Magnetization dynamics in nano-contact spin torque oscillators (STOs) is investigated from an experimental and theoretical point of view. The fundamentals of magnetization dynamics due to spin transfer torque are given. A custom-made high frequency (up to 46 GHz) in large magnetic fields (up to 2.2 T) microwave characterization setup has been built for the purpose and described in this thesis. A unique feature of this setup is the capability of applying magnetic fields at any direction θe out of the sample plane, and with high precision. This is particularly important, because the (average) out-of-plane angle of the STO free magnetic layer has fundamental impact on spin wave generation and STO operation. By observing the spin wave spectral emission as a function of θe, we find that at angles θe below a certain critical angle θcr, two distinct spin wave modes can be excited: a propagating mode, and a localized mode of solitonic character (so called spin wave bullet). The experimental frequency, current threshold and frequency tuneability with current of the two modes can be described qualitatively by analytical models and quantitatively by numerical simulations. We are also able to understand the importance, so far underestimated, of the Oersted field in the dynamics of nano-contact STOs. In particular, we show that the Oersted field strongly affects the current tuneability of the propagating mode at subcritical angles, and it is also the fundamental cause of the mode hopping observed in the time-domain. This mode hopping has been observed both experimentally using a state-of-the-art real-time oscilloscope and corroborated by micromagnetic simulations. Micromagnetic simulations also reveal details of the spatial distribution of the spin wave excitations. By investigating the emitted power as a function of θe, we observed two characteristic behaviors for the two spin wave modes: a monotonic increase of the power for increasing out-of-plane angles in the case of the propagating mode; an increase towards a maximum power followed by a drop of it at the critical angle for the localized mode. Both behaviors are reproduced by micromagnetic simulations. The agreement with the simulations offers also a way to better understand the precession dynamics, since the emitted power is strongly connected to the angular variation of the giant magnetoresistance signal. We also find that the injection locking of spin wave modes with a microwave source has a strong dependence on θe, and reaches a maximum locking strength at perpendicular angles. We are able to describe these results in the theoretical framework of non-linear spin wave dynamics. / QC 20101130

[Truncated abstract] Although exchange bias was discovered more than four decades ago, a satisfactory understanding of every instance of exchange bias observed in experiment has not yet emerged. Understanding exchange bias is complicated by many factors. For example, details of the antiferromagnet interface structure set up during the initial field cooling, thermal activation processes in the ferromagnet and antiferromagnet, and domain formation and domain wall movement in the antiferromagnet are all important in determining features associated with exchange bias. Two exchange bias systems are investigated in this thesis. One is a disordered system: a single layer Co/CoO film with random interfaces prepared by a reactive RF sputtering technique. The other is a ‘model’ system of Fe/KFeF 3 bilayers with compensated interfaces prepared by molecular beam epitaxy (MBE). The central theme of this work is to understand exchange bias and other related magnetic properties in these two very different systems. The Co/CoO exchange bias system studied here is different in structure from conventional exchange bias systems such as bilayer and multilayer systems where interfaces between ferromagnet and antiferromagnet are reasonably well defined. In this Co/CoO system, the Co and CoO is in the form of particles distributed randomly in a sputtered film. The interfaces between the Co and CoO are randomly distributed and may not be continuous over a large length scale. More importantly, the interface area is dependent on the shape and size of the particles and on their distribution. Many unique magnetic properties are related to the random interface in this system. For example, exchange bias and coercivity obtained at low temperatures are very large due to the large interface area between Co and CoO particles. The interface area can be controlled by changing the Co/CoO mass ratio in the film. Unlike in bilayer systems, film thickness in this single layer Co/CoO system turns out not to be critical for exchange bias and coercivity. The independence of film thickness may be technically important. More interestingly, because the interface is random, exchange bias can be setup by field cooling in any direction. Both training and magnetic viscosity effects were studied and provided evidence of thermal activation processes in this Co/CoO system. Training is explained as formation of a domain wall in the CoO with motion limited locally due to limited continuity of Synthesis and Characterization of Magnetic Thin Films - Exchange Bias Systems interfaces between the Co and CoO. Specific magnetization measurements over time were made and studied using viscosity theory. The magnetic viscosity was found to be strongly temperature dependent. There is a broad distribution of blocking temperatures which might be due to a broad distribution of Co particle sizes

