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Stabilization of Ferroelectricity in Hafnia, Zirconia and their Mixtures by Dopants and Interface EnergyMaterlik, Robin 18 November 2019 (has links)
Die überraschende Entdeckung von ferroelektrischem Hafniumoxid durch Böscke et al. im Jahre 2011 eröffnet zahlreich technologische Möglichkeiten wie zum Beispiel voll CMOS kompatible ferroelektrische RAM Speicherzellen. Als kristallographische Ursache für dieses Verhalten erwies sich die Raumgruppe Pca21. In theoretischen Untersuchungen mit Hilfe der Dichtefunktionaltheorie erwies sich diese Phase jedoch als thermodynamisch instabil. Ziel dieser Dissertation ist daher zu klären, wie diese Phase stabilisiert werden kann. Dazu werden Faktoren wie Stöchiometrie, Temperatur, Druck, Spannung, Grenzflächenenergie sowie Defekte und Dotierung mit Hilfe der Dichtefunktionaltheorie untersucht. Die errechneten Ergebnisse werden mit Hilfe von Modellen interpretiert, welche im laufe dieser Dissertation erarbeitet werden. Es zeigt sich, dass neben dem energetischen Zustand auch der Herstellungsprozess des Materials eine bedeutende Rolle in der Stabilisierung der ferroelektrischen Phase von Hafniumoxid spielt. Abschließend wird versucht Verbindung zum Experiment herzustellen, in dem experimentell zugängliche Stellschrauben aufgezeigt werden, welche die ferroelektrischen Eingenschaften von Hafniumoxid verbessern können und sich aus den erarbeiteten Ergebnissen ableiten. / The surprising discovery of ferroelectric hafnium oxide by Böscke et al. in 2011 enables various technological possibilities like CMOS compatible ferroelectric RAM devices. The space group Pca21 was identified as the crystallographic cause of this behavior. However, this phase was proved to be thermodynamically unstable by several theoretical studies using density functional theory. Therefore, the goal of this dissertation is to investigate physical effects contributing to the stabilization of the ferroelectric phase by means of density functional theory. These effects include stoichiometry, temperature, stress, strain, interface energy, as well as defects and dopants. The computational results will be interpreted with models, which will be developed within this dissertation. It will become apparent, that in addition to the energetic state, the production process of a sample plays an important role in the stabilization of the ferroelectric phase of hafnium oxide. In the conclusion, this work will attempt to find a connection to the experiment, by identifying experimentally accessible parameters within the computational results which can be used to optimize the ferroelectric properties of ferroelectric materials.
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Epitaktische BaTiO₃-basierte Schichten für elektrokalorische UntersuchungenEngelhardt, Stefan 30 October 2020 (has links)
Festkörper-basierte Kühlkreisläufe, die auf dem elektrokalorischen Effekt beruhen, sind in den vergangenen Jahren in den Mittelpunkt aktueller Forschungen gerückt, da für den direkten Betrieb keine klimaschädlichen Treibhausgase erforderlich sind und da sie das Potential für eine hohe Energieeffizienz aufweisen. Der elektrokalorische Effekt (EKE) beschreibt eine reversible adiabatische Temperaturänderung in polaren Materialien, die durch die Änderung eines äußeren elektrischen Feldes induziert wird. Besonders stark aus-geprägte elektrokalorische Eigenschaften treten für ferroelektrische Materialien im Bereich der Umwandlung zwischen ferro- und paraelektrischer Phase auf. Zudem verstärkt sich der EKE mit zunehmender Feldstärkeänderung. Ferroelektrische Dünnschichten, an die im All-gemeinen hohe elektrische Felder angelegt werden können, zeigen daher gute elektrokalo-rische Eigenschaften. Für das Materialsystem BaZrxTi1-xO3 (BZT) wurde in der Literatur beschrieben, dass Massivproben in Hinblick auf den EKE ein günstiges Eigenschaftsprofil aufweisen. In dieser Arbeit werden BZT–Dünnschichten hergestellt, um die vielverspre-chenden Eigenschaften dieses Materialsystems näher zu untersuchen und um ein besseres Verständnis der zugrundeliegenden physikalischen Vorgänge zu erlangen. Dazu wird ein epitaktisches Schichtwachstum angestrebt, um ein möglichst klar definiertes Gefüge zu erhalten und so den Zusammenhang zwischen mikrostrukturellen, ferroelektrischen und elektrokalorischen Eigenschaften untersuchen zu können. Durch eine Optimierung der Herstellungsbedingungen werden mit Hilfe der gepulsten Laserdeposition epitaktische BZT-Dünnschichten auf (001)-orientierten einkristallinen SrTiO3-Substraten abgeschieden. Dabei werden die hergestellten Proben mit Röntgenbeugungs-, Elektronenmikroskop und-Die durch den EKE induzierte adiabatische Temperaturänderung wird auf Basis einer thermodynamischen Analyse von feld- und temperaturabhängigen Polarisationsmessungen indirekt bestimmt. Extrinsische Einflüsse wie Leckströme oder Randschichteffekte können zu Deformationen der Polarisationhysterese führen und daher eine fehlerhafte Abschätzung des EKE verursachen. Es werden daher zwei Ansätze für eine direkte Charakterisierung des EKE in Dünnschichten beschrieben.
