Charged domain walls (CDWs) in proper ferroelectrics are a novel route towards the creation of advancing functional electronics. At CDWs the spontaneous polarization obeying the ferroelectric order alters abruptly within inter-atomic distances. Upon screening, the resulting charge accumulation may result in the manifestation of novel fascinating electrical properties. Here, we will focus on electrical conduction. A major advantage of these ferroelectric DWs is the ability to control its motion upon electrical fields. Hence, electrical conduction can be manipulated, which can enrich the possibilities of current electronic devices e.g. in the field of reconfigurability, fast random access memories or any kind of adaptive electronic circuitry. In this dissertation thesis, I want to shed more light onto this new type of interfacial electronic conduction on inclined DWs mainly in lithium niobate/LiNbO3 (LNO). The expectation was: the stronger the DW inclination towards the polar axis of the ferroelectric order and, hence, the larger the bound polarization charge, the larger the conductivity to be displayed. The DW conductance and the correlation with polarization charge was investigated with a multitude of experimental methods as scanning probe microscopy, linear and nonlinear optical microscopy as well as electron microscopy. We were able to observe a clear correlation of the local DW inclination angle with the DW conductivity by comparing the three-dimensional DW data and the local DW conductance. We investigated the conduction mechanisms on CDWs by temperature-dependent two-terminal current-voltage sweeps and were able to deduce the transport to be given by small electron polaron hopping, which are formed after injection into the CDWs. The thermal activated transport is in very good agreement with time-resolved polaron luminescence spectroscopy. The applicability of this effect for non-volatile memories was investigated in metal-ferroelectric-metal stacks with CMOS compatible single-crystalline films. These films showed unprecedented endurance, retention, precise set voltage, and small leakage currents as expected for single crystalline material. The conductance was tuned and switched according to DW switching time and voltage. The formation of CDWs has proven to be extremely stable over at least two months. The conductivity was further investigated via microwave impedance microscopy, which revealed a DW conductivity of about 100 to 1000 S/m at microwave frequencies of about 1 GHz.:1 INTRODUCTION 1 I THEORETICAL BASICS 5 2 FUNDAMENTALS 7 2.1 Ferroelectricity 7 2.1.1 Spontaneous polarization 8 2.1.2 Domains and domain walls 9 2.1.3 Charged domain walls 13 2.1.4 Conductive domain walls 16 2.2 Visualization of ferroelectric domains and domain walls 21 2.2.1 Light microscopy 22 2.2.2 Second-harmonic generation microscopy 22 2.2.3 Cherenkov second-harmonic generation microscopy 25 2.2.4 Optical coherence tomography 28 2.2.5 Piezo-response force microscopy 30 2.2.6 Ferroelectric lithography 31 2.2.7 Further methods 34 2.3 Lithium niobate and tantalate 37 2.3.1 General Properties 37 2.3.2 Stoichiometry 38 2.3.3 Optical properties 40 2.3.4 Intrinsic and extrinsic defects 43 2.3.5 Polarons 47 2.3.6 Ionic conductivity 51 3 METHODS 53 3.1 Sample Preparation 53 3.1.1 Poling stage 53 3.1.2 Thermal treatment 56 3.1.3 Ion slicing of LNO crystals 57 3.2 Atomic force microscopy 59 3.2.1 Non-contact and contact mode AFM microscopy 59 3.2.2 Piezo-response force microscopy (PFM) 60 3.2.3 Conductive atomic force microscopy (cAFM) 62 3.2.4 Scanning microwave impedance microscopy (sMIM) 63 3.2.5 AFM probes 66 3.3 Laser scanning microscope 67 3.4 Time-resolved luminescence spectroscopy 71 3.5 Energy-resolved photoelectron emission spectromicroscopy 72 II EXPERIMENTS 75 4 RESULTS 77 4.1 Three-dimensional profiling of domain walls 78 4.1.1 Randomly poled LNO and LTO domains 78 4.1.2 Periodically Poled Lithium Niobate 81 4.1.3 AFM-written Domains 83 4.1.4 Thermally treated LNO 84 4.1.5 Laser-written domains 86 4.2 Polarization charge textures 90 4.2.1 Random domains in Mg:LNO and Mg:LTO 90 