196,177 research outputs found
Rotatable magnetic anisotropy in a Fe 0.8 Ga 0.2 thin film with stripe domains: Dynamics versus statics
A comprehensive investigation of rotatable anisotropy in a Fe0.8Ga0.2 thin film with a stripe domain structure has been performed comparing static and dynamic measurements. The stripes domain formation and their rotation under a transverse magnetic field have been imaged by magnetic force microscopy. The rotatable anisotropy field Hrot was determined by fitting the frequency evolution of the dipole-dominated magnetostatic spin-wave mode versus the in-plane orientation of the stripe domains, measured by Brillouin light scattering in the absence of any dc or ac magnetic field. We obtained Hrot aproximately 1.35 kOe, which is nearly ten times larger than the crystallographic in-plane anisotropy field. By applying a dc magnetic field along the stripes axis, Hrot decreases, and eventually vanishes for saturated in-plane magnetization. At remanence, we established a quantitative relationship between static and dynamic properties, that is, the stripes rotation angle and the in-plane angle dependence of spin-wave frequency.Fil: Tacchi, S.. Universidad de Perugia; ItaliaFil: Fin, S.. Universita Di Ferrara. Dipartimento Di Física; ItaliaFil: Carlotti, G.. Universidad de Perugia; Italia. Istituto Nanoscienze del CNR; ItaliaFil: Gubbiotti, G.. Universidad de Perugia; ItaliaFil: Madami, M.. Universidad de Perugia; ItaliaFil: Barturen, Mariana. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física. Laboratorio de Resonancias Magnéticas; Argentina. Universite de la Sorbona Nouvelle; Francia. Institut des NanoSciences de Paris; FranciaFil: Marangolo, M.. Universite de la Sorbona Nouvelle; Francia. Institut des NanoSciences de Paris; FranciaFil: Eddrief, M.. Institut des NanoSciences de Paris; Francia. Universite de la Sorbona Nouvelle; FranciaFil: Bisero, D.. Universita Di Ferrara; ItaliaFil: Rettori, A.. Istituto Nanoscienze del CNR; Italia. Universita Degli Studi Di Firenze; ItaliaFil: Pini, M.G.. Istituto dei Sistemi Complessi del CNR ; Itali
Angular Band Diagrams for Multidirectional Spin Wave Propagation in Square Antidot Lattices
By means of a joint experimental and theoretical investigation, we propose an alternative way of describing band properties of collective spin waves (SWs) when considering their propagation direction across a magnonic crystal (in our case, a square antidot lattice, ADL): to build up an angular band diagram, in which frequency is plotted as a function of the angle of SW propagation. Similarly to conventional band diagrams, even in this case different dispersions of different modes give origin to allowed/forbidden bands, related not only to the specific in-plane angle at which they are considered, but also to the SW wavevector magnitude and the ADL constant. We performed Brilluoin light scattering (BLS) measurements on a Permalloy ADL (with a lattice constant of 440 nm), mounted on a two-axis goniometer, which allows us to choose a specific angle of incidence of light as well as to rotate the sample around the surface normal (azimuthal rotation). By changing these angles, it is possible to change the magnitude and/or the in-plane direction of the wavevector of light (and, as a consequence, of the detected SW) [1]. In Fig. 1, we show an example of angular band diagram for a SW with k=1.06×2π/a (corresponding to a light incidence angle of 40 degrees): full circles are the experimental data, lines are the dispersions calculated by means of the dynamical matrix method (DMM) [2]. As apparent in Fig. 1, a minimum gap between the most intense SW modes occurs close to φG=28 degrees: however, this value is critically dependent on the wavevector magnitude (and the lattice constant, if different ADLs are compared). We derive and prove this functional dependence with analitical considerations. We believe that this results are of interest for magnon-spintronic applications where a straight antenna on an ADL is used to emit SWs in any direction (omnidirectional SW emission).
References:
[1] G. Gubbiotti, F. Montoncello,S. Tacchi, M. Madami, G. Carlotti, L. Giovannini, J. Ding and A. O. Adeyeye, Applied Physics Letters 106, 262406 (2015).
[2] L. Giovannini, F. Montoncello, and F. Nizzoli, Physical Review B 75, 024416 (2007)
Our protocol for the treatment of patient with cleft lip palate [NOSTRO PROTOCOLLO TERAPEUTICO NEL TRATTAMENTO DELL L.P.S.]