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Origin of Temperature-Dependent Ferroelectricity in SiDoped HfO₂Park, Min Hyuk, Chung, Ching-Chang, Schenk, Tony, Richter, Clauda, Hoffmann, Michael, Wirth, Steffen, Jones, Jacob L., Mikolajick, Thomas, Schroeder, Uwe 24 August 2022 (has links)
The structural origin of the temperature-dependent ferroelectricity in Si-doped HfO₂ thin films is systematically examined. From temperature-dependent polarization-electric field measurements, it is shown that remanent polarization increases with decreasing temperature. Concurrently, grazing incidence X-ray diffraction shows an increase in the orthorhombic phase fraction with decreasing temperature. The temperature-dependent evolution of structural and ferroelectric properties is believed to be highly promising for the electrocaloric cooling application. Magnetization measurements do not provide any indication for a change of magnetization within the temperature range for the strong crystalline phase transition, suggesting that magnetic and structural properties are comparatively decoupled. The results are believed to provide the first direct proof of the strongly coupled evolution of structural and electrical properties with varying temperature in fluorite oxide ferroelectrics.
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Broad Phase Transition of Fluorite-Structured Ferroelectrics for Large Electrocaloric EffectPark, Min Hyuk, Mikolajick, Thomas, Schroeder, Uwe, Hwang, Cheol Seong 30 August 2022 (has links)
Field-induced ferroelectricity in (doped) hafnia and zirconia has attracted increasing interest in energy-related applications, including energy harvesting and solid-state cooling. It shows a larger isothermal entropy change in a much wider temperature range compared with those of other promising candidates. The field-induced phase transition occurs in an extremely wide temperature range, which contributes to the giant electrocaloric effect. This article examines the possible origins of a large isothermal entropy change, which can be related to the extremely broad phase transitions in fluorite-structured ferroelectrics. While the materials possess a high entropy change associated with the polar–nonpolar phase transition, which can contribute to the high energy performance, the higher breakdown field compared with perovskites practically determines the available temperature range.
