title: Splitting of standing spin-wave modes in circular submicron ferromagnetic dot under axial symmetry violation.
abstract: The spin wave dynamics in patterned magnetic nanostructures is under intensive study during the last two decades. On the one hand, this interest is generated by new physics that can be explored in such structures. On the other hand, with the development of nanolithography, patterned nanoelements and their arrays can be used in many practical applications (magnetic recording systems both as media and read-write heads, magnetic random access memory, and spin-torque oscillators just to name a few). In the present work the evolution of spin wave spectra of an array of non-interacting Permalloy submicron circular dots for the case of magnetic field deviation from the normal to the array plane have been studied by ferromagnetic resonance technique. It is shown that such symmetry violation leads to a splitting of spin-wave modes, and that the number of the split peaks depends on the mode number. A quantitative description of the observed spectra is given using a perturbation theory for small angles of field inclination from the symmetry direction. The obtained results give possibility to predict transformation of spin wave spectra depending on direction of the external magnetic field that can be important for spintronic and nanomagnetic applications.
authors.affiliation: IFIMUP and IN-Institute of Nanoscience and Nanotechnology, Departamento de Física, Universidade do Porto, 4169-007 Porto, Portugal.
authors.forename: S A
authors.initials: SA
authors.lastname: Bunyaev
authors.affiliation: Institute of Magnetism, National Academy of Sciences of Ukraine, 36b Vernadskogo Blvd, 03142 Kiev, Ukraine.
authors.forename: V O
authors.initials: VO
authors.lastname: Golub
authors.affiliation: Institute of Magnetism, National Academy of Sciences of Ukraine, 36b Vernadskogo Blvd, 03142 Kiev, Ukraine.
authors.forename: O Yu
authors.initials: OY
authors.lastname: Salyuk
authors.affiliation: Institute of Magnetism, National Academy of Sciences of Ukraine, 36b Vernadskogo Blvd, 03142 Kiev, Ukraine.
authors.forename: E V
authors.initials: EV
authors.lastname: Tartakovskaya
authors.affiliation: Departamento de Física and I3N, Universidade de Aveiro, 3810-193 Aveiro, Portugal.
authors.forename: N M
authors.initials: NM
authors.lastname: Santos
authors.affiliation: Departamento de Física and I3N, Universidade de Aveiro, 3810-193 Aveiro, Portugal.
authors.forename: A A
authors.initials: AA
authors.lastname: Timopheev
authors.affiliation: Departamento de Física and I3N, Universidade de Aveiro, 3810-193 Aveiro, Portugal.|National University of Science and Technology "MISiS", 119049 Moscow, Russia.
authors.forename: N A
authors.initials: NA
authors.lastname: Sobolev
authors.affiliation: Fachbereich Physik and Forschungszentrum OPTIMAS, Technische Universität Kaiserslautern, 67663 Kaiserslautern, Germany.
authors.forename: A A
authors.initials: AA
authors.lastname: Serga
authors.affiliation: Fachbereich Physik and Forschungszentrum OPTIMAS, Technische Universität Kaiserslautern, 67663 Kaiserslautern, Germany.
authors.forename: A V
authors.initials: AV
authors.lastname: Chumak
authors.affiliation: Fachbereich Physik and Forschungszentrum OPTIMAS, Technische Universität Kaiserslautern, 67663 Kaiserslautern, Germany.
authors.forename: B
authors.initials: B
authors.lastname: Hillebrands
authors.affiliation: IFIMUP and IN-Institute of Nanoscience and Nanotechnology, Departamento de Física, Universidade do Porto, 4169-007 Porto, Portugal.
authors.forename: G N
authors.initials: GN
authors.lastname: Kakazei