Field-free control of magnetism in nanostructured materials probed with high resolution X-ray microscopy

Magnetic memories are a backbone of today's digital data storage technology, where the digital information is stored as the magnetic configuration of nanostructured ferromagnetic bits. Currently, the writing of the digital information on the magnetic memory is carried out with the help of magnetic fields. This approach, while viable, is not optimal due to its intrinsically high energy consumption and relatively poor scalability. For this reason, the research for different mechanisms that can be used to manipulate the magnetic configuration of a material is of interest. In this thesis, the control of the magnetization of different nanostructured materials with field-free mechanisms is investigated. The magnetic configuration of these nanostructured materials was imaged directly with high resolution x-ray magnetic microscopy. rnFirst of all, the control of the magnetic configuration of nanostructured ferromagnetic Heusler compounds by fabricating nanostructures with different geometries was analyzed. Here, it was observed that the magnetic configuration of the nanostructured elements is given by the competition of magneto-crystalline and shape anisotropy. By fabricating elements with different geometries, we could alter the point where these two effects equilibrate, allowing for the possibility to tailor the magnetic configuration of these nanostructured elements to the required necessities.rnThen, the control of the magnetic configuration of Ni nanostructures fabricated on top of a piezoelectric material with the magneto-elastic effect (i.e. by applying a piezoelectric strain to the Ni nanostructures) was investigated. Here, the magneto-elastic coupling effect gives rise to an additional anisotropy contribution, proportional to the strain applied to the magnetic material. For this system, a reproducible and reversible control of the magnetic configuration of the nanostructured Ni elements with the application of an electric field across the piezoelectric material was achieved.rnFinally, the control of the magnetic configuration of La0.7Sr0.3MnO3 (LSMO) nanostructures with spin-polarized currents was studied. Here, the spin-transfer torque effect was employed to achieve the displacement of magnetic domain walls in the LSMO nanostructures. A high spin-transfer torque efficiency was observed for LSMO at low temperatures, and a Joule-heating induced hopping of the magnetic domain walls was observed at room temperatures, allowing for the analysis of the energetics of the domain walls in LSMO.rnThe results presented in this thesis give thus an overview on the different field-free approaches that can be used to manipulate and tailor the magnetization configuration of a nanostructured material to the various technological requirements, opening up novel interesting possibilities for these materials.

Étude de la phase isolant topologique chez le composé demi-Heusler GdBiPt.

Il sera question dans ce mémoire de maîtrise de l’étude d’une nouvelle classification des états solides de la matière appelée isolant topologique. Plus précisément, nous étudierons cette classification chez le composé demi-Heusler GdBiPt. Nous avons principalement cherché à savoir si ce composé ternaire est un isolant topologique antiferromagnétique. Une analyse de la susceptibilité magnétique ainsi que de la chaleur spécifique du maté- riau montre la présence d’une transition antiferromagnétique à 8.85(3) K. Une mesure d’anisotropie de cette susceptibilité montre que les plans de spins sont ordonnés sui- vant la direction (1,1,1) et finalement des mesures de résistivité électronique ainsi que de l’effet Hall nous indiquent que nous avons un matériau semimétallique lorsque nous sommes en présence d’antiferromagnétisme. Présentement, les expériences menées ne nous permettent pas d’associer cet état métallique aux états surfaciques issus de l’état d’isolant topologique.

Computational studies on the structure and stabilities of magnetic inter-metallic compounds