4.2.2 Thermally-treated LNO 92 4.3 Quasi-phase matching SHG 92 4.4 Photoelectron microspectroscopy 97 4.5 Activated polaron transport 101 4.6 High voltage treated LNO 113 4.7 Conductive domain walls in exfoliated thin-film LNO 115 4.7.1 Conductance maps 116 4.7.2 Resistive switching by conductive domain walls 120 4.8 Microwave impedance microscopy 134 4.8.1 Finite-element method simulation 134 4.8.2 Scanning microwave impedance microscopy 136 5 conclusion & outlook 143 III EPILOGUE 147 a APPENDIX 149 a.1 Laser ablation dynamics on LNO surfaces 149 a.2 XPS across a conductive DW in LNO 150 a.3 XRD of thin-film exfoliated LNO 151 a.4 Domain writing in exfoliated thin-film LNO 152 a.5 Retention in conductance at DWs in thin-film exfoliated LNO 155 a.6 sMIM on DWs in thin-film exfoliated LNO 157 a.7 Domain inversion evolution under a tip by phase-field modeling 159 a.8 Current transients in exfoliated LNO 161 a.9 Surface acoustic wave excitation damping at DWs 162 a.10 Influence of UV illumination on domains in Mg:LNO 162 Acronyms 165 Symbols 169 List of figures 172 List of tables 176 Bibliography 177 Publications 225 Erklärung 233 / Geladene Domänenwände (DW) in reinen Ferroelektrika stellen eine neue Möglichkeit zur Erzeugung zukünftiger, funktionalisierter Elektroniken dar. An geladenen DW ändert sich die Polarisation sehr abrupt - innerhalb nur weniger Atomabstände. Sofern die dadurch hervorgerufene Ladungsträgeranreicherung elektrisch abgeschirmt werden kann, könnte dies zu faszinierenden elektrischen Eigenschaften führen. Wir möchten uns hierbei jedoch auf die elektrische Leitfähigkeit beschränken. Ein großer Vorteil für die Anwendung leitfähiger DW ist deren kontrollierte Bewegung unter Einwirkung elektrischer Felder. Dies ermöglicht die Manipulation das Ladungstransports, welches zum Beispiel im Bereich der Rekonfigurierbarkeit, schneller Speicherbauelemente und jeder Art von adaptiven elektronischen Schaltungen Anwendung finden kann. In dieser Dissertationsschrift möchte ich diesen neuen Typus grenzflächiger elektronischen Ladungstransports an geladenen DW hauptsächlich am Beispiel von Lithiumniobat/-LiNbO3 (LNO) untersuchen. Die Annahme lautete hierbei: umso stärker die DW zur ferroelektrischen Achse geneigt ist, also desto stärker die gebundene Polarisationsladung und folglich die elektrische DW-Leitfähigkeit. Die elektrische DW-Leitfähigkeit und die Korrelation mit der Polarisationsladung wurde mit verschiedenen experimentellen Methoden wie Rasterkraftmikroskopie, linearer und nichtlinearer optischer Mikroskopie als auch Elektronenmikroskopie untersucht. Es konnte eine klare Korrelation durch Vergleich der dreidimensionalen DW-Aufzeichnungsdaten mit der lokalen Leitfähigkeit gezeigt werden. Wir haben weiterhin den Leitfähigkeitsmechanismus an geladenen DW mittels temperaturabhängiger Strom-Spannungskennlinien untersucht und konnten hierbei einen Hopping-Transport kleiner Elektronenpolaronen nachweisen, welche nach Elektroneninjektion in die geladene DW generiert werden. Der thermisch aktivierte Ladungsträgertransport ist in guter Übereinstimmung mit zeitaufgelöster Polaron-Lumineszenzspektroskopie. Die Anwendbarkeit dieses Effektes für nicht-volatile Speicherbauelemente wurde an Metall-Ferroelektrika-Metall Schichtstrukturen mit CMOS-kompatiblen einkristalliner Filmen untersucht. Die Filme zeigen bisher nichtgesehene Durchhalte- und Speichervermögen, genau definierte Schaltspannung sowie sehr geringe Leckageströme wie dies für einkristalline Materialsysteme erwartet wird. Die Leitfähigkeit konnte mittels entsprechender Wahl der elektrischen Schaltzeiten und -spannungen zielgerichtet manipuliert und geschalten werden. Es konnte darüber hinaus gezeigt werden, dass die hergestellten geladenen DW über eine Zeitspanne von mindestens zwei Monaten stabil sind und hierbei leitfähig bleiben. Die Leitfähigkeit der DW wurde weiterhin mittels Mikrowellenimpedanzmikroskopie untersucht. Dabei konnten DW-Leitfähigkeiten von 100 bis 1000 S/m für Mikrowellenfrequenzen von etwa 1GHz ermittelt werden.:1 INTRODUCTION 1 I THEORETICAL BASICS 5 2 FUNDAMENTALS 7 2.1 Ferroelectricity 