magnon frequencies for such dots…

Materials Science · Physics 2009-11-07 B. A. Ivanov , C. E. Zaspel

Magnons are elementary excitations in magnetic materials and undergo nonlinear multimode scattering processes at large input powers. In experiments and simulations, we show that the interaction between magnon modes of a confined magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-08-02 Lukas Körber , Christopher Heins , Tobias Hula , Joo-Von Kim , Helmut Schultheiss , Jürgen Fassbender , Katrin Schultheiss

Soft magnetic dots in the form of thin rings have unique topological properties. They can be in a vortex state with no vortex core. Here, we study the magnon modes of such systems both analytically and numerically. In an external magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-12-11 Vera Uzunova , Lukas Körber , Agapi Kavvadia , Gwendolyn Quasebarth , Helmut Schultheiss , Attila Kákay , Boris Ivanov

The scattering of an incident plane wave on two Aharonov-Bohm vortices with opposite fluxes is considered in detail. The presence of the vortices imposes non-trivial boundary conditions for the partial waves on a cut joining the two…

Exactly Solvable and Integrable Systems · Physics 2015-05-18 E Bogomolny , S Mashkevich , S Ouvry

Forced excitations at frequencies in the range of the first order azimuthal spin waves of a magnetic disk in the vortex state are known to scatter into the vortex gyration mode, thereby allowing the growth of Floquet spin waves forming a…

In this paper, the interplay between spin wave and magnetic vortex is studied. We find three types of magnon scatterings: skew scattering, symmetric side deflection and back reflection, which associate with respectively magnetic topology,…

Mesoscale and Nanoscale Physics · Physics 2023-06-28 Zhongchen Gao , Feifei Wang , Xiangyong Zhao , Tao Wang , Jingguo Hu , Peng Yan

Very recently Fonseca and Pires [Phys. Rev. B 73, 012403(2006)] have studied the soliton--magnon scattering for the isotropic antiferromagnet and calculated ``exact'' phase shifts, which were compared with the ones obtained by the Born…

Strongly Correlated Electrons · Physics 2015-06-25 Denis D. Sheka

Scattering of a nonrelativistic quantum-mechanical particle by an impenetrable magnetic vortex is considered. The nonvanishing transverse size of the vortex is taken into account, and the limit of short, as compared to this size,…

Quantum Physics · Physics 2011-04-28 Yurii A. Sitenko , Nadiia D. Vlasii

In this letter, an asymmetric spin wave scattering behaviors caused by vortex chirality are investigated in cross-shaped ferromagnetic system. In the system, four scattering behaviors are found, 1) asymmetric skew scattering, depending on…

Materials Science · Physics 2023-02-23 Xue-Feng Zhang , Je-Ho Shim , Xiao-Ping Ma , Cheng Song , Haiming Yu , Hong-Guang Piao

By using the complex angular momentum method, we provide a semiclassical analysis of electron scattering by a magnetic vortex of Aharonov-Bohm-type. Regge poles of the $S$-matrix are associated with surface waves orbiting around the vortex…

Condensed Matter · Physics 2007-05-23 Yves Décanini , Antoine Folacci

Efficient numerical methods are required for the design of optimised devices. In magnonics, the primary computational tool is micromagnetic simulations, which solve the Landau-Lifshitz equation discretised in time and space. However, their…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Wojciech Śmigaj , Krzysztof Sobucki , Paweł Gruszecki , Maciej Krawczyk

We study a model of interacting vortices in a type II superconductor. In the weak coupling limit, we constructed a mean-field theory which allows us to accurately calculate the vortex density distribution inside a confining potential. In…

Statistical Mechanics · Physics 2015-06-17 Yan Levin , Matheus Girotto , Alexandre Pereira dos Santos
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