In this thesis the influence of different growth conditions on the structural and the magnetic properties of magnetite were analyzed. Therefore, ultrathin Fe3O4 films were grown on MgO(001) substrates, on NiO, and on Fe pre-covered MgO(001) substrates. In the first part of this thesis magnetite films with different film thicknesses were deposited directly on MgO by RMBE to investigate the thickness dependence of the anomalous strain and the in-plane magnetic anisotropy. Surface sensitive methods like XPS and LEED have shown that all films in the investigated thickness range are stoichiometric and epitactic magnetite. Bulk sensitive XRD experiments at the specular rod point to well-ordered films with homogenous film thickness indicated by the distinct Laue oscillations. However, the vertical layer distances are smaller than expected even for strained magnetite. Raman measurements were carried out to clarify this contradiction between surface sensitive and bulk sensitive measurements. While the 20 nm and 30 nm films exhibit the typical bands for magnetite, no distinct bands can be observed for the 7.6 nm film. Due to this results we first assume a partial formation of a thin maghemite layer on top of the uncapped magnetite film under ambient conditions. Nevertheless, additional XPS measurement exclude the complete oxidation of magnetite to maghemite since there is no significantly increased Fe3+-signal visible. Thus, the low vertical layer distance can be attributed to the presence of APBs causing an anomalous strain relaxation as reported in literature. Although all films feature ferromagnetic behavior there are differences in the characteristic of the magnetic in-plane anisotropy. The 7.6 nm film has an in-plane magnetic isotropy while the 20 nm and 30 nm film have an in-plane fourfold magnetic anisotropy. Here, the fourfold magnetic anisotropy is stronger for the 20 nm magnetite film than for the 30 nm film. The critical film thickness for the transition from magnetic isotropy to magnetic fourfold anisotropy may be influenced by film thickness and lattice strain induced by the substrate. The second part of this thesis features the thickness dependence of the structural quality of Fe3O4/NiO bilayers. Each film of the Fe3O4/NiO bilayer on MgO(001) have been successfully grown by RMBE. LEED and XPS experiments have proven that the surface near regions of the distinct films have high structural and stoichiometric properties. Here, too, the detailed ’bulk’ structural characterization of Fe3O4/NiO bilayers were carried out using XRD. It was shown that the Fe3O4 films grow homogeneously and smoothly on NiO films if the NiO film thickness is below 24 nm. Above this NiO film thickness the structural quality of the magnetite films gets distinctly worse. This behavior can be attributed to the fact that the interface roughness between NiO and Fe3O4 depends on the NiO film thickness. The roughness of the 3 nm NiO film is rather small and it is rising obviously with increasing NiO film thickness. Thus, the structural quality of the magnetite films grown on 30 nm NiO films is constantly reduced with increasing magnetite film thickness since the quality of the Fe3O4 films is influenced by the quality of the Fe3O4/NiO interface. In the third study the influence of initial iron buffer layers on the magnetic properties of magnetite grown on MgO(001) substrates has been investigated. In situ XPS and LEED indicate that the structural and stoichiometric properties of the surface near region of the magnetite films are not influenced by the iron buffer layer. However, the structural and magnetic properties of the whole film have changed compared to magnetite grown directly on MgO as shown by XRD and MOKE. The crystalline quality is poor and the magnetic easy axis of the magnetic in-plane anisotropy is rotated by 45◦ compared to magnetite films grown directly on MgO. Both crystalline quality and the rotation of the magnetic in-plane anisotropy show no dependence on the film thickness. However, the strength of the magnetocrystalline anisotropy decreases with increasing film thickness. XPS and XRD measurements have indicated that the iron buffer layer is completely oxidized during the second growth stage of the magnetite. The small Kerr rotation in the MOKE experiments of the samples with film thicknesses up to 28 nm confirms this result since a remaining iron film would cause a higher Kerr rotation. In the last part of this thesis the structural and magnetic properties of a partially oxidized, a completely oxidized and a metallic iron film are analyzed. The partially oxidized iron film is a bilayer with a metallic iron film and an iron oxide film. The surface near stoichiometry of both oxidized iron films correspond to magnetite as proven by XPS. The structural analysis by XRD reveals that though these magnetite films are crystalline, they have an inhomogeneous thickness. The magnetization curves of the partially oxidized film (bilayer) measured