Asymmetric frequency dispersions of equivalent spin wave modes measured along symmetry directions of a hexagonal magnonic crystal
Magnonic crystals have been receiving special attention in front-line research on magnetism and magnetic materials because of their outstanding physical properties and potential
technological applications: in particular, the collective mode propagation can be easily controlled in these systems by an external field. This gives the possibility of tuning, from one side, the width and the frequency range of the allowed/forbidden spin wave bands and, from the other, the group velocity of the spin waves so that information could be stored or delivered with little effort within the same device, which can operate either as a memory or a waveguide. In this paper, we report a Brillouin light scattering (BLS) investigation on a hexagonal array of Permalloy interacting disks, fabricated via etched nanosphere lithography technique.
BLS spectra were measured in the Voigt configuration for two different orientation of the applied magnetic field, i.e., parallel and perpendicular to the direction of adjacent dots [1]. Measurements highlight the occurrence of non-monotonic dispersions, with maximum/minimum occurring inside the first Brillouin zone. The dynamical matrix method [2] was used to interpret the experimental results, and the thorough understanding of all dispersions, in all their complexity, was found straightforward within the effective wavevector model [3]. Asymmetry of mode propagation is considered a challenging feature of these systems: equivalent modes can propagate in different directions with different bandwidth and different group velocity, and in some cases different dispersion slope: this means that they can carry different binary digits, a crucial property useful, for example, in spin-logic devices.
This work was supported by the European Community's Seventh Framework Programme (FP7/2007-2013) under Grant Agreement n. 228673 (MAGNONICS) and by MIUR-PRIN 2010-11 Project 2010ECA8P3 "DyNanoMag".
References:
[1] F. Montoncello, L. Giovannini, S. Tacchi, M. Madami, G. Gubbiotti, G. Carlotti, E. Sirotkin, E. Ahmad, F. Y. Ogrin and V. V. Kruglyak, Applied Physics Letters 102, 202411 (2013).
[2] L. Giovannini, F. Montoncello and F. Nizzoli, Physical Review B 75, 024416 (2007).
[3] S. Tacchi, F. Montoncello, M. Madami, G. Gubbiotti, G. Carlotti, L. Giovannini, R. Zivieri, F. Nizzoli, S. Jain, A. O. Adeyeye and N. Singh, Phys. Rev. Lett. 107, 127204 (2011)
Spin wave band structure of a two-dimensional ferromagnetic antidot array -- Presentazione orale by R. Zivieri - Conferenza internazionale
The spin wave band structure of a two-dimensional square array of NiFe circular antidots (ADs) has been investigated both experimentally and theoretically by using Brillouin light scattering (BLS) technique and micromagnetic calculations, carried out by means of the dynamical matrix method (DMM) with implemented periodic boundary conditions [1]. Sample consists of 22 nm NiFe film with etched circular having diameter of 120 nm and periodicity of 800 nm. As depicted in the inset to Fig.1, the external magnetic field is applied along y direction, while the transferred wave vector is along x direction. Both the experimental measurements and the calculated spin wave dispersion provide evidence for either extended or localized magnonic modes having a propagative nature. Extended modes spreading in the “horizontal” channels comprised between adjacent rows of ADs have a non-vanishing precession amplitude also along the horizontal rows of holes. These spin-wave modes are labelled as DEnBZ (black curves) where nBZ denotes a given Brillouin zone with n=1,2,.. Instead, the other kind of spin-wave modes, mainly localized along the horizontal rows of antidots, the so-called localized modes [2], are labelled as DElocnBZ (red curves). Both families of modes exhibit bandgaps at Brillouin zone boundaries predicted by the DMM calculations. Opening of bandgaps is interpreted in terms of Bragg diffraction of spin waves from the AD lattice and a quantitative explanation of this effect is given by studying the behavior of the mean internal field. The calculated mean internal field experienced by the two kind of modes is strongly inhomogeneous and is larger in correspondence of ADs. The DE2BZ mode exhibits its maximum precession amplitude where the internal field is larger (smaller) and has thus a larger (smaller) frequency. Band gaps are also calculated within the analytical model according to a perturbation approach. The eigenfunctions representing frequency modes at the BZs boundaries belonging to n-th and (n+1)-th band (sin (k π / a) x and cos (k π / a) x with k = 1,2,.., respectively) are interchanged with respect to those of electrons in electronic bands studied within the nearly-free electron model. This can be understood taking into account that the periodic mean internal field has its maxima in correspondence of ADs, while the periodic electronic potential is minimum close to the nuclei and vice versa. A comparison between the bandgap measured by BLS and the values calculated by means of the analytical model and by using the DMM is shown in Table 1. According to the analytical model, it is found that the relevant scattering potential for Bragg reflection is not provided by the holes themselves, but by the concomitant internal field inhomogeneity between holes [3]. This is in contrast to antidots in photonics and electronics where the back-reflection is directly caused by the presence of holes. The results of this study are important also for the potential applications of these patterned structures that can be used in magnonic devices. Indeed, AD behaves not only as waveguide for spin waves, but the presence of bandgaps permits to filter the frequency of travelling excitations. In this way, AD can be used also as a filter for spin waves.