The purpose of this thesis is to further the understanding of the structural, electronic and magnetic properties of ternary inter-metallic compounds using density functional theory (DFT). Four main problems are addressed. First, a detailed analysis on the ternary Heusler compounds is made. It has long been known that many Heusler compounds ($X_2YZ$; $X$ and $Y$ transition elements, $Z$ main group element) exhibit interesting half-metallic and ferromagnetic properties. In order to understand these, the dependence of magnetic and electronic properties on the structural parameters, the type of exchange-correlation functional and electron-electron correlation was examined. It was found that almost all Co$_2YZ$ Heusler compounds exhibit half-metallic ferromagnetism. It is also observed that $X$ and $Y$ atoms mainly contribute to the total magnetic moment. The magnitude of the total magnetic moment is determined only indirectly by the nature of $Z$ atoms, and shows a trend consistent with Slater-Pauling behaviour in several classes of these compounds. In contrast to experiments, calculations give a non-integer value of the magnetic moment in certain Co$_2$-based Heusler compounds. To explain deviations of the calculated magnetic moment, the LDA+$U$ scheme was applied and it was found that the inclusion of electron-electron correlation beyond the LSDA and GGA is necessary to obtain theoretical description of some Heusler compounds that are half-metallic ferromagnets. The electronic structure and magnetic properties of substitutional series of the quaternary Heusler compound Co$_2$Mn$_{1-x}$Fe$_x$Si were investigated under LDA+$U$. The calculated band structure suggest that the most stable compound in a half-metallic state will occur at an intermediate Fe concentration. These calculated findings are qualitatively confirmed by experimental studies. Second, the effect of antisite disordering in the Co$_2$TiSn system was investigated theoretically as well as experimentally. Preservation of half-metallicity for Co$_2$TiSn was observed with moderate antisite disordering and experimental findings suggest that the Co and Ti antisites disorder amounts to approximately 10~% in the compound. Third, a systematic examination was carried out for band gaps and the nature (covalent or ionic) of bonding in semiconducting 8- and 18-electron or half-metallic ferromagnet half-Heusler compounds. It was found that the most appropriate description of these compounds from the viewpoint of electronic structures is one of a $YZ$ zinc blende lattice stuffed by the $X$ ion. Simple valence rules are obeyed for bonding in the 8- and 18-electron compounds. Fourth, hexagonal analogues of half-Heusler compounds have been searched. Three series of compounds were investigated: GdPdSb, GdAutextit{X} (textit{X} = Mn, Cd and In) and EuNiP. GdPdSb is suggested as a possible half-metallic weak ferromagnet at low temperature. GdAutextit{X} (textit{X} = Mn, Cd and In) and EuNiP were investigated because they exhibit interesting bonding, structural and magnetic properties. The results qualitatively confirm experimental studies on magnetic and structural behaviour in GdPdSb, GdAutextit{X} (textit{X} = Mn, Cd and In) and EuNiP compounds. ~

Wachstum und Transporteigenschaften dünner Co-basierter Heusler-Filme

For the advancement of spinelectronicsmuch importance is attached to Heusler compounds. Especially compounds with the stoichiometry Co2YZ are supposed to exhibit a large asymmetry between majority and minority electrons at the Fermi edge. Ideally, only majority states are present. This property leads to high magnetoresistive effects. However, the experimental results available at present fall behind the expectations. In particular, a strong reduction of the spin asymmetry with increasing temperature is problematic. For this reason,rnthe investigation of further representatives of this material class as well as optimization of their deposition is required. Therefore, during the course of this work thin Heusler films with the composition Co2Cr0.6Fe0.4Al and Co2Mn1−xFexSi were fabricated. At first, this was accomplished by sputter deposition, which is the standard technique for the preparation of thin Heuslerrnfilms. It resulted also here in samples with high structural order. On the other hand, these films exhibit only a reduced magnetic moment. To improve this situation, a laser ablation system was constructed. The resulting film deposition under ultra-high vacuum led to a clear improvement especially of the magnetic properties. In addition to the improved deposition conditions, this method allowed the flexible variation of the film stoichiometry as well. This possibility was successfully demonstrated in this work by deposition of epitaxial Co2Mn1−xFexSi films. The availableness of these high quality quaternary alloys allowed the systematic investigation of their electronic properties. Band structure calculations predict that the substitution of Mn by Fe lead to a shift of the Fermi energy over the minority energy gap, whereas the density of states remains nearly unchanged. This prediction could by tested by electronic transport measurements. Especially the normal Hall effect, which was measured at these samples, shows a transition from a hole-like charge transport in Co2MnSi to an electron-like transport in Co2FeSi. This is in accordance with corresponding band structure calculations as well as with comparative XMCD experiments. Furthermore, the behavior of the anomalous Hall effect was studied. Here it could be seen, that the effect is influenced by two mechanisms: On the one hand an intrinsic contribution, caused by the topology of the Fermi surface and on the other hand by temperature dependent impurity scattering. These two effects have an opposing influence on the anomalous Hall effect. This can lead to a sign reversal of the anomalous contribution. This behavior has been predicted just recently and was here systematically investigated for the first time for Heusler compounds.

