Educação, Estado e Poder: o ensino médio em debate na Revista Brasileira de Estudos Pedagógicos (1962-1972)

Pós-graduação em Educação - FFC

O sistema político, partidário e eleitoral da República de Malta

This work is a study which deals with political, electoral and party features from the Republic of Malta. An interest that motivated the study is to understand how works the consolidated two-party system in the country, the cleavages which foster that features and the Maltese media groups alignment process to those prevailing political parties. Our goal is to identify the main factors which creates and maintain those features of a two-party model in Malta, and how much it overlaps the political and electoral models applied in the country. The analysis is mostly literature, also backing up data about the nation, on elections and political parties which allow enough stability for analysis and enables us an approach about the actual facts. The survey data and literature available is mainly in English, by the lack of academic papers on Malta in Brazilian Portuguese. Therefore, this work contributes as a small panorama of the Maltese political reality, which can serve as a point of comparison and reflection on other countries' realities, with a sharp bipolar political trend, strong social entrenchment of political parties, and media groups aligned to those

Processos de auto-regulação no curso de vida: controle primário e controle secundário

Este artigo discute conceitos relevantes à perspectiva do curso de vida, porém pouco difundidos no Brasil: controle primário e controle secundário. O primeiro se refere aos esforços que o indivíduo empreende para adaptar o ambiente às suas necessidades; o segundo, para se adaptar ao ambiente. Apresenta-se a formulação original dos conceitos como modelo de dois processos de controle, em oposição a modelos de processo único, como o do desamparo aprendido. Em seguida, discute-se revisão conceitual que trouxe modificação e ampliação para estes construtos, concebendo-os em um modelo bidimensional que articula controle primário e secundário com os conceitos de seleção e compensação. Nesse processo, apresentam-se contribuições no intuito de estimular a reflexão e expandir a discussão teórico-conceitual que envolve estes construtos.

Three dimensional Lifshitz black hole and the Korteweg-de Vries equation

We consider a solution of three dimensional New Massive Gravity with a negative cosmological constant and use the AdS/CTF correspondence to inquire about the equivalent two dimensional model at the boundary. We conclude that there should be a close relation of the theory with the Korteweg-de Vries equation. (C) 2012 Elsevier B.V..All rights reserved.

Facets of Gender : Analyses of the Family and the Labour Market

This thesis contains four different studies on the dynamics of gender in households and workplaces. The relationship between family life and work life is in focus, particularly in the paper on labour market outcomes after divorce. In the introductory chapter, the Swedish context is briefly described. The description focuses on gender differences in the labour market and in the home. Theories concerning the division of work in the household are discussed, as are two theories on labour market discrimination, viz. taste discrimination and statistical discrimination. The theory part is concluded with a discussion of social closure processes and gendered organizational structures. The Reproduction of Gender. Housework and Attitudes Towards Gender Equality in the Home Among Swedish Boys and Girls. The housework boys and girls age 10 to 18 do, and their attitudes towards gender equality in the home are studied. One aim is to see whether the work children do is gendered and if so, whether they follow their parents’, often gendered, pattern in housework. A second aim is to see whether parents’ division of work is related to the children’s attitude towards gender equality in the home. The data used are taken from the Swedish Child Level of Living Survey (Child-LNU) 2000. Results indicate that girls and boys in two-parent families are more prone to engage in gender-atypical work the more their parent of the same sex engages in this kind of work. The fact that girls still do more housework than boys indicates that housework is gendered work also among children. No relation between parents’ division of work and the child’s attitude towards gender equality in the home was found. Dependence within Families and the Household Division of Labor – A Comparison between Sweden and the United States. This paper assesses the relative explanatory value of the resource-bargaining perspective and the doing-gender approach in analysing the division of housework in the United States and Sweden from the mid-1970s to 2000. Data from the Swedish Level of Living Survey (LNU) and the Panel Study of Income Dynamics (PSID) were used. Overall results indicate that housework is truly gendered work in both countries during the entire period. Even so, the results also indicate that gender deviance neutralization is more pronounced in the United States than in Sweden. Unlike Swedish women, American women seem to increase their time spent in housework when their husbands are to some extent economically dependent on them, as if to neutralize the presumed gender deviance. Divorce and Labour Market Outcomes. Do Women Suffer or Gain? In this paper, the interconnected nature of work and family is studied by looking at labour market outcomes after divorce. The data used are retrospective work and family histories collected in LNU 1991. A hazard regression model with competing risks reveals that women’s chances of improving their occupational prestige appear to be better after divorce compared to before. Increased working hours and perhaps also increased energy invested in the job may pay off in better occupational opportunities. Worth noting, however, is that the outcome among women with a less firm labour market attachment is more often to a job of lower prestige than one of higher prestige. Hence, the labour market outcome for women after divorce is to some extent conditioned by their labour market attachment at the time of divorce. Men, on the other hand, in most cases seem to suffer occupationally from divorce. For separated men the risk of negative changes in occupational prestige is greater than for cohabiting men. Formal On-the-job Training. A Gender-Typed Experience and Wage- Related Advantage? Formal on-the-job training (FOJT) can have a positive impact on wages and on promotion opportunities. According to theory and earlier research, a two-step model of gender inequality in FOJT is predicted: First, women are less likely than men to take part in FOJT and, second, once women do get the more remunerative training, they are not rewarded for their new skills to the same extent as men are. Pooled cross-sectional data from the Swedish Survey of Living Conditions (ULF) in the mid-nineties were used. Results show that women are significantly less likely than men to take part in FOJT. Among those who do receive training, women are more likely to take part in industry-specific training, whereas men are more likely to participate in general training and training that increases promotion opportunities. The two latter forms of training significantly raise a man’s annual earnings but not a woman’s. Hence, the theoretical model is supported and it is argued that this gender inequality is partly due to employers’ discriminatory practices.

