Submitted by Etelvina Domingos (etelvina.domingos@ufpe.br) on 2015-03-12T19:05:15Z No. of bitstreams: 2 TESE Maria Danielle Marques.pdf: 22782720 bytes, checksum: 356f51640a480d28fe67c9c8fdb4e769 (MD5) license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) / Made available in DSpace on 2015-03-12T19:05:15Z (GMT). No. of bitstreams: 2 TESE Maria Danielle Marques.pdf: 22782720 bytes, checksum: 356f51640a480d28fe67c9c8fdb4e769 (MD5) license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) Previous issue date: 2014-01-30 / CNPq CAPES FACEPE / Esta tese é o resultado da investigação de dois temas: os rutenatos pirocloros Gd2−xMxRu2O7 (0 ≤ x ≤ 2), com M = Ho ou Y; e os novos materiais supercondutores Zr1−xNbxB2 (0,01 ≤ x ≤ 0,05). Para a caracterização estrutural de todas as amostras foi utilizada a técnica de difração de raios X (DRX) com análise por refinamento Rietveld e para o estudo morfológico foi utilizada a microscopia eletrônica de varredura (MEV). Os materiais foram também caracterizados por medidas de calor específico, magnetização e resistividade em função da temperatura. Os padrões de difração de raios X com a análise por refinamento permitiram a identificação de compostos com fase única e verificação da variação do parâmetro de rede com o aumento da concentração do dopante de acordo com a lei de Vegard, independente do dopante, para todas as amostras pirocloros e intermetálicas. Verificou-se que a adição de ácido nítrico, na reação do estado sólido melhora a morfologia das amostras pirocloros proporcionando sistemas mais homogéneos em termos de superfície e o tamanho de grão. Os resultados obtidos a partir da microscopia eletrônica de varredura nas amostras de Zr1−xNbxB2 mostrou uma superfície homogênea, sem segregação de fases secundárias e sem presença de aglomerados dos metais componentes, confirmando a formação de uma fase única, bem distribuída por todo o corpo do material. Os estudos das propriedades magnéticas revelaram que a dopagem com Ho e Y, no sítio do íon Gd provoca um aumento e uma diminuição no momento magnético dos compostos, respectivamente, demonstrando que a resposta magnética destes materiais deve-se predominantemente ao Gd. Concluímos que, a adição de Ho na matriz Gd2Ru2O7 pode-se ajustar o ordenamento magnético da amostra alterando-o de antiferromagnético, na ausência de Ho, para ferromagnético na ausência de Gd, enquanto que, as amostras dopadas com Y preservam a ordem antiferromagnética do composto. Medidas magnéticas, elétricas e térmicas realizadas nas amostras intermetálicas revelam que a supercondutividade pode emergir na matriz não-supercondutora ZrB2 para pequenas concentrações de nióbio, com temperatura crítica supercondutora alcançando o valor máximo de 8,2 K para a composição Zr0;96Nb0;04B2. Foi encontrado um possível comportamento não convencional no diagrama de Hc1 versus a temperatura reduzida (T/Tc), que sugere comportamento de duas bandas.