by MOKE exhibit a magnetic saturation which is comparable to the magnetic saturation of the single metallic iron film. However, the coercive field is higher compared to the single metallic iron film due to the high interface roughnesses. Considering the coercive field as a function of the sample rotation α the bilayer exhibits a fourfold anisotropy with eight maxima. However, the angular dependence of the magnetic remanence features a simple fourfold anisotropy with easy axes in h110i directions of MgO(001). Vector MOKE analysis displays that the magnetic reversal processes of the bilayer are similar to single metallic iron films. Thus, the bilayer exhibits mostly the magnetic properties of a single iron film. The bilayer has the same magnetic easy axis and a similar magnetic saturation. The magnetic easy axis of the magnetic in-plane anisotropy of the completely oxidized iron film is rotated by 45◦ compared to magnetite films grown directly on MgO as already observed in Ref. [148]. The completely oxidized iron film exhibits also a significantly increased coercive field due to high surface roughness. A magneto-dynamic investigation of the exchange-coupling of the Fe3O4/Fe bilayer system was carried out to yield all relevant magnetic parameters, such as anisotropies, as well as the coupling constant J1. Here, also a complex fourfold anisotropy was observed, which might be due to a coupling of a perpendicular spin-wave mode in the magnetite layer with the acoustical coupling mode. We have also successfully calculated the angular dependence of the resonance field of all films using the eighth order of the magnetocrystalline anisotropy. Although we have applied many measurement methods, we have found no explanation for the complex fourfold angular dependence of the coercive field of the bilayer. Nevertheless, this bilayer provides interesting properties for application in MTJs due to its enhanced magnetic properties like complex fourfold magnetic anisotropy and higher coercive field and remanence. All in all, we have shown that the structural and magnetic properties of magnetite films are strongly influenced by interlayers between film and substrate. While magnetite films directly deposited on MgO exhibit a homogeneous film thickness, both NiO interlayers with a thickness above 24 nm and initially grown iron films deteriorate the structural quality of the on top grown magnetite films. In addition, the magnetic fourfold anisotropy is rotated by 45◦ in comparison to magnetite films grown directly on MgO for the structurally disturbed magnetite on iron pre-covered MgO substrates. Here, further investigations are necessary to understand why this anisotropy rotation occurs and how we can improve the structural quality of magnetite on iron and NiO. The growth of magnetite by oxidizing previously deposited iron films leads to crystalline magnetite films but with inhomogeneous film thicknesses. In case of a Fe3O4/Fe bilayer, the magnetic properties are drastically changed due to the magnetic coupling between the iron and the magnetite film.

The thesis is devoted to magnetic metamaterials operating in the frequency range of 10 MHz 1 GHz. Mechanisms of tailoring the properties of metamaterials are developed and a number of linear and nonlinear applications is proposed.In Chapter 1, the introduction to the field of metamaterials is given and the main goal of the thesis is defined as the search for possible applications of low-frequency metamaterials. The main motivation is the potential of magnetic metamaterials in Magnetic Resonance Imaging (MRI).Chapter 2 briefly summarizes the near-field properties of magnetic metamaterials. Magnetic coupling between a pair of metamaterial elements is described and magnetoinductive (MI) waves propagating on the metamaterials arrays are introduced.In Chapter 3, the magnetic coupling between the elements is studied in more detail. Based on the analogy between MI waves and acoustic waves in solids, "diatomic" metamaterial arrays having two elements per unit cell are introduced. It is shown that by changing the resonant frequencies of the elements and the coupling between them it is possible to acquire additional freedom in tailoring the dispersion properties of MI waves compared to simple "monatomic" configurations.In Chapter 4, various linear applications of metamaterials are discussed. They are shift-dependent transmission, subwavelength imaging and focusing, and rotational resonance of MI waves. It is shown that the microscopic model based on taking the interaction between the elements into account allows for reliable explanation of the phenomena studied.In Chapter 5, a nonlinear application, parametric amplification of MI waves, is discussed. It is shown that parametric amplification can lead to the compensation of loss in metamaterials and to increase of the power extracted from an MRI detection system.Conclusions are drawn and possible directions for future work are determined in Chapter 6.