Les processus d'aimantation dans des aimants de type NdFeB ont été étudiés dans le cadre de cette thèse, sur la base de mesures d'aimantation macroscopiques et de caractérisations locales (MFM). Deux types d'échantillons ont été analysés : des aimants massifs dont les propriétés excellentes résultent d'un processus d'infiltration de NdCu le long des joints de grain (échantillons fournis par Toyota Motor Corporation) et des échantillons sous forme de couches épaisses, dont les microstructures, et, de ce fait les propriétés magnétiques, diffèrent. La variation thermique du champ coercitif et celle du volume d'activation ont été analysées dans le cadre de deux modèles, respectivement dénommé micromagnétique et global. Les valeurs déduites des deux paramètres principaux caractérisant la coercitivité (N représentant les effets du champ démagnétisant et α reliant le champ coercitif aux propriétés magnétiques intrinsèques de la phase dure) indiquent que dans les aimants massifs les différences de coercitivité entre échantillons sont dues pour l'essentiel à la variation de N alors que dans les films, c'est la variation du paramètre α qui joue le rôle principal. Le volume d'activation à une température donnée, dérivé de mesures de trainage magnétique, a des valeurs proches pour tous les échantillons massifs. Au contraire, il varie d'un échantillon à l'autre dans le cas des films : plus le champ coercitif est fort, plus petit est le volume d'activation. Une conclusion générale de cette étude est que les propriétés magnétiques au sein du volume d'activation sont proches de celles de la phase dure Nd2Fe14B. Le lien entre microstructure et coercivité a été examiné dans les films épais par microscopie de force magnétique (MFM). Des observations de films dans différents états rémanents le long du cycle d'hystérésis ont été réalisées. Des « domaines d'interactions » ont été révélés dans les films de faible coercitivté. Dans de tels films, comme dans ceux de coercitivité moyenne, le renversement d'aimantation est dominé par la propagation de domaines, alors que dans les films de plus forte coercitivité, la nucléation suivie de la propagation de domaines d'orientation inverse à celle de l'aimantation principale dominent. / Magnetization reversal in NdFeB-type permanent magnets was studied in this thesis, based on both global (magnetometry) and local (magnetic force microscopy) experimental techniques. Two types of samples were analyzed: bulk magnets of which magnetic properties are greatly improved as a result of NdCu infiltration along the grain boundaries (samples provided by Toyota Motor Corporation) and thick film magnets with different microstructures and thus different coercive fields. The temperature dependence of the coercive field and that of the activation volume were analyzed in the framework of two models: the micromagnetic and the global model. The derived values of the two main parameters characterizing coercivity (N representing demagnetizing field effects and α linking the coercive field to the intrinsic magnetic properties of the hard phase) indicate that, in bulk magnets, the difference in coercivity between different samples is related mainly to N whereas in films the parameter alfa plays the leading role. The activation volume derived from magnetic after effect measurements is similar for all bulk samples at a given temperature. On the opposite, it varies in the case of films : the higher the coercive field, the smaller the activation volume. Altogether, it is concluded that the magnetic properties within the activation volume are close to those of the main phase. The link between microstructure and coercivity was studied in thick films, using magnetic force microscopy. Imaging of films that present different microstructures was performed in different remanent states along the hysteresis cycle. Interaction domains were observed in the case of films with lower coercive field. In such low coercivity films, as well as in medium coercivity ones, magnetization reversal is dominated by domain wall propagation, instead of nucleation + propagation in high coercivity films.

