The micro-magnetic structures of Mn+ ion-implanted GaSb

The micro-magnetic structures of Mn+ ion-implanted GaSb are studied using a magnetic force microscope (MFM). MFM images reveal that there are many magnetic domains with different magnetization directions in our samples. The magnetic domain structures and the magnetization direction of typical MFM patterns are analyzed by numeric simulation.

Scaling of domain periodicity with thickness measured in BaTiO3 single crystal lamellae and comparison with other ferroics

The focused ion beam microscope has been used to cut parallel-sided {100}-oriented thin lamellae of single crystal barium titanate with controlled thicknesses, ranging from 530 nm to 70 nm. Scanning transmission electron microscopy has been used to examine domain configurations. In all cases, stripe domains were observed with {011}-type domain walls in perovskite unit-cell axes, suggesting 90 degrees domains with polarization in the plane of the lamellae. The domain widths were found to vary as the square root of the lamellar thickness, consistent with Kittel's law, and its later development by Mitsui and Furuichi and by Roytburd. An investigation into the manner in which domain period adapts to thickness gradient was undertaken on both wedge-shaped lamellae and lamellae with discrete terraces. It was found that when the thickness gradient was perpendicular to the domain walls, a continuous change in domain periodicity occurred, but if the thickness gradient was parallel to the domain walls, periodicity changes were accommodated through discrete domain bifurcation. Data were then compared with other work in literature, on both ferroelectric and ferromagnetic systems, from which conclusions on the widespread applicability of Kittel's law in ferroics were made.

Wall thickness dependence of the scaling law for ferroic stripe domains

The periodicity of 180 degrees. stripe domains as a function of crystal thickness scales with the width of the domain walls, both for ferroelectric and for ferromagnetic materials. Here we derive an analytical expression for the generalized ferroic scaling factor and use this to calculate the domain wall thickness and gradient coefficients ( exchange constants) in some ferroelectric and ferromagnetic materials. We then use these to discuss some of the wider implications for the physics of ferroelectric nanodevices and periodically poled photonic crystals.

The influence of Notches on Domain Dynamics in Ferroelectric Nanowires

The extent to which notches inhibit axial switching of polarization in ferroelectric nanowires was investigated by monitoring the switching behavior of single crystal BaTiO(3) wires before and after patterning triangular notches along their lengths. Static zero-field domain patterns suggested a strong domain-notch interaction, implying that notches should act as pinning sites for domain wall propagation. Surprisingly though, notches appeared to assist, rather than inhibit, polar switching. The origin of this effect was rationalized using finite element modeling of the electric field distribution along the notched wire; it was found that the air gap associated with the notch acted to enhance the local field, both in the air, and in the adjacent region of the ferroelectric. It seems that this local field enhancement outweighs any pinning interactions.

Domain Bundle Boundaries in Single Crystal BaTiO3 Lamellae: Searching for Naturally Forming Dipole Flux-Closure / Quadrupole Chains

Naturally occurring boundaries between bundles of 90o stripe domains, which form in BaTiO3 lamellae on cooling through the Curie Temperature, have been characterised using both piezoresponse force microscopy (PFM) and scanning transmission electron microscopy (STEM). Detailed interpretation of the dipole configurations present at these boundaries (using data taken from PFM) shows that, in the vast majority of cases, they are composed of simple zigzag 180° domain walls. Topological information from STEM shows that, occasionally, domain bundle boundaries can support chains of dipole flux closure and quadrupole nanostructures, but these kinds of boundaries are comparatively rare; when such chains do exist, it is notable that singularities at the cores of the dipole structures are avoided. The symmetry of the boundary shows that diads and centres of inversion exist at positions where core singularities should have been expected.