Magnetic spectroscopy and microscopy of functional materials

Heusler intermetallics Mn$_{2}Y$Ga and $X_{2}$MnGa ($X,Y$=Fe, Co, Ni) undergo tetragonal magnetostructural transitions that can result in half metallicity, magnetic shape memory, or the magnetocaloric effect. Understanding the magnetism and magnetic behavior in functional materials is often the most direct route to being able to optimize current materials and design future ones.rnrnSynchrotron soft x-ray magnetic spectromicroscopy techniques are well suited to explore the the competing effects from the magnetization and the lattice parameters in these materials as they provide detailed element-, valence-, and site-specific information on the coupling of crystallographic ordering and electronic structure as well as external parameters like temperature and pressure on the bonding and exchange.rnrnFundamental work preparing the model systems of spintronic, multiferroic, and energy-related compositions is presented for context. The methodology of synchrotron spectroscopy is presented and applied to not only magnetic characterization but also of developing a systematic screening method for future examples of materials exhibiting any of the above effects. rnrnChapters include an introduction to the concepts and materials under consideration (Chapter 1); an overview of sample preparation techniques and results, and the kinds of characterization methods employed (Chapter 2); spectro- and microscopic explorations of $X_2$MnGa/Ge (Chapter 3); spectroscopic investigations of the composition series Mn$_{2}Y$Ga to the logical Mn$_3$Ga endpoint (Chapter 4); and a summary and overview of upcoming work (Chapter 5). Appendices include the results of a “Think Tank” for the Graduate School of Excellence MAINZ (Appendix A) and details of an imaging project now in progress on magnetic reversal and domain wall observation in the classical Heusler material Co$_2$FeSi (Appendix B).

Röntgenabsorptionsspektroskopie und magnetischer Röntgenzirkulardichroismus an dünnen Heusler-Filmen

Verbindungen aus nicht ferromagnetischen Bestandteilen, die ferromagnetische Eigenschaf-ten zeigen, sind seit Anfang des 20. Jahrhunderts bekannt und werden nach ihrem Entdecker als Heusler-Verbindungen bezeichnet. Seitdem haben sie nichts von ihrer Faszination eingebüßt, besitzen sie doch eine Fülle besonderer Eigenschaften mit Anwendungen z.B. in der Spintronik.rnAuf der Suche nach geeigneten Legierungen ist es wünschenswert, zunächst grundlegende Eigenschaften wie das magnetische Moment elementspezifisch bestimmen zu können. Hierfür sind Methoden wie Röntgenabsorptionsspektroskopie und magnetischer Röntgenzirkulardichroismus (XAS/XMCD) prädestiniert.rnIm Rahmen dieser Arbeit wurde eine Apparatur entwickelt, mit deren Hilfe XAS- und XMCD-Messungen an dünnen Heusler-Filmen durchgeführt werden können. Da Grenzflächeneigenschaften von besonderem Interesse sind, wurde der experimentelle Aufbau so gewählt, dass gleichzeitig Volumen und Oberflächeneigenschaften untersucht werden können. Durch Vergleich dieser Messdaten erhält man Zugang zu den Grenzflächeneigenschaften.rnSo konnte mit XAS-Messungen nachgewiesen werden, dass sich die chemischen Eigenschaften an der Grenzfläche mancher Filme von denen im Volumen des Films unterscheiden (Oxidation bzw. Interdiffusion der Abdeckschicht). Auch stöchiometrische Unterschiede zwischen Oberfläche und Volumen konnten so identifiziert werden.rnMit Hilfe von XMCD-Messungen wurden elementspezifische magnetische Momente bestimmt und mit theoretischen Vorhersagen verglichen. Auch hierbei konnten Oberflächen- und Volumenmomente miteinander verglichen werden. So wurde z.B. unter Verwendung einer Schichtserie die Anzahl magnetischer Totlagen an beiden Grenzflächen bestimmt. Diese Informationen sind wichtig, um die Qualität dünner Filme steigern zu können.rnDes Weiteren war es auch möglich, temperaturabhängige Änderungen in der Ni2MnGa Zustandsdichte, die von der Theorie vorhergesagt wurden, in den XAS-Spektren nachzuweisen. Schließlich wurde noch eine Methode entwickelt, die es erlaubt, unter bestimmten Voraussetzungen auf die partielle unbesetzte Zustandsdichte (PDOS) zu schließen. Dies liefert wichtige Hinweise auf Lage und Breite der bisher nur theoretisch vorhergesagten Bandlücke. Es ist mit der hier vorgestellten Methode nicht möglich, die gesamte PDOS für alle Elemente zu vermessen, doch können so relativ leicht vielversprechende Kandidaten für weitere Untersuchungen gefunden werden.rn