Master's thesis is devoted to the issues of stability spiral domains. It gives an overview of previously submitted behaviors spiral domains. Their features and some discrepancy with experi-ments were marked. For an explanation the experimental results in this paper proposed a model in which were introduced additional internal degrees of freedom - bending deformation of the domain boundary, resizing the inner core and changing the width of the domain. The equations describing the change of geometric parameters of the spiral domain were ob-tained as part of the dissipative model. In the model insulated spiral domain were considered on an endless film. The equations were solved by numerical calculation. The study identified two scenar-ios for the destruction of spiral domains. Discovered scenarios correspond more closely to the ex-perimentally observed than in models with only one degree of freedom. The work consists of four chapters, introduction and conclusion with 63 pages. The paper contains 41 figures and one application. / Магистерская диссертация посвящена вопросам стабильности спиральных доменов. В ней приводится обзор ранее представленных моделей поведения спиральных доменов. Вы-деляются их особенности и некоторое несоответствие экспериментам. Для объяснения экс-периментальных результатов в данной работе была предложена модель, в которой введены в рассмотрение дополнительные внутренние степени свободы – изгибное искажение доменной границы, изменение размера внутреннего ядра и изменение ширины домена. В рамках диссипативной модели были получены уравнения, описывающие изменение всех геометрических параметров спирального домена. В модели рассматривался изолированный спиральный домен на бесконечной пленке. Для решения уравнений применялся численный расчет. В ходе исследования определили два сценария разрушения спиральных доменов. Обнаруженные сценарии в большей степени соответствуют наблюдаемым на опыте, чем в модели только с одной степенью свободы. Работа состоит из четырех глав, введения и заключения общим объемом 63 страницы. В работе содержится 41 рисунок и одно приложение.

Die vorliegende Arbeit beschäftigt sich mit einer Klasse von Variationsproblemen, die im Kontext des Ferromagnetismus entstehen. Es soll hierbei ein numerischer und analytischer Hintergrund zur Behandlung von harten magnetischen dünnen Filmen mit senkrechter Anisotropie gegeben werden. Bei magnetischen dünnen Filmen handelt es sich um Schichten von magnetischen Materialien mit Dicken von wenigen Mikrometern bis hin zu einigen Nanometern. Ausgangspunkt der Betrachtungen ist ein Modell von Landau und Lifshitz, das die Grundzustände der Magnetisierung in einem dreidimensionalen Körpers mit den Minimierer eines nichtkonvexen und nichtlokalen Energiefunktionals, der sogenannten mikromagnetischen Energie, verbindet. Unter der Annahme sehr kleiner Filmdicken wird aus dem betrachteten Modell ein zwei-dimensionales Modell hergeleitet. Anschließend wird mit Hilfe der Gamma-Konvergenz die Konvergenz zu einem Sharp-Interface-Modell gezeigt. Das resultierende Energiefunktional besteht aus konkurrierenden Interface- und Dipolenergieanteilen. Der zweite Teil der Arbeit beschäftigt sich mit der Analyse einer numerischen Methode, die die Lösungen des vorher hergeleiteten Modells approximiert. Hierbei stützen sich die Betrachtungen auf ein relaxiertes Modell, in dem der Interfaceenergiebeitrag durch seine Modica-Mortola Approximation ersetzt und dann der entsprechende L^2 Gradientenfluß betrachtet wird. Die daraus resultierende nichtlineare und nichtlokale parabolische Gleichung wird anschließend durch ein Crank-Nicolson-Verfahren in der Zeitvariablen und einem Fourieransatz für die Raumvariablen diskretisiert. Wir beweisen die Existenz und Eindeutigkeit von Lösungen des numerischen Verfahrens, sowie deren Konvergenz zu Lösungen des anfänglich betrachteten stetigen Modells. Ferner werden auch a priori Fehlerabschätzungen für die numerische Methode hergeleitet. Abschließend werden die analytischen Resultate anhand numerischer Experimente illustriert. / This thesis is concerned with the study of a class of variational problems arising in the context of ferromagnetism. More precisely, it aims at providing a numerical and analytical background to the study of hard magnetic thin films with perpendicular anisotropy. Magnetic thin films are sheets of magnetic materials with thicknesses of a few micrometers down to a few nanometers used mainly in electronic industry, for example as magnetic data storage media for computers. Our initial considerations are based on a model of Landau and Lifshitz that associates the ground states of the magnetization within a three-dimensional body to the minimizers of a nonconvex and nonlocal energy functional, the so-called micromagnetic energy. Under film thickness considerations (thin film regime), we first reduce the aforementioned model to two dimensions and then carry out a Gamma-limit for a sharp-interface model. The resulting energy functional features a competition between an interfacial and a dipolar energy contribution. The second part of the thesis is concerned with the analysis of a numerical method to approximate solutions of the previously derived sharp-interface model. We base our considerations on a relaxed model in which we replace the interfacial energy contribution by its Modica-Mortola approximation, and then study the associated L^2 gradient flow. The resulting evolution equation, a nonlinear and nonlocal parabolic equation, is discretized by a Crank-Nicolson approximation for the time variable and a Fourier collocation method for the space variable. We prove the existence and uniqueness of the solutions of the numerical scheme, the convergence of these solutions towards solutions of the initial continuous model and also derive a-priori error estimates for the numerical method. Finally, we illustrate the analytical results by a series of numerical experiments.