Domain Bundle Boundaries in Single Crystal BaTiO3 Lamellae: Searching for Naturally Forming Dipole Flux-Closure/Quadrupole Chains

Naturally occurring boundaries between bundles of 90° stripe domains, which form in BaTiO3 lamellae on cooling through the Curie Temperature, have been characterized using both piezoresponse force microscopy (PFM) and scanning transmission electron microscopy (STEM). Detailed interpretation of the dipole configurations present at these boundaries (using data taken from PFM) shows that in the vast majority of cases they are composed of simple zigzag 180° domain walls. Topological information from STEM shows that occasionally domain bundle boundaries can support chains of dipole flux closure and quadrupole nanostructures, but these kinds of boundaries are comparatively rare; when such chains do exist, it is notable that singularities at the cores of the dipole
structures are avoided. The symmetry of the boundary shows that diads and centers of inversion exist at positions where core singularities should have been expected.

Substrate Clamping Effects on Irreversible Domain Wall Dynamics in Lead Zirconate Titanate Thin Films

The role of long-range strain interactions on domain wall dynamics is explored through macroscopic and local measurements of nonlinear behavior in mechanically clamped and released polycrystalline lead zirconate-titanate (PZT) films. Released films show a dramatic change in the global dielectric nonlinearity and its frequency dependence as a function of mechanical clamping. Furthermore, we observe a transition from strong clustering of the nonlinear response for the clamped case to almost uniform nonlinearity for the released film. This behavior is ascribed to increased mobility of domain walls. These results suggest the dominant role of collective strain interactions mediated by the local and global mechanical boundary conditions on the domain wall dynamics. The work presented in this Letter demonstrates that measurements on clamped films may considerably underestimate the piezoelectric coefficients and coupling constants of released structures used in microelectromechanical systems, energy harvesting systems, and microrobots.

Influence of a Single Grain Boundary on Domain Wall Motion in Ferroelectrics

Epitaxial tetragonal 425 and 611 nm thick Pb(ZrTi)O (PZT) films are deposited by pulsed laser deposition on SrRuO-coated (100) SrTiO 24° tilt angle bicrystal substrates to create a single PZT grain boundary with a well-defined orientation. On either side of the bicrystal boundary, the films show square hysteresis loops and have dielectric permittivities of 456 and 576, with loss tangents of 0.010 and 0.015, respectively. Using piezoresponse force microscopy (PFM), a decrease in the nonlinear piezoelectric response is observed in the vicinity (720-820 nm) of the grain boundary. This region represents the width over which the extrinsic contributions to the piezoelectric response (e.g., those associated with the domain density/configuration and/or the domain wall mobility) are influenced by the presence of the grain boundary. Transmission electron microscope (TEM) images collected near and far from the grain boundary indicate a strong preference for (101)/(1-01) type domain walls at the grain boundary, whereas (011)/(01-1) and (101)/(1-01) are observed away from this region. It is proposed that the elastic strain field at the grain boundary interacts with the ferro-electric/elastic domain structure, stabilizing (101)/(1-01) rather than (011)/(01-1) type domain walls, which inhibits domain wall motion under applied field and decreases non-linearity. © 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

Temperature controlled motion of an antiferromagnet- ferromagnet interface within a dopant-graded FeRh epilayer

Chemically ordered B2 FeRh exhibits a remarkable antiferromagnetic-ferromagnetic phase transition that is first order. It thus shows phase coexistence, usually by proceeding though nucleation at random defect sites followed by propagation of phase boundary domain walls. The transition occurs at a temperature that can be varied by doping other metals onto the Rh site. We have taken advantage of this to yield control over the transition process by preparing an epilayer with oppositely directed doping gradients of Pd and Ir throughout its height, yielding a gradual transition that occurs between 350 K and 500 K. As the sample is heated, a horizontal antiferromagnetic-ferromagnetic phase boundary domain wall moves gradually up through the layer, its position controlled by the temperature. This mobile magnetic domain wall affects the magnetisation and resistivity of the layer in a way that can be controlled, and hence exploited, for novel device applications.