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Since many years, the importance of thin layers increases for lots of technical uses. Beginning in the field of microelectronics, the use of thin layers spread increasingly to other areas. Coatings for surface refining and optimisation of the mechanical properties for material engineering, customisation of the surface chemistry in catalysts, as well influencing of the transmission and reflection characteristics of surfaces in optics are only some examples of the high scientific and economic weight of the thin layer technology. Thin magnetic layers are the basis of many known storage media ranging from the tape recorder to the hard disk up to the credit card. Nowadays, these thin layers again gain interest in the research field of nanoelectronics as ultrathin layers. So-called spinvalve-read/write heads being already installed in actual hard disks use the Tunnel Magneto Resistance effect for a significant rise in memory density synonymous capacity. Such read/writeheads consist of a magnetic layersystem. This use of the magnetic as well as the electric characteristics of the electrons is called spintronics. The iron oxide magnetite exhibits a high iron portion, is strong antiferrimagnetic and has a high Curie-temperature. Since many years, it is used as a magnetic pigment on already mentioned magnetic tapes. Literature [1, 2, 3, 4] considers ultrathin epitaxial layers of magnetite on magnesium oxide for uses in the spintronics as a most promising candidate, because it inheres a complete spin polarisation at Fermi-level. Moreover, thin magnetite layers serve in the chemical industry as a catalyst in the Haber- Bosch-procedure and to the dehydration of ethylbenzene to styrene. Being already used and considered to be of ongoing interest, ultrathin magnetite layers offer a wide range of technological applications in many modern industrial and scientific fields. Because there is, nevertheless, a variety of other iron oxide (cf. chapter 4), it is a matter to determine the special growth conditions of magnetite. These ultrathin iron oxide layers were grown reactively on the (001)-surfaces of the magnesium oxide substrate by molecular beam epitaxy. Besides, the surface is examined by the diffraction of low-energy electrons concerning its crystalline structure. X-ray photo electron spectroscopy approaching the stochiometry completes these first characterisations. Other investigations are carried out at HASYLAB / DESY in Hamburg by X-ray reflectivity and X-ray diffraction. The exact thickness of the layers, its crystal properties in bulk, as well as the thickness of the crystalline portion of the layers can be determined among other features of the system. The evaluation of XRR-and XRD-investigations is done via simulations with in chapter 5 introduced software packages. The reader finds the theoretical backgrounds to the used techniques in chapter 3. The experimental setups in Osnabr¨uck and Hamburg as well as the backgrounds to the preparation are presented in chapter 5. Because the formation of the different iron oxides is described in literature [5, 6, 7, 8] as mostly depending on annealing temperatures, the experimental results in chapter 6 are graded accordingly. The dependence on temperature, layer thickness and annealing time should be examined for the iron oxides possible on this substrate. The aim of this work is the preparation of ultrathin epitaxial iron oxide layers with thicknesses up to few nanometers. The main goal is to find the growth parameters for ultrathin crystalline magnetite layers.

This work investigates the growth dynamic of the reactive molecular beam epitaxy of Fe3O4 films, and its impact on the cation distribution as well as on the magnetic and structural properties at the surface and the interfaces. In order to study the structure and composition of Fe3O4 films during growth, time-resolved high-energy x-ray diffraction (tr-HEXRD) and time-resolved hard x-ray photoelectron spectroscopy (tr-HAXPES) measurements are used to monitor the deposition process of Fe3O4 ultrathin films on SrTiO3(001), MgO(001) and NiO/MgO(001). For Fe3O4\SrTiO3(001) is found that the film first grows in a disordered island structure, between thicknesses of 1.5nm to 3nm in FeO islands and finally in the inverse spinel structure of Fe3O4, displaying (111) nanofacets on the surface. The films on MgO(001) and NiO/MgO(001) show a similar result, with the exception that the films are not disordered in the early growth stage, but form islands which immediately exhibit a crystalline FeO phase up to a thickness of 1nm. After that, the films grown in the inverse spinel structure on both MgO(001) and NiO/MgO(001). Additionally, the tr-HAXPES measurements of Fe3O4/SrTiO3(001) demonstrate that the FeO phase is only stable during the deposition process, but turns into a Fe3O4 phase when the deposition is interrupted. This suggests that this FeO layer is a strictly dynamic property of the growth process, and might not be retained in the as-grown films. In order to characterize the as-grown films, a technique is introduced to extract the cation depth distribution of Fe3O4 films from magnetooptical depth profiles obtained by fitting x-ray resonant magnetic reflectivity (XRMR) curves. To this end, x-ray absorption (XAS) and x-ray magnetic circular dichroism (XMCD) spectra are recorded as well as XRMR curves to obtain magnetooptical depth profiles. To attribute these magnetooptical depth profiles to the depth distribution of the cations, multiplet calculations are fitted to the XMCD data. From these calculations, the cation contributions at the three resonant energies of the XMCD spectrum can be evaluated. Recording XRMR curves at those energies allows to resolve the magnetooptical depth profiles of the three iron cation species in Fe3O4. This technique is used to resolve the cation stoichiometry at the surface of Fe3O4/MgO(001) films and at the interfaces of Fe3O4/MgO(001) and Fe3O4/NiO. The first unit cell of the Fe3O4(001) surface shows an excess of Fe3+ cations, likely related to a subsurface cation-vacancy reconstruction of the Fe3O4(001) surface, but the magnetic order of the different cation species appears to be not disturbed in this reconstructed layer. Beyond this layer, the magnetic order of all three iron cation species in Fe3O4/MgO(001) is stable for the entire film with no interlayer or magnetic dead layer at the interface. For Fe3O4/NiO films, we unexpectedly observe a magnetooptical absorption at the Ni L3 edge in the NiO film corresponding to a ferromagnetic order throughout the entire NiO film, which is antiferromagnetic in the bulk. Additionally, the magnetooptical profiles indicate a single intermixed layer containing both Fe2+ and Ni2+ cations.

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