<div>The response time of magnetization switching in current spintronic devices is limited to nanosecond timescales due to the precessional motion of the magnetization during reversal. To overcome this limit two routes of investigation leading to novel recording and logic devices are considered in this thesis: 1) Magnetic tunnel junction structures where the recording and reference layers are replaced by synthetic ferrimagnets and switching is induced by spin transfer torque and 2) Hybrid magneto-photonic devices where switching is induced by plasmon-enhanced all-optical switching. To circumvent limitations of the materials and magnetic properties of CoFeB, the most utilized alloy in spintronics, hcp-CoCrPt, a material that exhibits superior perpendicular anisotropy and thermal stability, is chosen as the ferromagnetic electrode in this work. Whereas actual devices based on the two schemes aforementioned are still in the process of being fabricated, through collaborative work with our international collaborators, this thesis describes fundamental magnetic and structural characterization needed for the realization of said ultrafast switching devices. The magnetic switching behavior of CoCrPt-Ru-CoCrPt synthetic ferrimagnets with perpendicular magnetic anisotropy have been studied in the temperature range from 2K to 300K. It was found that two sets of magnetic transitions occur in the CoCrPt-Ru-CoCrPt ferrimagnet systems studied. The first set exhibits three magnetization states in the 50K – 370K range, whereas the second involves only two states in the 2K and 50K range. The magnetic hysteresis curves of the synthetic ferrimagnet are assessed using an energy diagram technique which accurately describes the competition between interlayer exchange coupling energy, Zeeman energy, and anisotropy energy in the system. This energy diagram analysis is then used to predict the changes in the magnetic hysteresis curves of the synthetic ferrimagnet from 200K to 370K. This represents the potential operation temperature extrema that a synthetic ferrimagnet could be expected to operate at, were it to be utilized as a free layer in a memory or sensor spintronic device in the device configuration described in this dissertation.</div><div>Circularly polarized fs laser pulses generate large opto-magnetic fields in magnetic materials, through the inverse Faraday effect. These fields are attributed to be largely responsible for achieving ultrafast all-optical magnetization switching (AOS). All experimental demonstrations of AOS thus far have been realized on thin films over micron-sized irradiated regions. To achieve magnetization switching speeds in the ps and potentially fs time regimes, this work proposes the use of surface plasmon resonances at the interface of hybrid magneto-photonic heterostructures. In addition to the ability of plasmon resonances to confine light in the nm scale, the resonant excitation can largely enhance induced opto-magnetic fields in perpendicular magnetic anisotropy materials. This requires strong spin-photon coupling between the plasmonic and the magnetic materials, which thus requires the minimization of seed layers used for growth of the magnetic layer. This work reports on the development of ultrathin (1 nm thick) interlayers to control the growth orientation of hcp-Co alloys grown on the refractory plasmonic material, TiN, to align the magnetic axis out-of-plane. CoCrPtTa seed layers down to 1 nm were developed to seed the growth of CoCrPt, and the dependence of the quality of the CoCrPt is investigated as Ta composition is varied in the seed layer. Whereas bismuth iron garnet (BIG) meets the magneto-optical requirements for a hybrid magneto-photonic material, its magnetic and structural properties are highly sensitive to the Bi:Fe ratio and must be grown epitaxially on single crystalline substrates. Therefore, in this work we have investigated alternative materials that offer superior magnetic properties and are amenable to growth on inexpensive substrates. Opto-magnetic field enhancements up to 2.6x in Co-ferrite magneto-photonic heterostructures have been obtained via finite element analysis modelling. Alternative materials for plasmon-enhanced all-optical switching such as Co/Pd multilayers have also been investigated. Successful growth of Co/Pd multilayers on TiN using ultrathin Ti interlayers has been achieved. </div><div><br></div>