7 2.1.1 Spontaneous polarization 8 2.1.2 Domains and domain walls 9 2.1.3 Charged domain walls 13 2.1.4 Conductive domain walls 16 2.2 Visualization of ferroelectric domains and domain walls 21 2.2.1 Light microscopy 22 2.2.2 Second-harmonic generation microscopy 22 2.2.3 Cherenkov second-harmonic generation microscopy 25 2.2.4 Optical coherence tomography 28 2.2.5 Piezo-response force microscopy 30 2.2.6 Ferroelectric lithography 31 2.2.7 Further methods 34 2.3 Lithium niobate and tantalate 37 2.3.1 General Properties 37 2.3.2 Stoichiometry 38 2.3.3 Optical properties 40 2.3.4 Intrinsic and extrinsic defects 43 2.3.5 Polarons 47 2.3.6 Ionic conductivity 51 3 METHODS 53 3.1 Sample Preparation 53 3.1.1 Poling stage 53 3.1.2 Thermal treatment 56 3.1.3 Ion slicing of LNO crystals 57 3.2 Atomic force microscopy 59 3.2.1 Non-contact and contact mode AFM microscopy 59 3.2.2 Piezo-response force microscopy (PFM) 60 3.2.3 Conductive atomic force microscopy (cAFM) 62 3.2.4 Scanning microwave impedance microscopy (sMIM) 63 3.2.5 AFM probes 66 3.3 Laser scanning microscope 67 3.4 Time-resolved luminescence spectroscopy 71 3.5 Energy-resolved photoelectron emission spectromicroscopy 72 II EXPERIMENTS 75 4 RESULTS 77 4.1 Three-dimensional profiling of domain walls 78 4.1.1 Randomly poled LNO and LTO domains 78 4.1.2 Periodically Poled Lithium Niobate 81 4.1.3 AFM-written Domains 83 4.1.4 Thermally treated LNO 84 4.1.5 Laser-written domains 86 4.2 Polarization charge textures 90 4.2.1 Random domains in Mg:LNO and Mg:LTO 90 4.2.2 Thermally-treated LNO 92 4.3 Quasi-phase matching SHG 92 4.4 Photoelectron microspectroscopy 97 4.5 Activated polaron transport 101 4.6 High voltage treated LNO 113 4.7 Conductive domain walls in exfoliated thin-film LNO 115 4.7.1 Conductance maps 116 4.7.2 Resistive switching by conductive domain walls 120 4.8 Microwave impedance microscopy 134 4.8.1 Finite-element method simulation 134 4.8.2 Scanning microwave impedance microscopy 136 5 conclusion & outlook 143 III EPILOGUE 147 a APPENDIX 149 a.1 Laser ablation dynamics on LNO surfaces 149 a.2 XPS across a conductive DW in LNO 150 a.3 XRD of thin-film exfoliated LNO 151 a.4 Domain writing in exfoliated thin-film LNO 152 a.5 Retention in conductance at DWs in thin-film exfoliated LNO 155 a.6 sMIM on DWs in thin-film exfoliated LNO 157 a.7 Domain inversion evolution under a tip by phase-field modeling 159 a.8 Current transients in exfoliated LNO 161 a.9 Surface acoustic wave excitation damping at DWs 162 a.10 Influence of UV illumination on domains in Mg:LNO 162 Acronyms 165 Symbols 169 List of figures 172 List of tables 176 Bibliography 177 Publications 225 Erklärung 233

Les membranes lipidiques auto-assemblées présentent une riche phénoménologie de comportements dynamiques, et sont présentes dans de nombreux systèmes biologiques. Au cours de cette thèse nous avons étudié la dynamique de ces membranes dans des situations de fort confinement par des modèles théoriques simples. Nous nous sommes focalisés sur le cas d'un confinement entre deux murs, en présence d'un potentiel double-puits menant à deux états possibles d'adhésion (sur le mur du haut, ou sur celui du bas). A l'aide de modèles de lubrification, nous avons obtenu une équation différentielle nonlinéaire et nonlocale décrivant l'évolution de la morphologie de la membrane. Nous avons surtout étudié son comportement dans les systèmes bidimensionnels, où la membrane est un objet unidimensionnel. Dans ce cadre, nous avons montré que la rigidité de courbure de la membrane mène à une dynamique différente de la dynamique de mûrissement obtenue habituellement en présence d'une tension de surface. En effet, la membrane atteint rapidement une configuration gelée, qui dépend des conditions initiales. L'arrêt de la dynamique la conséquence d'une interaction oscillante entre les kinks –définis ici comme parois de domaines dans les systèmes unidimensionnels. L'organisation spatiale de la configuration finale peut être contrôlée par la perméabilité des murs : par exemple, si la membrane est initialement plane, et à mi-chemin entre les deux murs, des