Spectroscopic investigations of functional bulk and thin film Heusler alloys

Functional and smart materials have gained large scientific and practical interest in current research and development. The Heusler alloys form an important class of functional materials used in spintronics, thermoelectrics, and for shape memory alloy applications. An important aspect of functional materials is the adaptability of their physical properties. In this work functional polycrystalline bulk and epitaxial thin film Heusler alloys are characterized by means of spectroscopic investigation methods, X-ray magnetic circular dichroism (XMCD) and energy dispersive X-ray analysis (EDX). With EDX the homogeneity of the samples is studied extensively. For some cases of quaternary compounds, for example Co2(MnxTi1−x)Sn and Co2(Mn0.5Dy0.5)Sn, an interesting phase separation in two nearly pure ternary Heusler phases occurs. For these samples the phase separation leads to an improvement of thermoelectric properties. XMCD as the main investigation method was used to study Co2TiZ (Z = Si, Sn, and Sb), Co2(MnxTi1−x)Si, Co2(MnxTi1−x)Ge, Co2Mn(Ga1−xGex), Co2FeAl, Mn2VAl, and Ni2MnGa Heusler compounds. The element-specific magnetic moments are calculated. Also, the spin-resolved unoccupied density of states is determined, for example giving hints for half-metallic ferromagnetism for some Co-based compounds. The systematic change of the magnetic moments and the shift of the Fermi energy is a proof that Heusler alloys are suitable for a controlled tailoring of physical properties. The comparison of the experimental results with theoretical predictions improves the understanding of complex materials needed to optimize functional Heusler alloys.

Density-functional description of superconducting and magnetic proximity effects across a tunneling barrier

A density-functional formalism for superconductivity and magnetism is presented. The resulting relations unify previously derived Kohn-Sham equations for superconductors and for noncollinear magnetism. The formalism, which discriminates Cooper-pair singlets from triplets, is applied to two quantum liquids coupled by tunneling through a barrier. An exact expression is derived, relating the eigenstates and eigenvalues of the Kohn-Sham equations, unperturbed by tunneling, on one side of the barrier to the proximity-induced ordering potential on the other.

Superconductivity in Mo(5)SiB(2)

In the Mo-Si binary system. Mo(5)Si(3) crystallizes in the W(5)Si(3) (T(1) phase) structure type. However, when boron replaces silicon in this compound, a structural transition occurs from the W(5)Si(3) prototype structure to the Cr(5)B(3) prototype structure (T(2) phase) at the composition Mo(5)SiB(2). Mo(5)SiB(2) has received much attention in the literature as a candidate for structural application in high-temperature turbines, but its electronic and magnetic behavior has not been explored. In this work, we show that Mo(5)SiB(2) is a bulk superconducting material with critical temperature close to 5.8 K. The specific-heat, resistivity and magnetization measurements reveal that this material is a conventional type II BCS superconductor. (C) 2011 Elsevier Ltd. All rights reserved.