This thesis focuses on the role of interfacial strain in heterostructures to modify the magnetism of thin ferromagnetic films due to the inverse magnetostrictive effect, defined as the change of magnetization produced in ferromagnetic materials by an external stress. Thus, the magnetic control can be obtained without applying an external field by using heterostructures composed of a non-magnetic layer characterized by a temperature-driven structural phase transition coupled to a ferromagnetic layer. In such heterostructures, the magnetization of the ferromagnetic layer is modified through changes in the stress field at the interface when the structural phase transition in the non-magnetic layer (actuator) is carried out. In this work, we used NiTi shape memory alloy as the actuator to modify the magnetic behavior of ferromagnetic films through the magneto-elastic coupling in novel NiTi/Ni and NiTi/Co heterostructures. NiTi, when near its equiatomic composition, is a shape memory alloy that undergoes a reversible structural phase transition with temperature, providing stress on the ferromagnetic film. We chose this alloy because NiTi exhibits a large recovery stress with transition temperatures above room temperature for Ti-rich NiTi films, which is of interest for technological applications of the heterostructures. Since the right microstructure of NiTi is important to observe structural phase transition and it defines the characteristic of the transition, an extensive review on previous research on NiTi is detailed in this thesis. Thus, to ensure large stress during the NiTi structural transition with temperature, the NiTi alloy must be near its equiatomic composition with a thickness above 800 nm. Both characteristics were confirmed by Rutherford Backscattering analyses. The crystal structure and its transition with temperature were studied by X-ray diffraction measurements. In-plane magnetization and hysteresis measurements with temperature, performed on a superconducting quantum interference device (SQUID) magnetometer, prove the magneto-elastic coupling that was observed as an enhancement in the magnetic moment of the ferromagnetic layer. Such enhancement becomes the feature of magneto-elastic coupling in these novel NiTi/ferromagnetic heterostructures. / Esta tese estuda o papel da tensão interfacial em filmes heterogêneos na modificação do magnetismo de camadas ferromagnéticas finas por meio do efeito magnetoestritivo inverso, definido como a mudança de magnetização produzida em materiais ferromagnéticos por um estresse externo. Tecnologicamente, isto visa ter um grau de controle magnético do material sem a aplicação de um campo externo, usando heteroestruturas compostas por uma camada não magnética caracterizada por uma transição de fase estrutural acionada pela temperatura, acoplada a uma camada ferromagnética. Em tais heteroestruturas, a magnetização da camada ferromagnética é modificada através de alterações no campo de tensão na interface quando a transição de fase estrutural na camada não magnética (atuador) é realizada. Assim, utilizamos a liga com memória de forma NiTi como atuador, para modificar o comportamento magnético de filmes ferromagnéticos através do acoplamento magnetoelástico em novas heteroestruturas de NiTi/Ni e NiTi/Co. O NiTi, quando próximo à sua composição equiatômica, é uma liga com memória de forma que sofre uma transição de fase estrutural reversível com a temperatura, proporcionando tensão no filme ferromagnético. Escolhemos esta liga porque o NiTi apresenta uma grande tensão de recuperação com temperaturas de transição acima da temperatura ambiente, para filmes de NiTi ricos em Ti, o que é de interesse para aplicações tecnológicas das heteroestruturas. A microestrutura do NiTi é fundamental para favorecer a transição de fase estrutural e definir as suas características. Assim, uma extensa revisão de pesquisas anteriores sobre NiTi é detalhada nesta tese. Para garantir um grande estresse durante a transição estrutural do NiTi com a temperatura, o filme de NiTi deve estar próximo de sua composição equiatômica e ter espessura acima de 800 nm. Ambas as características foram confirmadas pelas análises de espectroscopia de retroespalhamento Rutherford. A estrutura cristalina e sua transição com a temperatura foram estudadas por medidas de difração de raios X. Medidas de magnetização e histerese em função da temperatura, com campo aplicado no plano dos filmes, realizadas em um magnetômetro SQUID, comprovaram a existência do acoplamento magnetoelástico, o qual se manifestou através de variações no momento magnético da camada ferromagnética. Essas mudanças de magnetização, observadas principalmente na heteroestrutura com Ni, torna-se a característica principal do acoplamento magnetoelástico nesses novos materiais.