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Growth of superconducting and ferroelectric heterostructures / Crescimento de heteroestruturas supercondutoras e ferroelétricasOliveira, Felipe Ferraz Morgado de 20 December 2018 (has links)
The phase diagram of complex oxides is very diverse due to the strong interaction between electrons in the electronic structure. It is possible to probe those interactions by changing electrostatically the carrier density, the main concept behind the Field-Effect Transistors (FET) which is the building blocks of nanoelectronics devices. In the case of high-TC superconductor copper oxides, it is possible to use this concept to switch between superconducting and insulator phases, for example using an adjacent liquid electrolyte layer to inject charges in a superconducting film. With that in mind, the objective of this work was to establish protocols to grow superconductor and ferroelectric films for future fabrication of superconducting FET devices. We optimized the deposition conditions for the growth of a single layer of superconductor YBa2Cu3O7–x and the ferroelectric barium titanate on SrTiO3 substrates by pulsed laser deposition (PLD). Several techniques were employed to study the properties of the thin films, such as X-ray diffraction, atomic force microscope, X-ray photoelectron spectroscopy, resistance vs temperature and ferroelectric hysteresis. Regarding the superconductors thin films, we observed several relations between the superconducting features and the growth parameters. For instance, lower growth temperatures contribute to the nucleation of a-axis oriented grains meanwhile higher growth temperature tends to be c-axis oriented. Regarding the frequency of the laser (proportional to the growth rate), it seems that lower frequency is related to higher surface roughness and the presence of non-superconducting contributions. As it increases, the roughness decrease and the sample presents a sharper superconducting transition. Finally, we also did the first steps towards the field effect device by growing a heterostructure thin film consisting of a superconductor and ferroelectric material. The sample grew c-axis oriented on strontium titanate substrate, though with a high value of surface roughness. / O diagrama de fase dos óxidos complexos é muito diverso devido à forte interação entre os elétrons na estrutura eletrônica. É possível sondar essas interações alterando eletrostaticamente a densidade da portadores, o principal conceito por trás dos transistores de efeito de campo (FET), que é o elemento fundamental dos dispositivos nanoeletrônicos. No caso de supercondutores de alta temperatura a base de óxidos de cobre, é possível usar este conceito para alternar entre fases supercondutoras e isolantes, por exemplo utilizando uma camada adjacente de eletrólito líquido para injetar cargas no filme supercondutor. Com isso em mente, o objetivo desse trabalho foi estabelecer protocolos para crescer filmes supercondutores e ferroelétricos para fabricações futuras de dipositivos FET supercodutores. Nós optimizamos as condições de deposição para o crescimento de uma única camada do supercondutor YBa2Cu3O7–x e do ferroeléctrico titanato de bário em substratos SrTiO3 por deposição de laser pulsado (PLD). Diversas técnicas foram empregadas para estudar as propriedades dos filmes finos, como difração de raios-X, microscopia de força atômica, espectroscopia de fotoelétrons de raios-X, resistência vs temperatura e histerese ferroelétrica. Em relação aos filmes finos supercondutores, observamos várias relações das propriedades supercondutoras com os parâmetros de crescimento. Por exemplo, temperaturas de crescimento mais baixas contribuem para a nucleação de grãos orientados no eixo a, enquanto a temperatura de crescimento mais alta tende a ser orientada para o eixo c. Em relação à frequência do laser (proporcional à taxa de crescimento), há um indício que valores menores de frequência está relacionada à maior rugosidade superficial e à presença de contribuições não supercondutoras. À medida que aumenta a frequência, a rugosidade diminui e a amostra apresenta uma transição supercondutora mais nítida. Por fim, também fizemos os primeiros passos em direção ao dispositivo de efeito de campo, desenvolvendo um filme fino de heteroestrutura com um material supercondutor e ferroelétrico. A amostra cresceu orientada no eixo c em substrato de titanato de estrôncio com alto valor de rugosidade superficial.