Unconventional correlated systems

This work comprises three different types of unconventional correlated systems.rnChapters 3-5 of this work are about the open shell compounds Rb4O6 and Cs4O6. These mixed valent compounds contain oxygen in two different modifications: the closed-shell peroxide anion is nonmagnetic, whereas the hyperoxide anion contains an unpaired electrons in an antibonding pi*-orbital. Due to this electron magnetic ordering is rendered possible. In contrast to theoretical predictions, which suggested half-metallic ferromagnetism for Rb4O6,rndominating antiferromagnetic interactions were found in the experiment. Besidesrna symmetry reduction due to the mixed valency, strong electronic correlations of this highly molecular system determine its properties; it is a magnetically frustrated insulator. The corresponding Cs4O6 was found to show similar properties.rnChapters 6-9 of this work are about intermetallic Heusler superconductors. rnAll of these superconductors were rationally designed using the van Hove scenario as a working recipe. A saddle point in the energy dispersion curve of a solid leads to a van Hove singularity in the density of states. In the Ni-based and Pd-based Heusler superconductors presented in this work this sort of a valence instability occurs at the high-symmetry L point and coincides or nearly coincides with the Fermi level. The compounds escape the high density of states at the Fermi energy through a transition into the correlated superconducting state.rnChapter 10 of this work is about the tetragonally distorted ferrimagnetic DO22 phase of Mn3Ga. This hard-magnetic modification is technologically useful for spin torque transfer applications. The phase exhibits two different crystallographic sites that are occupied by Mn atoms and can thus be written as Mn2MnGa. The competition between the mainly itinerant moments of the Mn atoms at the Wyckoff position 4d and the localized moments of the Mn atoms at the Wyckoff position 2b leads to magnetic correlations. The antiferromagnetic orientation of these moments determines the compound to exhibit a resulting magnetic moment of approximately 1 µB per formula unit in a partially compensated ferrimagnetic configuration.

An investigation into complex inorganic materials with Mössbauer spectroscopy

Mössbauer Spektroskopie ist ein unverzichtbares Instrument für die Bestimmung von Oxidationszuständen und für die Analyse von lokalen Ordnungsphänomenen von Mössbauer aktiven Atomen. Weil es sich um eine lokale Methode handelt können sowohl kristalline als auch amorphe Materialien untersucht werden. Die Kombination von lokaler Prüfung mit Mössbauer Spektroskopie und globaler Untersuchung z.B. mit Röntgendiffraktometrie ermöglicht die Studie von Ordnungseffekten von statistisch besetzten Positionen in einer geordneten Matrix. Das wurde hier eingesetzt um die lokale Umgebung in zwei Serien von Heuslerverbindungen, Co2-xFe1+xSi and Co2Mn1-xFexAl zu untersuchen. Für die Co2Mn1-xFexAl Serie wurde eine L21 geordnete Phase in einer insgesamt B2 geordneten Probe detektiert. Ein Wechsel von der AlCu2Mn zu der CuHg2Ti Struktur wurde für die Co2-xFe1+xSi Proben gefunden. Die Transformation von einem Glas zu einem keramischen Material wurde mit 119Sn Mössbauer Spektroskopie untersucht. Die höhere Ordnung in der Keramik wurde von einer kleiner werdenden Mössbauerlinienbreite begleitet. Demzufolge geben die Modifikationen der Sn Umgebungen klar die Transformation des gesamten Materials wieder. Ist die lokale Umgebung von unregelmäßig auftretenden Atomen in einer amorphen Matrix von Interesse, sind lokal prüfende Methoden die zuverlässigsten Methoden die zur Verfügung stehen. In dieser Arbeit wurde 119Sn Mössbauer Spektroskopie eingesetzt um die Oxidationszustände, die lokalen Umgebungen und relativen Intensitäten von Zinn Atomen in einer Silikatmatrix zu bestimmen. Modifikationen dieser Parameter als Funktion von Prozess bestimmenden Parametern wie der Sauerstoffpartialdruck, die Temperatur, die Behandlungsdauer und der Abkühlprozess genauso wie der SnO2 Gehalt sind von Interesse, weil durch Reduktions- und Diffusionsprozesse Änderungen des Koordinations- und des Oxidationszustands der Zinnatome auftreten. Da diese Änderungen in der Glasmatrix verursachen, die das fertige Produkt im industriellen Fertigungsprozess ruinieren können sind diese feinen Veränderungen sehr wichtig. Wenigstens zwei Mössbauerlinien korrespondierend mit zwei verschiedenen Umgebungen für Sn2+ und Sn4+ sind für eine Analyse mit ausreichender Qualität notwendig. Durch Vergleich von den bestimmten Hyperfein Parametern mit den Parametern von Modelsubstanzen werden lokale Umgebungen der Zinnatome entworfen. Für Sn2+ werden zwei auf einer trigonalen Pyramide basierende Umgebungen mit variierender Anzahl von bindenden und nicht-bindenden Sauerstoffatomen formuliert. Für Sn4+ wurde eine tetraedrische und eine oktaedrische Umgebung postuliert. Die relativen Intensitäten der vier Mössbauerlinien wurden um ein Diffusions- und Reaktionsmodell zu entwickeln und um einen Satz von Diffusions- und Transferkoeffizienten zu bestimmen eingesetzt. Die bestimmten Diffusionskoeffizienten stimmen mit den Literaturdaten überein. Der Massentransferkoeffizient ist kleiner als der bestimmte Wert, aber immer noch in der gleichen Größenordnung. Im Gegensatz zu den Erwartungen ist der präsentierte Diffusionskoeffizient für Sn4+ bestimmt als der von Sn2+. Das wiederum kann durch Berücksichtigung von Elektronhoppingprozessen erklärt werden.