This thesis focuses on the role of interfacial strain in heterostructures to modify the magnetism of thin ferromagnetic films due to the inverse magnetostrictive effect, defined as the change of magnetization produced in ferromagnetic materials by an external stress. Thus, the magnetic control can be obtained without applying an external field by using heterostructures composed of a non-magnetic layer characterized by a temperature-driven structural phase transition coupled to a ferromagnetic layer. In such heterostructures, the magnetization of the ferromagnetic layer is modified through changes in the stress field at the interface when the structural phase transition in the non-magnetic layer (actuator) is carried out. In this work, we used NiTi shape memory alloy as the actuator to modify the magnetic behavior of ferromagnetic films through the magneto-elastic coupling in novel NiTi/Ni and NiTi/Co heterostructures. NiTi, when near its equiatomic composition, is a shape memory alloy that undergoes a reversible structural phase transition with temperature, providing stress on the ferromagnetic film. We chose this alloy because NiTi exhibits a large recovery stress with transition temperatures above room temperature for Ti-rich NiTi films, which is of interest for technological applications of the heterostructures. Since the right microstructure of NiTi is important to observe structural phase transition and it defines the characteristic of the transition, an extensive review on previous research on NiTi is detailed in this thesis. Thus, to ensure large stress during the NiTi structural transition with temperature, the NiTi alloy must be near its equiatomic composition with a thickness above 800 nm. Both characteristics were confirmed by Rutherford Backscattering analyses. The crystal structure and its transition with temperature were studied by X-ray diffraction measurements. In-plane magnetization and hysteresis measurements with temperature, performed on a superconducting quantum interference device (SQUID) magnetometer, prove the magneto-elastic coupling that was observed as an enhancement in the magnetic moment of the ferromagnetic layer. Such enhancement becomes the feature of magneto-elastic coupling in these novel NiTi/ferromagnetic heterostructures. / Esta tese estuda o papel da tensão interfacial em filmes heterogêneos na modificação do magnetismo de camadas ferromagnéticas finas por meio do efeito magnetoestritivo inverso, definido como a mudança de magnetização produzida em materiais ferromagnéticos por um estresse externo. Tecnologicamente, isto visa ter um grau de controle magnético do material sem a aplicação de um campo externo, usando heteroestruturas compostas por uma camada não magnética caracterizada por uma transição de fase estrutural acionada pela temperatura, acoplada a uma camada ferromagnética. Em tais heteroestruturas, a magnetização da camada ferromagnética é modificada através de alterações no campo de tensão na interface quando a transição de fase estrutural na camada não magnética (atuador) é realizada. Assim, utilizamos a liga com memória de forma NiTi como atuador, para modificar o comportamento magnético de filmes ferromagnéticos através do acoplamento magnetoelástico em novas heteroestruturas de NiTi/Ni e NiTi/Co. O NiTi, quando próximo à sua composição equiatômica, é uma liga com memória de forma que sofre uma transição de fase estrutural reversível com a temperatura, proporcionando tensão no filme ferromagnético. Escolhemos esta liga porque o NiTi apresenta uma grande tensão de recuperação com temperaturas de transição acima da temperatura ambiente, para filmes de NiTi ricos em Ti, o que é de interesse para aplicações tecnológicas das heteroestruturas. A microestrutura do NiTi é fundamental para favorecer a transição de fase estrutural e definir as suas características. Assim, uma extensa revisão de pesquisas anteriores sobre NiTi é detalhada nesta tese. Para garantir um grande estresse durante a transição estrutural do NiTi com a temperatura, o filme de NiTi deve estar próximo de sua composição equiatômica e ter espessura acima de 800 nm. Ambas as características foram confirmadas pelas análises de espectroscopia de retroespalhamento Rutherford. A estrutura cristalina e sua transição com a temperatura foram estudadas por medidas de difração de raios X. Medidas de magnetização e histerese em função da temperatura, com campo aplicado no plano dos filmes, realizadas em um magnetômetro SQUID, comprovaram a existência do acoplamento magnetoelástico, o qual se manifestou através de variações no momento magnético da camada ferromagnética. Essas mudanças de magnetização, observadas principalmente na heteroestrutura com Ni, torna-se a característica principal do acoplamento magnetoelástico nesses novos materiais.

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No description available.