Supersymmetric Dark Matter : aspects of sfermion coannihilations

There is very strong evidence that ordinary matter in the Universe is outweighed by almost ten times as much so-called dark matter. Dark matter does neither emit nor absorb light and we do not know what it is. One of the theoretically favoured candidates is a so-called neutralino from the supersymmetric extension of the Standard Model of particle physics. A theoretical calculation of the expected cosmic neutralino density must include the so-called coannihilations. Coannihilations are particle processes in the early Universe with any two supersymmetric particles in the initial state and any two Standard Model particles in the final state. In this thesis we discuss the importance of these processes for the calculation of the relic density. We will go through some details in the calculation of coannihilations with one or two so-called sfermions in the initial state. This includes a discussion of Feynman diagrams with clashing arrows, a calculation of colour factors and a discussion of ghosts in non-Abelian field theory. Supersymmetric models contain a large number of free parameters on which the masses and couplings depend. The requirement, that the predicted density of cosmic neutralinos must agree with the density observed for the unknown dark matter, will constrain the parameters. Other constraints come from experiments which are not related to cosmology. For instance, the supersymmetric loop contribution to the rare b -> sγ decay should agree with the measured branching fraction. The principles of the calculation of the rare decay are discussed in this thesis. Also on-going and planned searches for cosmic neutralinos can constrain the parameters. In one of the accompanying papers in the thesis we compare the detection prospects for several current and future searches for neutralino dark matter.

Pattern recognition analysis on heavy ion reaction data

One of the problems in the analysis of nucleus-nucleus collisions is to get information on the value of the impact parameter b. This work consists in the application of pattern recognition techniques aimed at associating values of b to groups of events. To this end, a support vec- tor machine (SVM) classifier is adopted to analyze multifragmentation reactions. This method allows to backtracing the values of b through a particular multidimensional analysis. The SVM classification con- sists of two main phase. In the first one, known as training phase, the classifier learns to discriminate the events that are generated by two different model:Classical Molecular Dynamics (CMD) and Heavy- Ion Phase-Space Exploration (HIPSE) for the reaction: 58Ni +48 Ca at 25 AMeV. To check the classification of events in the second one, known as test phase, what has been learned is tested on new events generated by the same models. These new results have been com- pared to the ones obtained through others techniques of backtracing the impact parameter. Our tests show that, following this approach, the central collisions and peripheral collisions, for the CMD events, are always better classified with respect to the classification by the others techniques of backtracing. We have finally performed the SVM classification on the experimental data measured by NUCL-EX col- laboration with CHIMERA apparatus for the previous reaction.