Made available in DSpace on 2014-06-12T15:50:10Z (GMT). No. of bitstreams: 2 arquivo2700_1.pdf: 4705303 bytes, checksum: 1b29ca863537af99989e6db18ff050f0 (MD5) license.txt: 1748 bytes, checksum: 8a4605be74aa9ea9d79846c1fba20a33 (MD5) Previous issue date: 2010 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / Materiais que apresentam estrutura tipo pirocloro tem sido objeto de estudos intensivos nos anos recentes. Estes materiais possuem fórmula geral A2B2O6O, onde A é uma terra rara e B é geralmente um metal de transição. Estudos anteriores mostraram que estes compostos têm muitas propriedades interessantes tais como condução iônica, condução elétrica, fluorescência, supercondutividade e atividade catalítica. O presente trabalho descreve os estudos realizados para a síntese e caracterização dos pirocloros Gd2−xHoxRu2O7, com x = 0,0 , 0,1 , 0,2 , 1,0 e 2,0 . As amostras foram preparadas pelo método de reação de estado sólido, onde quantidades dos óxidos Gd2O3, RuO2 e Ho2O3 foram pesados nas proporções estequiométricas, misturados, homogeneizados em ácido nítrico concentrado e submetidas a tratamento térmico. Em seguida, foram caracterizadas estruturalmente por difração de raios X e morfologicamente por microscopia eletrônica de varredura. Os difratogramas de raios X foram analisados pelo método de Rietveld, que possibilitou a identificação da estrutura e a determinação do parâmetro de rede. O refinamento indicou que as amostras cristalizam em uma rede cúbica de face centrada, onde o parâmetro de rede sofre uma contração com o aumento da dopagem, de acordo com a lei de Vegard. As micrografias obtidas por microscopia eletrônica de varredura revelaram uma morfologia com tamanhos de grãos mais uniformes e homogêneos. Esse resultado foi atribuído ao fato de se ter diluído os grãos em ácido nítrico antes de submetê-los ao tratamento térmico. Um estudo das propriedades magnéticas dos compostos foi realizado mediante medidas de susceptibilidade dc, onde o momento magnético foi obtido. A dependência da susceptibilidade com a temperatura apresentou um comportamento em acordo com a lei de Curie-Weiss no intervalo de 35 K a 300 K, para todas as amostras estudadas, Entretanto, dependendo da quantidade do dopante, foram observados desvios desse comportamento. Os resultados das diferentes caracterizações são discutidos em detalhes

São estudadas flutuações de variáveis spin de bloco em alguns modelos de Curie-Weiss. É descrito rigorosamente o comportamento assintótico de suas distribuições de probabilidade no limite termodinâmico, mantendo constante a razão entre o tamanho do sistema e o tamanho do bloco. São considerados o modelo de Ising com campo aleatório e o antiferromagneto diluído. Os seguintes fatos sobre flutuações nestes modelos são provados: a) Elas não são auto-mediantes; b) Fora da criticalidade têm distribuição Gaussiana com contribuições vindas de flutuações térmicas e de flutuações devidas aos parâmetros aleatórios; c) Na criticalidade a sua distribuição e não mais Gaussiana e as flutuações das impurezas dominam as flutuações térmicas. Como sub-produto desta análise mostra-se que as flutuações destes dois modelos não são equivalentes sob o mapeamento que estabelece a sua equivalência termodinâmica. Também é descrita a aplicação do método ao vidro de spin de van Hemmen, sem provas, levando a resultados similares. Finalmente mostra-se que o método é problemático quando aplicado a sistemas quânticos. Embora a sua termodinâmica possa ser bem descrita, aparecem alguns problemas matemáticos, ainda por resolver, no estudo das suas flutuações. / Fluctuations of block spin variables in some Curie-Weiss models are studied. The asymptotic behavior of their probability distributions in the thermodynamic limit is rigorously described, keeping constant the ratio between the size of the system and the size of the block. The Ising model with random field and the dilute antiferromagnet with uniform field are considered. The following facts about fluctuations in these models are proved: a) They are not self-averaging; b) Out of criticality they have a Gaussian distribution with contributions coming both from thermal fluctuations and from those fluctuations due to the random parameters; c) At criticality their distribution is no longer Gaussian and the fluctuation of impurities dominate thermal fluctuations. As a by-product of this analysis, the fluctuations of these two models are shown to be non-equivalent under the mapping which establishes their thermodynamical equivalence. It is also described the application of the method to the van Hemmen spin-glass model, without proofs, leading to similar results. Finally the method is shown to be problematic when applied to quantum systems. Although their thermodynamics can be well described, some mathematical problems, yet to be solved, appear in the study of their fluctuations.