morphologies désordonnées sont obtenues pour des murs perméables, alors qu'un ordre à longue distance est obtenu dans le cas imperméable. Nous avons de plus montré que différents ingrédients physiques tels qu'une tension de membrane, l'asymétrie du potentiel d'adhésion, ou le bruit thermique sont susceptibles de restaurer le mûrissement, généralement au dessus d'un seul fini. Inspirés par la biolubrification, nous avons par ailleurs étudié l'influence d'un cisaillement imposé par le mouvement des murs. Les simulations montrent une dynamique riche de plusieurs régimes, qui influence la friction effective entre les murs. Pour les faibles taux de cisaillements, nous obtenons une dynamique complexe et chaotique qui engendre du mûrissement, et mène à un comportement thixotrope, où la force décroît avec le temps. Pour des taux de cisaillement modérés et fort, nous obtenons respectivement des solutions stationnaires périodiques ou du chaos spatiotemprel. Dans ces deux régimes, le système est rhéo-fluidifiant / Self-assembled lipid membranes exhibit a rich variety of dynamical behaviors, and are ubiquitous in biology. In this thesis, we report on the study of dynamics of membranes in strong confinement, using simple theoretical models. We focus on the case of confinement between two walls, in the presence of a double-well potential leading to two possible states of adhesion (on the upper or the lower wall). Using a lubrication model, we obtained a nonlinear and nonlocal partial differential equation describing the evolution of the membrane morphology. We have mainly studied the twodimensional case, where the membrane is a one-dimensional object. Within this frame, we have shown that the membrane bending rigidity leads to dynamics that are different from the coarsening behavior obtained usually in the presence of surface tension. Indeed, the membrane reaches a frozen state, which depends on the initial conditions. The freezing of the dynamics is the consequence of the oscillatory interaction between kinks –here defined as domain walls in one-dimensional systems. The spatial organization of the final state can be controlled by the wall permeability : as an example, starting from a plane membrane half-way between the two walls, disordered configurations are obtained for very permeable walls, while long range order is obtained with impermeable walls. In addition, we have shown that different physical ingredients such as membrane tension, potential asymmetry, or thermal noise, can restore coarsening, usually above a finite threshold. Inspired by biolubrication, we have also studied the influence of shear imposed by the motion of the two confining walls. Simulations show a rich behavior with several regimes, which influence the effective friction between the walls. For weak shear rates, we obtain complex and chaotic dynamics, which induce coarsening, leading to a thixotropic behavior, where the force decreases with time. For moderate or large shear rates, we respectively obtain frozen periodic stationary solutions, or spatio-temporal chaos. In these two regimes, the system exhibits shear-thinning

Dans ma thèse, j’ai travaillé sur les modèles de fils en ferromagnétisme. J’ai obtenu les résultats suivants :- Existence de solutions très régulières pour les équations de Landau-Lifschitz en dimension 3.- Stabilité de profils de murs avec critère optimal de stabilité pour un fil soumis à un champ magnétique.- Stabilité de profils de murs pour un fil soumis à un courant électrique, dans le cas d’un fil à section circulaire et dans le cas d’un fil à section ellipsoïdale. - Justification des modèles monodimensionnels de fils. / In my thesis, I worked on models of wires in ferromagnetism. I got the following results:- Existence of very regular solutions for Landau-Lifschitz equations in dimension 3.- Optimal stability criterion for a wall in a ferromagnetic wire in a magnetic field.-Stability of walls in a ferromagnetic wire subjected to an electric current, in the case of a round wire and in the case of an ellipsoidal cross-section wire.- Justification of one-dimensional wires models.