Untersuchung der Filmbildung aus Polymerdispersionen mit Hilfe der forcierten Rayleighstreuung

Der Filmbildungsprozess wässriger Polymerdispersionen wurde mit forcierter Rayleighstreuung untersucht.Diffusionskoeffizienten D von Farbstoffsonden sind damit zwischen 10^-21 und 10^-9 m^2s^-1 zugänglich. Das Diffusionsverhalten der hydrophoben FarbstoffsondeAberchrome in feuchten und trockenen Filmen aus Poly(n-butylmethacrylat-co-acrylsäure)-Dispersionen sowie bei der Wiederbefeuchtung trockener Filme wurde untersucht.Die Dynamik von Aberchrome weicht in feuchten Filmen von Fickscher Diffusion ab. Dies äußert sich in Abweichungen vomcharakteristischen q^2-Verhalten der Relaxationsrate tau^-1 (tau^-1 = Dq^2; q:Streuvektor) und im Auftreten gestrecktexponentieller Intensitätsrelaxationskurven. Diese Anomalie wurde mit einem apparenten, längenskalenabhängigen Diffusionskoeffizienten Dapp(Lambda) (Lambda= 2Pi/q) beschrieben, der für Lambda -> 0 Werte annimmt, die einem homogen hydroplastifizierten Polymermaterial entsprechen, während Dapp(Lambda) für Lambda -> Unendlich stark anwächst. Diese Anomalien verschwinden bei Wassergehalten entsprechend der Polymerwasserlöslichkeit. Weiteres Trocknen führt zum Absinken des Fickschen-Diffusionskoeffizienten auf einen Grenzwert für trockene Filme. Die Ergebnisse konnten mit einem Zwei-Zustands-Modell beschrieben werden: Die Sonde diffundiert Ficksch in einer hydrophilen Grenzflächenphase und einer langsamen Polymerphase. Austausch zwischendiesen Phasen ist ohne Einschränkung möglich. Das Modell erlaubt die Quantifizierung des Einflusses des Trocknungsprozesses auf Polymer- und Grenzflächenphaseneigenschaften.Dies wurde durch systematische Veränderungen der Grenzflächeneigenschaften demonstriert. Dies geschah durch Acrylsäuregehaltvariationen in den Poly(n-butylmethacrylat-co-acrylsäure)-Dispersionen und Emulgatorbedeckungsgradvariationen. In beiden Fällen reflektieren sich Dispersionsveränderungen in einer Veränderung der Modellparameter in der Grenzflächenphase.