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Modélisation et simulations numériques de la formation de domaines ferroélectriques dans des nanostructures 3D / Modeling and numerical simulations of the formation of ferroelectric domains in 3D nanostructuresMartelli, Pierre-William 26 September 2016 (has links)
Dans cette thèse, nous étudions la formation de domaines ferroélectriques dans des nanostructures, à partir d'une modélisation faisant intervenir les équations de Ginzburg-Landau et d’Électrostatique, ainsi que des conditions aux limites d'application potentielle. Dans la première partie de la thèse, les nanostructures sont constituées d'une couche ferroélectrique entièrement enclavée dans un environnement paraélectrique. Nous introduisons un modèle depuis un couplage de ces équations et élaborons, pour son investigation, un schéma numérique faisant usage d’Éléments Finis. Des simulations numériques montrent l'efficacité de ce schéma, qui permet d'établir, par exemple, l'existence de cycles d'hystérésis sous l'influence de paramètres aussi bien physiques que géométriques. Dans la seconde partie, les nanostructures sont constituées d'une couche ferroélectrique partiellement enclavée qui s'intercale entre deux couches paraélectriques. Deux modèles sont proposés à partir d'une variante du couplage réalisé dans la première partie, et se distinguent dans la prescription des conditions aux limites. Des conditions de type Neumann interviennent dans le premier modèle, pour lequel un schéma numérique aussi basé sur des approximations par Eléments Finis est introduit. Dans le second modèle, des conditions périodiques sont prises en considération ; un schéma numérique s'appuyant ici sur une hybridation des méthodes de Différences Finies et d'Eléments Finis est présenté. Les simulations numériques basées sur ces deux schémas permettent de renseigner sur les permittivités dites effectives, des nanostructures, ou encore sur la constitution des parois de domaines ferroélectriques / In this thesis, we study the formation of ferroelectric domains in nanostructures by modeling based on the Ginzburg-Landau and Electrostatics equations, together with boundary conditions that are suitable for real applications. In the first part of the thesis, the nanostructures are made up of a ferroelectric layer, fully enclosed in a paraelectric environment. We introduce a model based on the coupled system of equations and then develop, for its investigation, a numerical scheme using Finite Elements. Numerical simulations show the efficiency of this scheme, which allows us to establish, for instance, the existence of hysteresis cycles under the influence of physical or geometric parameters. In the second part, the nanostructures are made up of a partially enclosed ferroelectric layer that lies between two paraelectric layers. Two models are introduced from a variant of the coupling performed in the first part, and differ in the prescription of the boundary conditions. Neumann type conditions are prescribed in the first model, for which a numerical scheme also based on Finite Element approximations is developed. In the second model, periodic conditions are taken into account; a numerical scheme based on a combination of Finite Difference and Finite Element methods is presented. Numerical simulations from these schemes allow us, for instance, to investigate the so-called effective permittivities, of the nanostructures, or the formation of ferroelectric domain walls
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Étude ab-initio de solutions solides piézoélectriques (Ba,Ca)TiO3-Ba(Ti,Zr)O3 / First-principles study of piezoelectric (Ba,Ca)TiO3-Ba(Ti,Zr)O3 solid solutionsAmoroso, Danila 26 September 2018 (has links)
Les piézoélectriques à haute performance sont des composants clés pour les dispositifs agiles. Il a été démontré récemment que les solutions solides (Ba,Ca)(Ti,Zr)O3 (BCTZ) présentent des propriétés électromécaniques prometteuses. Cependant, les mécanismes microscopiques conduisant à de telles caractéristiques restent à éclaircir, et les investigations théoriques de BCTZ demeurent très limitées à ce jour. En conséquence, cette thèse propose d’étudier les propriétés de différentes compositions de solutions solides (Ba,Ca)TiO3-Ba(Ti,Zr)O3 au moyen de calculs de premiers principes, en mettant l’accent sur la dynamiquedu réseau et sur la compétition entre différentes phases ferroélectriques. Nous nous intéressons d’abord aux quatre composés parents BaTiO3, CaTiO3, BaZrO3 et CaZrO3, afin de comparer leurs propriétés et leurs différentes tendances à la