In the current study, we give a report when oxalic acid was used as an electrolyte to synthesize an AAO template with hexagonal pore array. Optimum parameters were observed as 0.4 M of oxalic acid, anodizing voltage of 45 V, temperature of approximately 8 °C and the period of 120 minutes. Atomic force microscope (AFM) and High resolution scanning electron microscope (HRSEM) showed that template has an average pore diameter of 103 nm. Co and MnOx (x = 1,2) nanostructures were selectively deposited in the pores of the template using a novel atomic layer deposition (ALD) technique. The diameter sizes and the array of the nanostructures and the template were corresponding. Energy dispersive xrays (EDX) and X-ray photoelectron spectroscopy (XPS) confirmed the presence of Co and MnOx (x =1,2) on the samples while x-ray diffraction (XRD) provided an indication of their orientations. Magnetic force microscopy as main characterization tool showed the existence of multi-domains on both Co and MnOx (x =1,2) nanostructures.

In the current study, we give a report when oxalic acid was used as an electrolyte to synthesize an AAO template with hexagonal pore array. Optimum parameters were observed as 0.4 M of oxalic acid, anodizing voltage of 45 V, temperature of approximately 8 °C and the period of 120 minutes. Atomic force microscope (AFM) and High resolution scanning electron microscope (HRSEM) showed that template has an average pore diameter of 103 nm. Co and MnOx (x = 1,2) nanostructures were selectively deposited in the pores of the template using a novel atomic layer deposition (ALD) technique. The diameter sizes and the array of the nanostructures and the template were corresponding. Energy dispersive xrays (EDX) and X-ray photoelectron spectroscopy (XPS) confirmed the presence of Co and MnOx (x =1,2) on the samples while x-ray diffraction (XRD) provided an indication of their orientations. Magnetic force microscopy as main characterization tool showed the existence of multi-domains on both Co and MnOx (x =1,2) nanostructures.

D'un point de vu fondamental, la structure micromagnétique d'un point de Bloch est prédite depuis plus de 50 ans, mais représente cependant une singularité topologique dans le cadre de la théorie du micromagnétisme. Par conséquent, une description purement micromagnétique du point deBloch s'avère difficile. Ce manuscrit décrit les outils mathématiques et un ensemble d'algorithmes permettant de combiner un modèle d'Heisenberg classique avec des simulations micromagnétiques sur la base des éléments finis. A l'aide de ces algorithmes, nous pouvonsrigoureusement étudier les propriétés caractéristiques d'un point de Bloch d'une paroi de domaine de type vortex localisée dans un nanofil cylindrique ferromagnétique. Cette thèse décrit le pinning/depinning des points de Bloch au réseau atomique ainsi que les différents modes depropagation détectables pour des parois de domaine sous l'influence d'un champ magnétique externe, qui peut conduire le système à des vitesses supermagnoniques. / The fundamental micromagnetic structure of Bloch points was predicted by micromagnetic theory more than 50 years ago, but represents a topological singularity within the theory of micromagnetism. This complicates a pure micromagnetic description. This thesis describes thenecessary mathematical background and a set of algorithms to combine a classical atomistic Heisenberg model with micromagnetism on the basis of the finite element method. By means of those algorithms the characteristic properties of Bloch points in vortex domain walls inferromagnetic solid cylindrical nanowires can be studied rigorously. ln addition to the pinning/depinning of Bloch points at the atomistic lattice the thesis reports on the different modes of propagation detectable for vortex domain walls in that system under the influence of an externalmagnetic field, which can drive the system of the domain wall and the Bloch point with supermagnonic velocities.