Plasmonenresonanzen von sichelförmigen metallischen Nanoobjekten

Metallische Objekte in der Größenordnung der optischen Wellenlänge zeigen Resonanzen im optischen Spektralbereich. Mit einer Kombination aus Kolloidlithographie, Metallfilmbedampfung und reaktivem Ionenstrahl¨atzen wurden Nanosicheln aus Gold bzw. Silber mit identischer Form und Orientierung in Sichelform mit einer Größe von 60nm bis 400nm hergestellt. Der Öffnungswinkel der Nanosicheln lässt sich kontinuierlich einstellen. Durch die einheitliche Orientierung lassen sich Messungen am Ensemble direkt auf das Verhalten des Einzelobjektes übertragen, wie ein Vergleich der Extinktionsspektren einer Ensemblemessung am UV/Vis/NIR-Spektrometer mit einer Einzelpartikelmessung in einem konfokalen Mikroskop zeigt. Die optische Antwort der Nanosicheln wurde als zwei-dimensionales Modell mit einer Finite Elemente Methode berechnet. Das Ergebnis sind mehrere polarisationsabhängige Resonanzen im optischen Spektrum. Diese lassen sich durch Variation des Öffnungswinkels und der Gr¨oße der Nanosichel verschieben. Durch Beleuchten lassen sich plasmonische Schwingungen anregen, die ein stark lokalisiertes Nahfeld an den Spitzen und in der Öffnung der Nanosicheln erzeugen. Das Nahfeld der Partikelresonanz wurde mit einer Fotolackmethode nachgewiesen. Die Untersuchungen am UV/Vis/NIR-Spektrometer zeigen mehrere polarisationsabhängige Resonanzen im Spektralbereich von 300 nm bis 3200 nm. Die Resonanzen der Nanosicheln lassen sich durch den Öffnungswinkel und den Durchmesser in der Größenordnung der Halbwertbreite im optischen Spektrum verschieben. In der Anwendung als Chemo- bzw. Biosensor zeigen Gold-Nanosicheln eine ähnliche Empfindlichkeit wie vergleichbare Sensoren auf der Basis von dünnen Metallstrukturen. Das Nahfeld zeichnet sich durch eine starke Lokalisierung aus und dringt, je nach Multipolordnung, zwischen 14 nm und 70 nm in die Umgebung ein. Quantenpunkte wurden an das Nahfeld der Nanosicheln gekoppelt. Die Emission der Quantenpunkte bei einer Wellenlänge von 860nm wird durch die Resonanz der Nanosicheln verstärkt. Die Nanosicheln wurden als optische Pinzette eingesetzt. Bei einer Anregung mit einem Laser bei einer Wellenlänge von 1064 nm wurden Polystyrolkolloide mit einem Durchmesser von 40 nm von den resonanten Nanosicheln eingefangen. Die Nanosicheln zeigen außergewöhnliche optische Eigenschaften, die mithilfe der Geometrieparameter über einen großen Bereich verändert werden können. Die ersten Anwendungen haben Anknüpfungspunkte zur Verwendung in der Sensorik, Fluoreszenzspektroskopie und als optische Pinzette aufgezeigt.

Electronic transport in the heavy fermion superconductors UPd 2 Al 3 and UNi 2 Al 3

This work addresses the electronical properties of the superconductors UPd2Al3 and UNi2Al3 on the basis of thin film experiments. These isotructural compounds are ideal candiates to study the interplay of magnetism and superconductivity due to the differences of their magnetically ordered states, as well as the experimental evidence for a magnetic pairing mechanism in UPd2Al3. Epitaxial thin film samples of UPd2Al3 and UNi2Al3 were prepared using UHV Molecular Beam Epitaxy (MBE). For UPd2Al3, the change of the growth direction from the intrinsic (001) to epitaxial (100) was predicted and sucessfully demonstrated using LaAlO3 substrates cut in (110) direction. With optimized deposition process parameters for UPd2Al3 (100) on LaAlO3 (110) superconducting samples with critical temperatures up to Tc = 1.75K were obtained. UPd2Al3-AlOx-Ag mesa junctions with superconducting base electrode were prepared and shown to be in the tunneling regime. However, no signatures of a superconducting density of states were observed in the tunneling spectra. The resistive superconducting transition was probed for a possible dependence on the current direction. In contrast to UNi2Al3, the existence of such feature was excluded in UPd2Al3 (100) thin films. The second focus of this work is the dependence of the resisitive transition in UNi2Al3 (100) thin films on the current direction. The experimental fact that the resisitive transition occurs at slightly higher temperatures for I║a than for I║c can be explained within a model of two weakly coupled superconducting bands. Evidence is presented for the key assumption of the two-band model, namely that transport in and out of the ab-plane is generated on different, weakly coupled parts of the Fermi surface. Main indications are the angle dependence of the superconducting transition and the dependence of the upper critical field Bc2 on current and field orientation. Additionally, several possible alternative explanations for the directional splitting of the transition are excluded in this work. An origin due to scattering on crystal defects or impurities is ruled out, likewise a relation to ohmic heating or vortex dynamics. The shift of the transition temperature as function of the current density was found to behave as predicted by the Ginzburg-Landau theory for critical current depairing, which plays a significant role in the two-band model. In conclusion, the directional splitting of the resisitive transition has to be regarded an intrinsic and unique property of UNi2Al3 up to now. Therefore, UNi2Al3 is proposed as a role model for weakly coupled multiband superconductivity. Magnetoresistance in the normalconducting state was measured for UPd2Al3 and UNi2Al3. For UNi2Al3, a negative contribution was observed close to the antiferromagnetic ordering temperature TN only for I║a, which can be associated to reduced spin-disorder scattering. In agreement with previous results it is concluded that the magnetic moments have to be attributed to the same part of the Fermi surface which generates transport in the ab-plane.