A diode for ferroelectric domain-wall motion

For over a decade, controlling domain wall injection, motion and annihilation along nanowires has been the preserve of the nanomagnetics research community. Revolutionary technologies have resulted, like race-track memory and domain wall logic. Until recently, equivalent research in analogous ferroic materials did not seem important. However, with the discovery of sheet conduction, the control of domain walls in ferroelectrics has become vital for the future of what has been termed “domain wall electronics”. Here we report the creation of a ferroelectric domain wall diode, which allows a single direction of motion for all domain walls, irrespective of their polarity, under a series of alternating electric field pulses. The diode’s saw-tooth morphology is central to its function. Domain walls can move readily in the direction in which thickness increases gradually, but are prevented from moving in the other direction by the sudden thickness increase at the saw-tooth edge.

Désintégration du faux vide médiée par des kinks en 1+1 dimensions

Dans ce mémoire, on étudie la désintégration d’un faux vide, c’est-à-dire un vide qui est un minimum relatif d’un potentiel scalaire par effet tunnel. Des défauts topologiques en 1+1 dimension, appelés kinks, apparaissent lorsque le potentiel possède un minimum qui brise spontanément une symétrie discrète. En 3+1 dimensions, ces kinks deviennent des murs de domaine. Ils apparaissent par exemple dans les matériaux magnétiques en matière condensée. Un modèle à deux champs scalaires couplés sera étudié ainsi que les solutions aux équations du mouvement qui en découlent. Ce faisant, on analysera comment l’existence et l’énergie des solutions statiques dépend des paramètres du modèle. Un balayage numérique de l’espace des paramètres révèle que les solutions stables se trouvent entre les zones de dissociation, des régions dans l’espace des paramètres où les solutions stables n’existent plus. Le comportement des solutions instables dans les zones de dissociation peut être très différent selon la zone de dissociation dans laquelle une solution se trouve. Le potentiel consiste, dans un premier temps, en un polynôme d’ordre six, auquel on y rajoute, dans un deuxième temps, un polynôme quartique multiplié par un terme de couplage, et est choisi tel que les extrémités du kink soient à des faux vides distincts. Le taux de désintégration a été estimé par une approximation semi-classique pour montrer l’impact des défauts topologiques sur la stabilité du faux vide. Le projet consiste à déterminer les conditions qui permettent aux kinks de catalyser la désintégration du faux vide. Il appert qu’on a trouvé une expression pour déterminer la densité critique de kinks et qu’on comprend ce qui se passe avec la plupart des termes.

Magnetic field induced entropy change and magnetoelasticity in Ni-Mn-Ga alloys

The magnetocaloric effect that originates from the martensitic transition in the ferromagnetic Ni-Mn-Ga shape-memory alloy is studied. We show that this effect is controlled by the magnetostructural coupling at both the martensitic variant and magnetic domain length scales. A large entropy change induced by moderate magnetic fields is obtained for alloys in which the magnetic moment of the two structural phases is not very different. We also show that this entropy change is not associated with the entropy difference between the martensitic and the parent phase arising from the change in the crystallographic structure which has been found to be independent of the magnetic field within this range of fields.

Selbstassemblierte Monolagen und magnetisch strukturierte Submonolagen mit dia- und paramagnetischen Molekülen sowie Einzelmolekülmagneten auf Phthalocyanin- und Subphthalocyanin-Basis