>Magister Scientiae - MSc / In the current study, we give a report when oxalic acid was used as an electrolyte to synthesize an AAO template with hexagonal pore array. Optimum parameters were observed as 0.4 M of oxalic acid, anodizing voltage of 45 V, temperature of approximately 8 °C and the period of 120 minutes. Atomic force microscope (AFM) and High resolution scanning electron microscope (HRSEM) showed that template has an average pore diameter of 103 nm. Co and MnOx (x = 1,2) nanostructures were selectively deposited in the pores of the template using a novel atomic layer deposition (ALD) technique. The diameter sizes and the array of the nanostructures and the template were corresponding. Energy dispersive xrays (EDX) and X-ray photoelectron spectroscopy (XPS) confirmed the presence of Co and MnOx (x =1,2) on the samples while x-ray diffraction (XRD) provided an indication of their orientations. Magnetic force microscopy as main characterization tool showed the existence of multi-domains on both Co and MnOx (x =1,2) nanostructures. / South Africa

Much of the recent progress in cosmology has come from studying the power spectrum of the cosmic microwave background (CMB). The latest results from the Planck satellite confirmed that the inflationary paradigm with the $\Lambda$CDM six-parameter model provides a very good description of the observed structures in the Universe. Even so, additional parameters, such as cosmic defects, are still allowed by current observational data. Additionally, many of the inflationary models predict a significant departure from Gaussianity in the distribution of primordial perturbations. Higher order statistics, such as the bispectrum, are required to test and constrain such models. The late-time distribution of matter in the Universe - large-scale structure (LSS) - contains much more information than the CMB that has not yet been used. In this thesis, we look at both problems: the effects of cosmic defects, in particular cosmic strings and domain walls on the CMB power spectrum through numerical simulations, and the dark matter bispectrum of large-scale structure. Topological defects are predicted by most inflationary theories involving symmetry breaking in the early Universe. In this thesis we study the effects of cosmic strings and domain walls on the CMB by determining their power spectrum. We use Nambu-Goto and field theory simulations for cosmic strings and domain walls respectively, and we determine the power spectra they produce with a modified Einstein-Boltzmann solver sourced by unequal time correlators from components of the energy-momentum tensor of the defects. We use these spectra together with CMB likelihoods to obtain constraints on the energy scales of formation of the cosmic defects, finding $G\mu/c^{2} < 1.29 \times 10^{−7}$ and $\eta < 0.93$ MeV (at 95% confidence level) for cosmic strings and domain walls respectively, when using the Planck satellite likelihoods. For the matter bispectrum of LSS, we compare different perturbative and phenomenological models with measurements from $N$-body simulations by using shape and amplitude correlators and we determine on which scales and for which redshifts they are accurate. We propose a phenomenological ‘three-shape’ model, based on the fundamental shapes we have observed by studying the halo model that are also present in the simulations. When calibrated on the simulations, this model accurately describes the bispectrum on all scales and redshifts considered, providing a prototype bispectrum HALOFIT-like methodology that could be used to describe and test parameter dependencies.

The goal of the original research presented in this thesis is to study the strong coupling regime of Quantum Field Theories (QFTs) with different methods, making concrete predictions about the phase structure and the dynamics of these theories, and on their observables. The focus is on (gauge) field theories in three spacetime dimensions, which are an interesting laboratory to understand the properties of strong coupling in setups that are usually simpler than in the more familiar case of gauge theories in four dimensions. Importantly, topological effects play a relevant role in three dimensions, thanks to the presence of the so-called Chern-Simons term.The thesis contains a short introduction to QFTs in 3d, principles and applications of infrared dualities, large N techniques, and holography. Indeed, the web of infrared dualities, the large N expansion, and the holographic correspondence between QFT and gravity are the main tools which we use to investigate the strongly coupled regimes of 3d QFTs.Then, the original material is presented. In a first line of research, we focus on the study of the phase diagram of a 3d gauge theory making use of conjectured infrared dualities, extending such dualities to the case where more than one mass parameter can be dialed. In a second line of research, we study a class of 3d gauge theories by engineering their gravity dual in a string theory setup. We prove the existence of multiple phase transitions between phases characterized by both massless particles and topological sectors. In a third line of research, we use holography as a tool to explore the interplay between the physics of 4d QCD and 3d gauge theories. In particular, we analyze the properties of 3d domain walls, which appear as soliton-like solutions of 4d QCD in specific parametric regimes. Finally, we propose a boundary construction of 3d large N vector models, which appear as critical points of theories obtained by coupling degrees of freedom localized on a 3d boundary to a 4d bulk theory. This construction allows to prove new dualities and uncovers a new computational tool for 3d vector models. / Doctorat en Sciences / info:eu-repo/semantics/nonPublished

Recent analyses by polarization resolved second-harmonic (SH) microscopy have demonstrated that ferroelectric (FE) domain walls (DWs) can possess non-Ising wall characteristics and topological nature. These analyses rely on locally analyzing the properties, directionality, and magnitude of the second-order nonlinear tensor. However, when inspecting FE DWs with SH microscopy, a manifold of different effects may contribute to the observed signal difference between domains and DWs, i.e., far-field interference, Čerenkov-type phase-matching (CSHG), and changes in the aforementioned local nonlinear optical properties. They all might be present at the same time and, therefore, require careful interpretation and separation. In this work, we demonstrate how the particularly strong Čerenkov-type contrast can selectively be blocked using dark- and bright-field SH microscopy. Based on this approach, we show that other contrast mechanisms emerge that were previously overlayed by CSHG but can now be readily selected through the appropriate experimental geometry. Using the methods presented, we show that the strength of the CSHG contrast compared to the other mechanisms is approximately 22 times higher. This work lays the foundation for the in-depth analysis of FE DW topologies by SH microscopy.