Non-Linear Analysis and Design of Synchronous Bearingless Multiphase Permanent Magnet Machines and Drives

A two-dimensional model to analyze the distribution of magnetic fields in the airgap of a PM electrical machines is studied. A numerical algorithm for non-linear magnetic analysis of multiphase surface-mounted PM machines with semi-closed slots is developed, based on the equivalent magnetic circuit method. By using a modular structure geometry, whose the basic element can be duplicated, it allows to design whatever typology of windings distribution. In comparison to a FEA, permits a reduction in computing time and to directly changing the values of the parameters in a user interface, without re-designing the model. Output torque and radial forces acting on the moving part of the machine can be calculated. In addition, an analytical model for radial forces calculation in multiphase bearingless Surface-Mounted Permanent Magnet Synchronous Motors (SPMSM) is presented. It allows to predict amplitude and direction of the force, depending on the values of torque current, of levitation current and of rotor position. It is based on the space vectors method, letting the analysis of the machine also during transients. The calculations are conducted by developing the analytical functions in Fourier series, taking all the possible interactions between stator and rotor mmf harmonic components into account and allowing to analyze the effects of electrical and geometrical quantities of the machine, being parametrized. The model is implemented in the design of a control system for bearingless machines, as an accurate electromagnetic model integrated in a three-dimensional mechanical model, where one end of the motor shaft is constrained to simulate the presence of a mechanical bearing, while the other is free, only supported by the radial forces developed in the interactions between magnetic fields, to realize a bearingless system with three degrees of freedom. The complete model represents the design of the experimental system to be realized in the laboratory.

The reconstruction of skeletal movement: the soft tissue artefact issue

In 3D human movement analysis performed using stereophotogrammetric systems and skin markers, bone pose can only be estimated in an indirect fashion. During a movement, soft tissue deformations make the markers move with respect to the underlying bone generating soft tissue artefact (STA). STA has devastating effects on bone pose estimation and its compensation remains an open question. The aim of this PhD thesis was to contribute to the solution of this crucial issue. Modelling STA using measurable trial-specific variables is a fundamental prerequisite for its removal from marker trajectories. Two STA model architectures are proposed. Initially, a thigh marker-level artefact model is presented. STA was modelled as a linear combination of joint angles involved in the movement. This model was calibrated using ex-vivo and in-vivo STA invasive measures. The considerable number of model parameters led to defining STA approximations. Three definitions were proposed to represent STA as a series of modes: individual marker displacements, marker-cluster geometrical transformations (MCGT), and skin envelope shape variations. Modes were selected using two criteria: one based on modal energy and another on the selection of modes chosen a priori. The MCGT allows to select either rigid or non-rigid STA components. It was also empirically demonstrated that only the rigid component affects joint kinematics, regardless of the non-rigid amplitude. Therefore, a model of thigh and shank STA rigid component at cluster-level was then defined. An acceptable trade-off between STA compensation effectiveness and number of parameters can be obtained, improving joint kinematics accuracy. The obtained results lead to two main potential applications: the proposed models can generate realistic STAs for simulation purposes to compare different skeletal kinematics estimators; and, more importantly, focusing only on the STA rigid component, the model attains a satisfactory STA reconstruction with less parameters, facilitating its incorporation in an pose estimator.