São estudadas flutuações de variáveis spin de bloco em alguns modelos de Curie-Weiss. É descrito rigorosamente o comportamento assintótico de suas distribuições de probabilidade no limite termodinâmico, mantendo constante a razão entre o tamanho do sistema e o tamanho do bloco. São considerados o modelo de Ising com campo aleatório e o antiferromagneto diluído. Os seguintes fatos sobre flutuações nestes modelos são provados: a) Elas não são auto-mediantes; b) Fora da criticalidade têm distribuição Gaussiana com contribuições vindas de flutuações térmicas e de flutuações devidas aos parâmetros aleatórios; c) Na criticalidade a sua distribuição e não mais Gaussiana e as flutuações das impurezas dominam as flutuações térmicas. Como sub-produto desta análise mostra-se que as flutuações destes dois modelos não são equivalentes sob o mapeamento que estabelece a sua equivalência termodinâmica. Também é descrita a aplicação do método ao vidro de spin de van Hemmen, sem provas, levando a resultados similares. Finalmente mostra-se que o método é problemático quando aplicado a sistemas quânticos. Embora a sua termodinâmica possa ser bem descrita, aparecem alguns problemas matemáticos, ainda por resolver, no estudo das suas flutuações. / Fluctuations of block spin variables in some Curie-Weiss models are studied. The asymptotic behavior of their probability distributions in the thermodynamic limit is rigorously described, keeping constant the ratio between the size of the system and the size of the block. The Ising model with random field and the dilute antiferromagnet with uniform field are considered. The following facts about fluctuations in these models are proved: a) They are not self-averaging; b) Out of criticality they have a Gaussian distribution with contributions coming both from thermal fluctuations and from those fluctuations due to the random parameters; c) At criticality their distribution is no longer Gaussian and the fluctuation of impurities dominate thermal fluctuations. As a by-product of this analysis, the fluctuations of these two models are shown to be non-equivalent under the mapping which establishes their thermodynamical equivalence. It is also described the application of the method to the van Hemmen spin-glass model, without proofs, leading to similar results. Finally the method is shown to be problematic when applied to quantum systems. Although their thermodynamics can be well described, some mathematical problems, yet to be solved, appear in the study of their fluctuations.

Dans leur célèbre article de 1987, les physiciens Per Bak, Chao Tang et Kurt Wiesenfeld ont montré que certains systèmes complexes, composés d'un nombre important d'éléments en interaction dynamique, évoluent vers un état critique, sans intervention extérieure. Ce phénomène, appelé criticalité auto-organisée, peut être observé empiriquement ou simulé par ordinateur pour de nombreux modèles. Cependant leur analyse mathématique est très ardue. Même des modèles dont la définition est apparemment simple, comme les modèles décrivant la dynamique d'un tas de sable, ne sont pas bien compris mathématiquement. Le but de cette thèse est la construction d'un modèle de criticalité auto-organisée, qui est aussi simple que possible, et qui est accessible à une étude mathématique rigoureuse. Pour cela, nous modifions le modèle d'Ising Curie-Weiss généralisé en introduisant un contrôle automatique du paramètre de température. Pour une classe de distributions symétriques satisfaisant une certaine condition d'intégrabilité, nous montrons que la somme Sn des variables aléatoires du modèle a le comportement typique du modèle d'Ising Curie-Weiss généralisé critique: les fluctuations sont d'ordre n^(3/4) et la loi limite est C exp(- lambda*x^4) dx, où C et lambda sont des constantes strictement positives. Notre étude nous a menés à généraliser ce modèle dans plusieurs directions : cas de la dimension supérieure, fonctions d'interactions plus générales, extension à des auto-interactions menant à des fluctuations d'ordre n^(5/6). Nous étudions aussi des modèles dynamiques dont la distribution invariante est la loi de notre modèle d'Ising Curie-Weiss de criticalité auto-organisée. / In their famous 1987 article, Per Bak, Chao Tang and Kurt Wiesenfeld showed that certain complex systems, composed of a large number of dynamically interacting elements, are naturally attracted by critical points, without any external intervention. This phenomenon, called self-organized criticality, can be observed empirically or simulated on a computer in various models. However the mathematical analysis of these models turns out to be extremely difficult. Even models whose definition seems simple, such as the models describing the dynamics of a sandpile, are not well understood mathematically. The goal of this thesis is to design a model exhibiting self-organized criticality, which is as simple as possible, and which is amenable to a rigorous mathematical analysis. To this end, we modify the generalized Ising Curie-Weiss model by implementing an automatic control of the inverse temperature. For a class of symmetric distributions whose density satisfies some integrability conditions, we prove that the sum Sn of the random variables behaves as in the typical critical generalized Ising Curie-Weiss model: the fluctuations are of order n^(3/4) and the limiting law is C exp(- lambda*x^4) dx where C and lambda are suitable positive constants. Our study led us to generalize this model in several directions: the multidimensional case, more general interacting functions, extension to self-interactions leading to fluctuations with order n^(5/6). We also study dynamic models whose invariant distribution is the law of our Curie-Weiss model of self-organized criticality.