ferroélectricité. Ensuite, le coeur de notre étude est une caractérisation systématique des systèmes binaires (Ba,Ca)TiO3 et Ba(Ti,Zr)O3 en utilisant à la fois l’approximation du cristal virtuel (VCA) et des calculs directs sur supercellules.Lorsqu’on passe continument de BaTiO3 à CaTiO3 dans (Ba,Ca)TiO3, la caractéristique principale est une transformation progressive de la ferroélectricité de type B en type A en raison d’effets stériques, lesquels déterminent en grande partie le comportement du système. En particulier, pour les petites concentrations en calcium, nous avons mis en évidence que laferroélectricité guidée par le site B est globalement affaiblie, conduisant à la disparition de la barrière d’énergie entre différents états polaires et à une polarisation quasi-isotrope. Une amélioration considérable de la réponse piézoélectrique résulte de ces caractéristiques. En passant de BaTiO3 à BaZrO3 dans Ba(Ti,Zr)O3, en revanche, le comportement est dominé parles mouvements coopératifs Zr-Ti et l’électrostatique locale. En particulier, la phase R3m est stabilisée significativement pour les faibles concentrations en zirconium. Sous l’effet d’une augmentation de la concentration en zirconium, le système montre une tendance à la réduction de la distorsion polaire; néanmoins, la ferroélectricité peut être préservée localement dans les régionsriches en titane. Grâce à un modèle électrostatique basé sur un super-réseau BaZrO3/mBaTiO3, nous avons également découvert une activation polaire inattendue pour Zr, en fonction d’un ordre atomique spécifique. Un facteur microscopique expliquant la réponse piézoélectrique exaltée dans BCTZ, pour de faibles concentrations en Ca et Zr, peut donc résider dans l’interaction entre la ferroélectricité affaiblie induite par Ti et la ferroélectricité émergente induite par Ca, interaction produisant une anisotropie minimale pour la polarisation. En outre, notre étude comparative révèle que la physique microscopique spécifique de ces solutions solides limite sévèrement l’applicabilité de l’approximation du cristal virtuel (VCA) à ces systèmes. / High-performance piezoelectrics are key components of various smart devicesand, recently, it has been discovered that (Ba,Ca)(Ti,Zr)O3 (BCTZ) solid solutions show appealingelectromechanical properties. Nevertheless, the microscopic mechanisms leading to suchfeatures are still unclear and theoretical investigations of BCTZ remain very limited. Accordingly,this thesis analyzes the properties of various compositions of (Ba,Ca)TiO3-Ba(Ti,Zr)O3solid solutions by means of first-principles calculations, with a focus on the lattice dynamicsand the competition between different ferroelectric phases. We first analyze the four parentcompounds BaTiO3, CaTiO3, BaZrO3 and CaZrO3 in order to compare their properties andtheir different tendency towards ferroelectricity. Then, the core of our study is a systematiccharacterization of the binary systems (Ba,Ca)TiO3 and Ba(Ti,Zr)O3 within both the virtualcrystal approximation (VCA) and direct supercell calculations. When going from BaTiO3 toCaTiO3 in (Ba,Ca)TiO3, the main feature is a gradual transformation from B-type to A-typeferroelectricity due to steric effects that largely determine the behavior of the system. In particular,for low Ca-concentration we found out an overall weakened B-driven ferroelectricitythat produces the vanishing of the energy barrier between different polar states and resultsin a quasi-isotropic polarization. A sizable enhancement of the piezoelectric response resultsfrom these features. When going from BaTiO3 to BaZrO3 in Ba(Ti,Zr)O3, in contrast, thebehavior is dominated by cooperative Zr-Ti motions and the local electrostatics. In particular,low Zr-concentration produces the further stabilization of the R3m-phase. Then, the systemshows the tendency to globally reduce the polar distortion with increasing Zr-concentration.Nevertheless, ferroelectricity can be locally preserved in Ti-rich regions. We also found out anunexpected polar activation of Zr as a function of specific atomic ordering explained via a basicelectrostatic model based on BaZrO3/mBaTiO3 superlattice. A microscopic factor behind theenhanced piezoelectric response in BCTZ, at low concentration of Ca and Zr, can thus be theinterplay between weakened Ti-driven and emerging Ca-driven ferroelectricity, which producesminimal anisotropy for the polarization. In addition, our comparative study reveals that thespecific microscopic physics of these solid solutions sets severe limits to the applicability of thevirtual crystal approximation (VCA) for these systems.