Magnetism and photophysics in supramolecular transition-metal compounds

Based on a synthetic strategy, extended anionic, homo and bimetallic oxalato-bridged transition-metal compounds with two (2D) and three-dimensional (3D) connectivities can be synthesized and crystallized. Thereby, the choice of the templating counterions will determine the crystal chemistry. Since the oxalato bridge is a mediator for both antiferro and ferromagnetic interactions between similar and dissimilar metal ions, long-range magnetic ordering will occur. Examples of the determination of magnetic structures in 2D and 3D compounds by means of elastic neutron scattering methods will be discussed. In addition, due to the possibility of the variation of different metal ions in varying oxidation states, interesting photophysical processes can be observed within the extended three-dimensional host/guest systems.

Hyperhoneycomb Iridate β-li_{2}iro_{3} As A Platform For Kitaev Magnetism.

A complex iridium oxide β-Li_{2}IrO_{3} crystallizes in a hyperhoneycomb structure, a three-dimensional analogue of honeycomb lattice, and is found to be a spin-orbital Mott insulator with J_{eff}=1/2 moment. Ir ions are connected to the three neighboring Ir ions via Ir-O_{2}-Ir bonding planes, which very likely gives rise to bond-dependent ferromagnetic interactions between the J_{eff}=1/2 moments, an essential ingredient of Kitaev model with a spin liquid ground state. Dominant ferromagnetic interaction between J_{eff}=1/2 moments is indeed confirmed by the temperature dependence of magnetic susceptibility χ(T) which shows a positive Curie-Weiss temperature θ_{CW}∼+40  K. A magnetic ordering with a very small entropy change, likely associated with a noncollinear arrangement of J_{eff}=1/2 moments, is observed at T_{c}=38  K. With the application of magnetic field to the ordered state, a large moment of more than 0.35  μ_{B}/Ir is induced above 3 T, a substantially polarized J_{eff}=1/2 state. We argue that the close proximity to ferromagnetism and the presence of large fluctuations evidence that the ground state of hyperhoneycomb β-Li_{2}IrO_{3} is located in close proximity of a Kitaev spin liquid.

Structure and magnetism of homometallic ludwigites: Co(3)O(2)BO(3) versus Fe(3)O(2)BO(3)

We present an extensive study of the structural, magnetic, and thermodynamic properties of the oxyborate Co(3)O(2)BO(3). This is carried out through x-ray diffraction, static and dynamic magnetic susceptibilities, and specific heat experiments in single crystals in a large temperature range. The structure of Co(3)O(2)BO(3) is composed of subunits in the form of three-leg ladders where Co ions with mixed valency are located. The magnetic properties of this Co ludwigite are determined by a competition between superexchange and double-exchange interactions in the low-dimensional subunits. We discuss the observed physical properties in comparison with the only other known homometallic ludwigite, Fe(3)O(2)BO(3). The latter presents a structural distortion in the ladders and two magnetic transitions. Both features are not found in the present study of the Co ludwigite. The reason for these differences in the structural and magnetic behavior of two apparently similar compounds is discussed.