Influence of defects and disorder on anomalous Hall effect and spin Seebeck effect on permalloy and Heusler compounds

In dieser Arbeit wurden dünne Schichten von Heusler-Verbindungen hergestellt und auf ihre Transporteigenschaften hin untersucht.rnDer Anomale Hall-Effekt (AHE) ist dabei von besonderem Interesse. Er ist ein seit langer Zeit bekannter, jedoch noch nicht vollständig verstandener Transport-Effekt. Die meisten Veröffentlichungen theoretischer Arbeiten konzentrieren sich auf den Einfluss eines bestimmten Beitrags zum AHE. Tatsächlich gemessene experimentelle Daten können jedoch oft nicht in Einklang mit idealisierten Annahmen gebracht werden. rnDie vorliegende Arbeit diskutiert die Ergebnisse, welche aus Messungen von Materialien mit niedrigem Restwiderstand erhalten wurden. rnrnAls prototypische Materialien wurden hier hyphenation Heusler-Verbindungen untersucht. Als Material mit einer komplexen Topologie der Fermi-Fläche zeichnet sich dort der Einfluss von Defekten und der Unordnung der Kristallstruktur deutlich ab.rnrnDurch Verwendung von Filmen mit unterschiedlichem Grad der Unordnung können verschiedene Streumechanismen unterschieden werden. Für Co$_{2}$FeSi$_{0.6}$Al$_{0.4}$ and Co$_{2}$FeGa$_{0.5}$Ge$_{0.5}$ zeigt sich ein positiver AHE bei einer Unordnung vom Typ B2 und bei einer induzierten temperaturabh"angigen Streuung, wo hingegen eine Typ DO$_{3}$-Unordnung zusammen mit anderen möglichen intrinsischen Beiträgen einen negativen Effekt hervorruft.rnrnDarüber hinaus wurden die magneto-optische Kerr-Effekte (MOKE) dieser Verbindungen untersucht. Hierfür wurden Beiträge erster Ordnung als Funktion der intrinsischen und extrinsischen Parameter qualitativ analysiert. Auf den Einfluss der kristallinen Ordnung auf Beiträge zweiter Ordnung des MOKE-Signals wird ebenfalls eingegangen.rnrnDes Weiteren wurden dünne Schichten der Heusler-Verbindung Co$_{2}$MnAl auf MgO- und Si-Subs-traten (beide (100)) mit Hochfrequenz-Mag-netron-Sputtern erzeugt. Die zusammensetzung sowie die magnetischen und Transport-Eigenschaften wurden hinsichtlich unterschiedlicher Abscheidebedingungen systematisch untersucht.rnrnInsbesondere zeigt der AHE-Widerstand ein außerordentliches temperaturunabhängiges Verhalten in einem Bereich moderater Magnetfeldstärken von 0 bis 0.6,T. Hierf"ur wurde der nicht-diagonale Transport bei Temperaturen bis zu 300,$^{circ}$C analysiert. Die Daten zeigen die Eignung des Materials für Hall-Sensoren auch oberhalb der Raumtemperatur.rnrnJüngst wurde der Spin Seebeck-Effekt (SSE) entdeckt. Der Effekt aus dem Bereich der Spin-Kaloritronik erzeugt eine Spin-Spannung'' aufgrund eines Temperaturgradienten in magnetischen Materialien. Hier werden vorläufige Messungen des SSE in Ni$_{80}$Fe$_{20}$ und in Heusler-Verbindungen präsentiert.rn

Computer simulations of two-dimensional colloidal crystals under confinement and shear

In this thesis we are presenting a broadly based computer simulation study of two-dimensional colloidal crystals under different external conditions. In order to fully understand the phenomena which occur when the system is being compressed or when the walls are being sheared, it proved necessary to study also the basic motion of the particles and the diffusion processes which occur in the case without these external forces. In the first part of this thesis we investigate the structural transition in the number of rows which occurs when the crystal is being compressed by placing the structured walls closer together. Previous attempts to locate this transition were impeded by huge hysteresis effects. We were able to determine the transition point with higher precision by applying both the Schmid-Schilling thermodynamic integration method and the phase switch Monte Carlo method in order to determine the free energies. These simulations showed not only that the phase switch method can successfully be applied to systems with a few thousand particles and a soft crystalline structure with a superimposed pattern of defects, but also that this method is way more efficient than a thermodynamic integration when free energy differences are to be calculated. Additionally, the phase switch method enabled us to distinguish between several energetically very similar structures and to determine which one of them was actually stable. Another aspect considered in the first result chapter of this thesis is the ensemble inequivalence which can be observed when the structural transition is studied in the NpT and in the NVT ensemble. The second part of this work deals with the basic motion occurring in colloidal crystals confined by structured walls. Several cases are compared where the walls are placed in different positions, thereby introducing an incommensurability into the crystalline structure. Also the movement of the solitons, which are created in the course of the structural transition, is investigated. Furthermore, we will present results showing that not only the well-known mechanism of vacancies and interstitial particles leads to diffusion in our model system, but that also cooperative ring rotation phenomena occur. In this part and the following we applied Langevin dynamics simulations. In the last chapter of this work we will present results on the effect of shear on the colloidal crystal. The shear was implemented by moving the walls with constant velocity. We have observed shear banding and, depending on the shear velocity, that the inner part of the crystal breaks into several domains with different orientations. At very high shear velocities holes are created in the structure, which originate close to the walls, but also diffuse into the inner part of the crystal.

Hypersonic phonon propagation in mesoscopic systems by Brillouin spectroscopy

Phononic crystals, capable to block or direct the propagation of elastic/acoustic waves, have attracted increasing interdisciplinary interest across condensed matter physics and materials science. As of today, no generalized full description of elastic wave propagation in phononic structures is available, mainly due to the large number of variables determining the band diagram. Therefore, this thesis aims for a deeper understanding of the fundamental concepts governing wave propagation in mesoscopic structures by investigation of appropriate model systems. The phononic dispersion relation at hypersonic frequencies is directly investigated by the non-destructive technique of high-resolution spontaneous Brillouin light scattering (BLS) combined with computational methods. Due to the vector nature of the elastic wave propagation, we first studied the hypersonic band structure of hybrid superlattices. These 1D phononic crystals composed of alternating layers of hard and soft materials feature large Bragg gaps. BLS spectra are sensitive probes of the moduli, photo-elastic constants and structural parameters of the constituent components. Engineering of the band structure can be realized by introduction of defects. Here, cavity layers are employed to launch additional modes that modify the dispersion of the undisturbed superlattice, with extraordinary implications to the band gap region. Density of states calculations in conjunction with the associated deformation allow for unambiguous identication of surface and cavity modes, as well as their interaction with adjacent defects. Next, the role of local resonances in phononic systems is explored in 3D structures based on colloidal particles. In turbid media BLS records the particle vibration spectrum comprising resonant modes due to the spatial confinement of elastic energy. Here, the frequency and lineshapes of the particle eigenmodes are discussed as function of increased interaction and departure from spherical symmetry. The latter is realized by uniaxial stretching of polystyrene spheres, that can be aligned in an alternating electric field. The resulting spheroidal crystals clearly exhibit anisotropic phononic properties. Establishing reliable predictions of acoustic wave propagation, necessary to advance, e.g., optomechanics and phononic devices is the ultimate aim of this thesis.