The research leading to these results has received funding from the European Community's Seventh Framework Programme (FP7/2007-2013) under Grant Agreement n228673 (MAGNONICS).
[1] L. Giovannini, F. Montoncello, and F. Nizzoli, Phys. Rev. B 75, 024416 (2007)
[2] S. Tacchi, M. Madami, G. Gubbiotti, G. Carlotti, A.O. Adeyeye, S. Neusser, B. Botters, and D. Grundler,
IEEE Trans. Magn. 46, 172 (2010)
[3] R. Zivieri, S. Tacchi, F. Montoncello, L. Giovannini, F. Nizzoli, M. Madami, G. Gubbiotti, G. Carlotti, S.
Neusser, G. Duerr, and D. Grundler, “Bragg diffraction of spin waves from a two dimensional antidot lattice
”, in press in Physical Review B --
Presentazione orale by R. Zivieri - Conferenza internazional
Band structure of a two-dimensional ferromagnetic antidot lattice
The spin wave band structure of a two-dimensional square array of NiFe circular
antidots having diameter of 120 nm and periodicity of 800 nm has been investigated by
using Brillouin light scattering technique and micromagnetic calculations based on the
dynamical matrix method [1]. The external magnetic field was applied in the plane and
perpendicularly to the transferred wave vector. Extended and localized spin modes
having a propagative nature were found. Opening of bandgaps is interpreted in terms of
Bragg diffraction of spin waves from the antidot lattice and this effect is explained by
studying the behaviour of the internal field as shown in Fig.1. The mean internal field is
larger along the vertical rows of antidots and smaller between the antidots (see panel (a)
for extended modes and (c) for localized modes). By developing an analytical model
according to which the mean internal field is represented by means of a rectangular step
function characterized by a region 1 corresponding to vertical rows of antidots and a
region 2 between the antidots (see panels (b) and (d)), the relevant scattering potential
for Bragg reflection is not provided by the holes themselves, but by the concomitant
internal field inhomogeneity between holes [2]. This is in contrast to antidots in
photonics and electronics where the back-reflection is directly caused by the presence of
holes. The research leading to these results has received funding from the European
Community's Seventh Framework Programme (FP7/2007-2013) under Grant
Agreement n228673 (MAGNONICS).
[1] L. Giovannini, F. Montoncello, and F. Nizzoli, Phys. Rev. B 75, 024416 (2007).
[2] R. Zivieri, S. Tacchi, F. Montoncello, L. Giovannini, F. Nizzoli, M. Madami, G.
Gubbiotti, G. Carlotti, S. Neusser, G. Duerr, and D. Grundler, Phys. Rev. B 83, (2012)
Exchange Coupling in FeTaN-FeSm-FeTaN Multilayers: A Kerr Effect Study
The dependence of the interlayer coupling on both the soft (FeTaN) and hard (FeSm) layer thickness in FeTaN-FeSm-FeTaN multilayers, deposited by dc magnetron sputtering, has been investigated. The magnetization reversal process is examined experimentally using a magnetooptical Kerr effect. The exchange field Hex, which is a measure of the average coupling between the soft and hard layers, was determined from the field shift of the minor hysteresis loop. The value of Hex increases as the number of the soft FeTaN layer increases. A significant and fully reversible transverse hysteresis loop was measured indicating that, during the magnetization-reversal process, the magnetic moments in the soft layers rotate reversibly, as typical of exchange-spring systems
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