Mit dieser Arbeit wurde die Selbstassemblierung von dia- und paramagnetischen Molekülen sowie Einzelmolekülmagneten auf Goldsubstraten und magnetisch strukturierten Substraten untersucht. Dazu wurden drei verschiedene Klassen an Phthalocyaninderivaten verwendet: Diamagnetische Subphthalocyanine, paramagnetische Phthalocyaninatometalle und Diphthalocyaninatolanthanidkomplexe. Alle synthetisierten Verbindungen sind peripher thioethersubstituiert. Die Alkylketten (a: n-C8H17, b: n-C12H25) vermitteln die Löslichkeit in vielen organischen Solventien und sorgen für eine geordnete Assemblierung auf einer Oberfläche, wobei die Bindung auf Gold hauptsächlich über die Schwefelatome stattfindet. Die aus Lösung abgeschiedenen selbstassemblierten Monolagen wurden mit XPS, NEXAFS-Spektroskopie und ToF-SIMS untersucht. Bei der Selbstassemblierung auf magnetisch strukturierten Substraten stehen die Moleküle unter dem Einfluss magnetischer Streufelder und binden bevorzugt nur in bestimmten Bereichen. Die gebildeten Submonolagen wurden zusätzlich mit X-PEEM untersucht. Die erstmals dargestellten Manganphthalocyanine [MnClPc(SR)8] 1 wurden ausgehend von MnCl2 erhalten. Hier fand bei der Aufarbeitung an Luft eine Oxidation zu Mangan(III) statt; +III ist die stabilste Oxidationsstufe von Mangan in Phthalocyaninen. Der Nachweis des axialen Chloridoliganden erfolgte mit Massenspektrometrie und FIR- sowie Raman-Spektroskopie. SQUID-Messungen haben gezeigt, dass die Komplexe 1 vier ungepaarte Elektronen haben. Bei den Subphthalocyaninen [BClSubpc(SR)6] 2 wurde der axiale Chloridoligand mit dem stäbchenförmigen Phenolderivat 29-H substituiert und die erfolgreiche Ligandensubstitution durch NMR- und IR-Spektroskopie sowie Massenspektrometrie an den Produkten [BSubpc(SR)6(29)] 30 belegt. Der Radikalcharakter der synthetisierten Terbiumkomplexe [Tb{Pc(SR)8}2] 3 wurde spektroskopisch nachgewiesen; SQUID-Messungen ergaben, dass es sich um Einzelmolekülmagnete mit einer Energiebarriere U des Doppelpotentialtopfs von 880 K oder 610 cm-1 bei 3a handelt. Zunächst wurden die SAMs der Komplexverbindungen 1, 2, 30 und 3 auf nicht magnetisch strukturierten Goldsubstraten untersucht. Die Manganphthalocyanine 1 bilden geordnete SAMs mit größtenteils flach liegenden Molekülen, wie die XPS-, NEXAFS- und ToF-SIMS-Analyse zeigte. Die Mehrzahl der Thioether-Einheiten ist auf Gold koordiniert und die Alkylketten zeigen ungeordnet von der Oberfläche weg. Bei der Adsorption findet eine Reduktion zu Mangan(II) statt und der axiale Chloridoligand wird abgespalten. Das beruht auf dem sog. Oberflächen-trans-Effekt. Im vorliegenden Fall übt die Metalloberfläche einen stärkeren trans-Effekt als der axiale Ligand aus, was bisher experimentell noch nicht beobachtet wurde. Die thioethersubstituierten Subphthalocyanine 2 und 30 sowie die Diphthalocyaninatoterbium-Komplexe 3 sind ebenfalls für SAMs geeignet. Ihre Monolagen wurden mit XPS und NEXAFS-Spektroskopie untersucht, und trotz einer gewissen Unordnung in den Filmen liegen die Moleküle jeweils im Wesentlichen flach auf der Goldoberfläche. Vermutlich sind bei diesen Systemen auch die Alkylketten größtenteils parallel zur Oberfläche orientiert. Im Gegensatz zu den Manganphthalocyaninen 1 tritt bei 2b, 30a, 30b und 3b neben der koordinativen Bindung der Schwefelatome auf Gold auch eine für Thioether nicht erwartete kovalente Au–S-Bindung auf, die durch C–S-Bindungsbruch unter Abspaltung der Alkylketten ermöglicht wird. Der Anteil, zu dem dieser Prozess stattfindet, scheint nicht mit der Molekülstruktur zu korrelieren. Selbstassemblierte Submonolagen auf magnetisch strukturierten Substraten wurden mit dem diamagnetischen Subphthalocyanin 2b hergestellt. Der Nachweis der Submonolagen war schwierig und gelang schließlich durch eine Kombination von ToF-SIMS, NEXAFS Imaging und X-PEEM. Die Analyse der ToF-SIMS-Daten zeigte, dass tatsächlich eine Modulation der Verteilung der Moleküle auf einem unterwärts magnetisch strukturierten Substrat eintritt. Mit X-PEEM konnte die magnetische Struktur der ferromagnetischen Schicht des Substrats direkt der Verteilung der adsorbierten Moleküle zugeordnet werden. Die Subphthalocyanine 2b adsorbieren nicht an den Domänengrenzen, sondern vermehrt dazwischen. Auf Substraten mit abwechselnd 6.5 und 3.5 µm breiten magnetischen Domänen binden die Moleküle bevorzugt in den Bereichen geringster magnetischer Streufeldgradienten, also den größeren Domänen. Solche Substrate wurden für die ToF-SIMS- und X-PEEM-Messungen verwendet. Bei größeren magnetischen Strukturen mit ca. 400 µm breiten Domänen, wie sie aufgrund der geringeren Ortsauflösung dieser Methode für NEXAFS Imaging eingesetzt wurden, binden die Moleküle dann in allen Domänen. Die diamagnetischen Moleküle werden nach dieser Interpretation aus dem inhomogenen Magnetfeld über der Probenoberfläche heraus gedrängt und verhalten sich analog makroskopischer Diamagnete. Die eindeutige Detektion der Moleküle auf den magnetisch strukturierten Substraten konnte bisher nur für die diamagnetischen Subphthalocyanine 2b erfolgen. Um die Interpretation ihres Verhaltens bei der Selbstassemblierung in einem inhomogenen Magnetfeld weiter voranzutreiben, wurde das Subphthalocyanin 37b dargestellt, welches ein stabiles organisches TEMPO-Radikal in seinem axialen Liganden enthält. Das paramagnetische Subphthalocyanin 37b sollte auf den magnetisch strukturierten Substraten in Regionen starker magnetischer Streufelder binden und damit das entgegengesetzte Verhalten zu den diamagnetischen Subphthalocyaninen 2b zeigen. Aus Zeitgründen konnte dieser Nachweis im Rahmen dieser Arbeit noch nicht erbracht werden.