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Theoretical determination of electric field-magnetic field phase diagrams of the multiferroic bismuth ferriteAllen, Marc Alexander 28 August 2014 (has links)
Bismuth ferrite (BFO) is a multiferroic material with cross-correlation between magnetic and electric orders. With no applied external fields the spin structure of BFO is anitferromagnetic and cycloidal. This ordering prevents the detection of the weak ferromagnetism known to exist in the material. The application of magnetic and electric fields of suitable strength and direction is capable of compelling the Fe3+ spins to align in a homogeneous, antiferromagnetic fashion. This report details how numerical methods were used to simulate the spin alignment of a BFO system under different fields. The results were compiled into electric field-magnetic field phase diagrams of BFO to show the divide between cycloidal and homogeneous systems. / Graduate / 0607 / 0611 / marca@uvic.ca
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利用第一原理計算研究多鐵氧化物Cu3Mo2O9的磁性,電子態及鐵電性質 / Ab Initio Studies of The Magnetic, Electronic and Ferroelectric Properties of Multiferroic Oxide Cu3Mo2O9蕭逸修, Hsiao, Yi Hsiu Unknown Date (has links)
在此論文中,我們利用第一原理計算研究多鐵材料Cu3Mo2O9的磁性、電子態及多鐵性質。我們發現在此系統中,電子與電子間的庫倫排斥力必須被考慮,以致於導帶與價帶間能隙能夠被良好地描述。由於晶體結構所導致的幾何不穩定性,系統的磁結構尚未在實驗測量中被確定。在我們的理論計算當中得到的磁結構與Vilminot等研究人員根據實驗結果猜測出的非線性反鐵磁結構類似。交換作用與自旋軌道耦合間的爭競決定了電子自旋方向的傾斜。計算所得到的交換作用係數與實驗結果吻合良好。利用Berry’s phase計算,我們得到了系統自發電極化的理論值,其強度與實驗量測值在同一個數量級。然而,在我們計算中得到的電極化方向(平行於b軸)與實驗(平行於c軸)不符。此外,我們發現一磁結構之理論電極化方向與實驗相符,然而其磁結構之對稱性與實驗不符。目前,尚未有第一原理計算研究此氧化物,我們希望此論文能夠對同樣有興趣研究此材料的研究人員有所幫助。 / In this thesis, we used the ab initio method to study a multiferroic oxide Cu3Mo2O9. The correlations of electrons must be considered in this system so that a reasonable energy gap can be obtained. Due to the geometric frustration of magnetic structure caused by crystal structure, the ground state spin configuration in this system still has not been determined experimentally. We found some spin configurations similar to the non-collinear anti-ferromagnetic spins configuration suggested by Vilminot et al.. Competition between exchange interactions and spin-orbit coupling effect determines the canting of spins on Cu atoms. The calculated exchange parameters agree with the experimental results well. By using Berry phase calculations, we obtained the theoretical value of spontaneous electric polarization. The strength of polarization in our results is in the same order of results of experiments. However, the direction of electric polarization we found (along b-axis) is different from the experimental measurements (along c-axis). We have found a spin configuration that the theoretical electric polarization of the state agrees with the experimental results. However, the symmetry of the spin configuration does not satisfy the conditions suggested by results of the neutron diffraction experiment. And, spins on neighboring Cu2 and Cu3 do not form a singlet dimer. Since there still is no ab initio calculation studying this oxide, we hope that our studies can help those who are also interested in this material.
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Etude théorique d'oxydes nano-structurés multifonctionnels / First-principles study of ferroelectricity in oxide superlatticesZhao, Jinzhu 11 October 2013 (has links)
Partant des composés ATiO3 (A=Ba, Pb, Sr) bien connus pour leurs propriétés de type ferroélectriques, il est possible de concevoir des super-réseaux de basse dimensionnalité (multi-couches, phases de type ,…) où ces propriétés peuvent être modulées en fonction de la composition, de l'épaisseur des couches mises en jeu, des contraintes aux interfaces. Nous proposons ici d'étudier par calculs de premiers principes les instabilités structurales et la dynamique de réseau pour des systèmes simples dans cette famille. En définissant clairement les zones interfaciales et de cœur des couches, et en étudiant la convergence de leurs propriétés en fonction de l'épaisseur, ce travail vise à établir des potentiels interatomiques modèles, analytiques et transférables, pour la prédiction des propriétés dynamiques et des instabilités structurales de super-réseaux étendus et/ou complexes. / The aim of the present thesis is to investigate, from first-principles, the ferroelectricproperties and related phase transition behaviors in perovskite type compounds. Wewill not focus only on the bulk perovskite systems, but also on related layered superlatticeswhere the interface may play an important role and induce new phenomena.
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