Die Digitalisierung ist in vollem Gange. Viele Geräte werden intelligent, das heißt sie bekommen ein eigenes Rechenwerk und werden mit permanentem Internetzugang ausgestattet. Da viele dieser neuen intelligenten Geräte möglichst mobil sein sollen, werden neue energieeffiziente nichtflüchtige Halbleiterspeicher notwendig. Das hat zur Folge, dass großer Forschungsaufwand in die Entwicklung neuer Speicherkonzepte und der dafür notwendigen Materialien gesteckt wird. Daraus ergibt sich ein breites Forschungsfeld für zukünftige Speicherkonzepte. Hierfür wird versucht auf Grundlage von ferroelektrischen, magnetischen oder resistiven Materialeigenschaften neue Speicherbauelemente zu entwickeln und zur Anwendung zu bringen. Daraus folgten bereits Konzepte wie der magnetische RAM, der resistive RAM und der ferroelektrische RAM. Neue ferroelektrische Speicherkonzepte basierend auf Materialien mit Perowskitstruktur zeigten zwar viele positive Eigenschaften, konnten aber mangels ausreichender Skalierbarkeit keinen breiten Marktzugang finden. Die Entdeckung von Ferroelektrizität in dünnen dotierten HfO2-Schichten kann dieses Problem überwinden und ist dadurch für die weitere Entwicklung neuer Speicherkonzepte von großer Bedeutung. Das Mischoxid Hafniumdioxid-Zirkondioxid hat sich als eines der geeignetsten auf Hafniumdioxid basierenden ferroelektrischen Materialsysteme erwiesen. Gemein haben alle ferroelektrischen hafniumbasierten Schichten, dass die polare orthorhombische Kristallphase der Ursprung des ferroelektrischen Verhaltens ist. Das Verständnis der Phasenübergänge und der Phasenstabilisierung in dotiertem, ferroelektrischem HfO2 ist somit von entscheidender Bedeutung für zukünftige ferroelektrische Speicheranwendungen. In dieser Arbeit wird der Einfluss der Sauerstoffkonzentration auf die Stabilisierung der monoklinen, orthorhombischen und tetragonalen Kristallphasen und deren Auswirkung auf die ferroelektrischen Eigenschaften untersucht. Dafür werden detaillierte elektrische und strukturelle Untersuchungen an gesputterten und mit Atomlagenabscheidung hergestellten, dünnen HfO2- und Hf(1-x)Zr(x)O2-Schichten vorgenommen. Die Sauerstoffkonzentration wurde entweder direkt über die Prozessparameter während der Abscheidung oder nachträglich durch Änderung der Elektrodenstöchiometrie beeinflusst. Dadurch konnten Parameter gefunden werden, die die Stabilisierung der ferroelektrischen orthorhombischen Kristallphase positiv beeinflussen. Temperaturabhängige Untersuchungen erlaubten zusätzlich die nähere Betrachtung welcher Klasse von Ferroelektrika ferroelektrisches Hafniumdioxid zugeordnet werden kann. Für den orthorhombisch-tetragonalen Phasenübergang konnte ein Phasenübergang erster Ordnung mit kleiner Temperaturhysterese und einem Peak in der relativen Permittivität, in Übereinstimmung mit dem Curie-Weiss-Verhalten, beobachtet werden. Mit diesen und weiteren Beobachtungen kann HfO2 sehr wahrscheinlich der Klasse der echten Ferroelektrika zugeordnet werden. Die Ergebnisse dieser Arbeit schließen eine weitere Lücke im Verständnis der Ferroelektrizität in HfO2 und können ein weiterer Schritt auf dem Weg zur Anwendung auf dem Massenmarkt sein.:Index I 1 Einleitung 1 2 Theoretische Grundlagen 3 2.1 Ferroelektrizität . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.1.1 Thermodynamische Betrachtungen der Ferroelektrizität . . . . . . . . . . . . . . 6 2.1.2 Preisach-Modell und das Auftreten ferroelektrischer Domänen . . . . . . . . . . 11 2.1.3 Reales ferroelektrisches Verhalten . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.2 Ferroelektrizität in HfO 2 -basierten Materialien . . . . . . . . . . . . . . . . . . . 13 2.2.1 Ursachen der Ferroelektrizität in Hafniumdioxid . . . . . . . . . . . . . . . . . . 16 2.2.2 Ferroelektrisches Verhalten dünner HfO 2 -Schichten . . . . . . . . . . . . . . . . . 21 2.3 Anwendungsmöglichkeiten ferroelektrischer Materialien . . . . . . . . . . . . . . 29 2.3.1 Speicheranwendungen . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 2.3.2 Weitere Anwendungsfelder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 3 Probenherstellung und deren elektrische und strukturelle Charakterisierung 36 3.1 Prozessfluss . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 3.1.1 Atomlagenabscheidung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 3.1.2 Sputterabscheidung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 3.2 Strukturelle Charakterisierung . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 3.3 Chemische Charakterisierung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 3.4 Elektrische Charakterisierung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 4 Stabilisierung der ferroelektrischen Phase in HfO 2 und der Einfluss der Sau- erstoffkonzentration 49 4.1 Undotiertes gesputtertes HfO 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 4.1.1 Eigenschaften undotierter gesputterter HfO 2 -Schichten . . . . . . . . . . . . . . . 51 4.1.2 Einfluss der Sauerstoffkonzentration während der Abscheidung auf die orthorhom- bische Phase . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 4.2 Zusammenspiel von Sauerstoffkonzentration und ZrO 2 -Konzentration . . . . . . 72 4.3 Einfluss von IrO 2 -Metalloxidelektroden auf die orthorhombische Phase der HfO 2 - Schichten . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 5 Temperaturstabilität der ferroelektrischen Schichten 97 5.1 Einfluss der Ozondosiszeit auf mit Atomlagenabscheidung hergestellte Hf 0,5 Zr 0,5 O 2 - Schichten . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 5.2 Temperaturabhängige Phasentransformation . . . . . . . . . . . . . . . . . . . . 102 5.3 Klassifizierung von ferroelektrischem HfO 2 . . . . . . . . . . . . . . . . . . . . . 120 5.4 Temperaturstabilität des Konditionierungseffekts . . . . . . . . . . . . . . . . . . 123 5.5 Zusammenfassung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 6 Zusammenfassung und Ausblick 127 Literaturverzeichnis XII Abbildungsverzeichnis XLII Tabellenverzeichnis LII A Abkürzungen und Formelzeichen LIII B Publikationsliste LVII C Danksagung LXII D Lebenslauf LXIV / Digitization is in full swing. Many prior offline devices are becoming smart devices with permanent internet access. Since many of these new smart devices are expected to be as mobile as possible, new energy-efficient non-volatile semiconductor memories are needed. As a consequence, a great effort of research is being put into the development of new memory concepts and the materials required for them. This results in the research field of emerging memories, which tries to develop and apply new memory concepts based on ferroelectric, magnetic or resistive material properties. Concepts such as magnetic RAM, resistive RAM and ferroelectric RAM followed. Ferroelectric memory concepts based on perovskite showed many positive properties, but could not find a broad market access due to a lack of sufficient scalability. The discovery of ferroelectricity in doped HfO2 thin films can overcome this problem and is thus of great importance for the further development of new memory concepts. The composition of hafnium dioxide and zirconium dioxide has proven to be one of the most suitable hafnium-based ferroelectric material systems. Common to all ferroelectric hafnium-based films is that the polar orthorhombic crystal phase is the origin of the ferroelectric behavior. Thus, understanding the phase transitions and stabilization in doped ferroelectric HfO2 is crucial for future ferroelectric memory applications. In this work, the influence of oxygen concentration on the stabilization of the monoclinic, orthorhombic and tetragonal crystal phase and its effect on the ferroelectric properties is investigated. For this purpose, detailed electrical and structural studies are performed on sputtered and atomic layer deposition prepared thin HfO2 and Hf(1-x)Zr(x)O2 films. The oxygen concentration was influenced either directly by the process parameters during deposition or subsequently by changing the electrode stoichiometry. Thus, parameters were found to positively influence the stabilization of the ferroelectric orthorhombic crystal phase. Temperature-dependent investigations additionally allowed a closer look at which class of ferroelectrics hafnium oxide-based ferroelectrics can be assigned to. For the orthorhombic-tetragonal phase transition, a first-order phase transition with small temperature hysteresis and a peak in relative permittivity, in agreement with the Curie-Weiss-behavior, could be observed. With these and other observations, HfO2 can most likely be assigned to the class of proper ferroelectrics. The results of this work fill another gap in the understanding of ferroelectricity in HfO2 and may be another step towards mass market applications.:Index I 1 Einleitung 1 2 Theoretische Grundlagen 3 2.1 Ferroelektrizität . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.1.1 Thermodynamische Betrachtungen der Ferroelektrizität . . . . . . . . . . . . . . 6 2.1.2 Preisach-Modell und das Auftreten ferroelektrischer Domänen . . . . . . . . . . 11 2.1.3 Reales ferroelektrisches Verhalten . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.2 Ferroelektrizität in HfO 2 -basierten Materialien . . . . . . . . . . . . . . . . . . . 13 2.2.1 Ursachen der Ferroelektrizität in Hafniumdioxid . . . . . . . . . . . . . . . . . . 16 2.2.2 Ferroelektrisches Verhalten dünner HfO 2 -Schichten . . . . . . . . . . . . . . . . . 21 2.3 Anwendungsmöglichkeiten ferroelektrischer Materialien . . . . . . . . . . . . . . 29 2.3.1 Speicheranwendungen . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 2.3.2 Weitere Anwendungsfelder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 3 Probenherstellung und deren elektrische und strukturelle Charakterisierung 36 3.1 Prozessfluss . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 3.1.1 Atomlagenabscheidung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 3.1.2 Sputterabscheidung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 3.2 Strukturelle Charakterisierung . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 3.3 Chemische Charakterisierung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 3.4 Elektrische Charakterisierung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 4 Stabilisierung der ferroelektrischen Phase in HfO 2 und der Einfluss der Sau- erstoffkonzentration 49 4.1 Undotiertes gesputtertes HfO 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 4.1.1 Eigenschaften undotierter gesputterter HfO 2 -Schichten . . . . . . . . . . . . . . . 51 4.1.2 Einfluss der Sauerstoffkonzentration während der Abscheidung auf die orthorhom- bische Phase . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 4.2 Zusammenspiel von Sauerstoffkonzentration und ZrO 2 -Konzentration . . . . . . 72 4.3 Einfluss von IrO 2 -Metalloxidelektroden auf die orthorhombische Phase der HfO 2 - Schichten . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 5 Temperaturstabilität der ferroelektrischen Schichten 97 5.1 Einfluss der Ozondosiszeit auf mit Atomlagenabscheidung hergestellte Hf 0,5 Zr 0,5 O 2 - Schichten . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 5.2 Temperaturabhängige Phasentransformation . . . . . . . . . . . . . . . . . . . . 102 5.3 Klassifizierung von ferroelektrischem HfO 2 . . . . . . . . . . . . . . . . . . . . . 120 5.4 Temperaturstabilität des Konditionierungseffekts . . . . . . . . . . . . . . . . . . 123 5.5 Zusammenfassung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 6 Zusammenfassung und Ausblick 127 Literaturverzeichnis XII Abbildungsverzeichnis XLII Tabellenverzeichnis LII A Abkürzungen und Formelzeichen LIII B Publikationsliste LVII C Danksagung LXII D Lebenslauf LXIV

<p>In this thesis we present a new space-time model of interacting agents in the financial market. It is a combination of the Curie-Weiss model and a model introduced by Järpe. We investigate properties such as the critical temperature and magnetization of the system. The distribution of the Hamiltonian function is obtained and a hypothesis test of independence is derived. The results are illustrated in an example based on real data.</p>

In this thesis we present a new space-time model of interacting agents in the financial market. It is a combination of the Curie-Weiss model and a model introduced by Järpe. We investigate properties such as the critical temperature and magnetization of the system. The distribution of the Hamiltonian function is obtained and a hypothesis test of independence is derived. The results are illustrated in an example based on real data.

The submitted thesis describes characteristics and use of the ferroelectric material which has their utilization in electronics and electro technical industry. The thesis describes behaviour ferroelectrics in temperature range. A suitable workplace was designed and its functionality was verified in selected ferroelectrics samples dependence of temperature of components of complex permittivity.

This thesis studies the properties and the applications of prospective ferroelectric materials which are used in electrical engineering and electronic industry. Further are physically explained and mathematically described the basic principles running in their structure. The practical part is aimed to build a workplace for measuring the components of the complex permittivity in the frequency and temperature area, controlled by the programmed measurement and service application using the Agilent VEE Pro 8.0 and MS Excel. The functionality of the workplace was verified on the selected material samples by measurement and evaluation of selected properties. For this issue was created electronic text, which can be used as a guide for laboratory exercises and it is an integral part of this work.