Electrical transport in disordered and ordered magnetic domains under pressures and magnetic fields

Magnetic M( T, H, P) and electrical transport.( T, H, P) measurements in a strong spin-lattice-charge coupled La(0.7)Ca(0.3)MnO(3) system have been conducted. The application of H and P leads to the formation of different magnetic domain structures in the vicinity and below the polaronic-to-ferromagnetic transition temperature. The charge mobility is more sensitive to the variation of the spatial wave function overlap between Mn(3+) eg and O(2-) 2p orbitals due to the applied compacting pressure rather than the relative spin orientation between neighbouring Mn ions when the magnetic field is applied. In spite of the presence of different magnetic domain structures due to the sample history, the effect of magnetic field and pressure is less pronounced at lower temperatures on electrical transport properties.

Synthesis of L1(0) Fe-Pd films by electrodeposition and thermal annealing

Fe-Pd alloy films have been prepared by electrochemical deposition from an alkaline electrolyte containing Fe sulfate, Pd chloride and 5-sulfosalicylic acid onto polycrystalline titanium substrates. The as-deposited films were nanocrystalline and magnetically soft (coercivity similar to 25 Oe). L1(0) Fe-Pd films with a (111) preferred orientation were obtained by post-deposition thermal annealing of films with composition about 37 at% Fe in an (Ar + 5% H-2) gas flow at 500 degrees C. Such films exhibit hard magnetic properties, with a coercivity up to 1880 Oe, and a slightly anisotropic magnetic response, with a larger in-plane remanence. Preliminary magnetic investigations support magnetization switching through pinning of domain walls. (c) 2008 Elsevier B.V. All rights reserved.