Study of the effect of minor compounds on the oxidative stability and physical properties of bulk oil, oil-in-water emulsion, and food emulsions

Minor components are of particular interest due to their antioxidant and biological properties. Various classes of lipophilic minor components (plant sterols (PS) and α-tocopherol) were selected as they are widely used in the food industry. A Fast GC-MS method for PS analysis in functional dairy products was set up. The analytical performance and significant reduction of the analysis time and consumables, demonstrated that Fast GC-MS could be suitable for the PS analysis in functional dairy products. Due to their chemical structure, PS can undergo oxidation, which could be greatly impacted by matrix nature/composition and thermal treatments. The oxidative stability of PS during microwave heating was evaluated. Two different model systems (PS alone and in combination) were heated up to 30 min at 1000 W. PS degraded faster when they were alone than in presence of TAG. The extent of PS degradation depends on both heating time and the surrounding medium, which can impact the quality and safety of the food product destined to microwave heating/cooking. Many minor lipid components are included in emulsion systems and can affect the rate of lipid oxidation. The oxidative stability of oil-in-water (O/W) emulsions containing PS esters, ω-3 FA and phenolic compounds, were evaluated after a 14-day storage at room temperature. Due to their surface active character, PS could be particularly prone to oxidation when they are incorporated in emulsions, as they are more exposed to water-soluble prooxidants. Finally, some minor lipophilic components may increase oxidative stability of food systems due to their antioxidant activity. á-tocopherol partitioning and antioxidant activity was determined in the presence of excess SDS in stripped soybean O/W emulsions. Results showed that surfactant micelles could play a key role as an antioxidant carrier, by potentially increasing the accessibility of hydrophobic antioxidant to the interface.

Prozessevaluation einer kognitiv-verhaltenstherapeutischen Gruppentherapie bei Diabetes und Depression : Entwicklung und Validierung der Patienten- und Therapeuten- Gruppentherapiestundenbögen (GTS-P, GTS-T, GTS-TP) zur Vorhersage des Therapieerfolgs

Untersucht werden Prozess-Ergebnis-Zusammenhänge einer kognitiv-verhaltenstherapeutischen Gruppentherapie für Diabetes und Depression im Rahmen der DAD-Studie. rnAufgrund des Mangels an geeigneten Erhebungsinstrumenten der validen, ökonomischen und komplementären Sitzungsbewertung von Gruppenpatienten und -therapeuten wurden angelehnt an einen Patienten- (GTS-P) zwei Therapeutenstundenbögen entwickelt: der GTS-T zur Bewertung der Gesamtgruppe und der GTS-TP zur Bewertung einzelner Patienten. Die GTS-Bögen zeigen bei der Überprüfung der Testgüte insgesamt gute Itemparameter und Reliabilitäten. Das in den exploratorischen Faktorenanaylsen des GTS-P identifizierte zweifaktorielle Modell (1. wahrgenommene Zuversicht hinsichtlich der Gruppentherapie, 2. wahrgenommene persönliche Beteiligung) kann in den konfirmatorischen Faktorenanalysen bestätigt werden. Dazu wurden GTS-P-Daten aus einer Untersuchung mit Patienten mit somatoformen Störungen (Schulte, 2001) einbezogen. Den Ergebnissen der Item- und Faktorenanalysen folgend, wurden zwei Items des GTS-P und zwei weitere Items des GTS-T aus den Instrumenten ausgeschlossen. Für den GTS-T zeigt sich eine einfaktorielle, für den GTS-TP eine zum GTS-P parallele zweifaktorielle Struktur. rnIn den Mehrebenenanalysen zur Vorhersage des Therapieergebnisses (Post-Depressionssymptomatik) zeigt sich die Skala Zuversicht des GTS-P zu Therapiebeginn (1.-4. Sitzung) kontrolliert an der Skala Beteiligung und der Prä-Symptomatik, als valider Prädiktor. Das Item 5 „Anregungen“ (Skala Zuversicht) und Item 2 „Aktive Mitwirkung“ (Skala Beteiligung) sind am stärksten an diesem Effekt beteiligt, da diese Itemkombination das Therapieergebnis ebenfalls valide vorhersagen kann. Die Prognose ist schon durch die Werte der ersten Gruppentherapiesitzungen in der Remoralisierungsphase (Howard et al., 1993) möglich und verbessert sich nicht bei Berücksichtigung aller 10 Gruppensitzungen. Die Therapeutenbögen zeigen keine prädiktive Validität. Bedeutsame Zusammenhänge der Patienten- und Therapeutenbewertungen finden sich lediglich für den GTS-P und GTS-TP. Weitere Prädiktoren, wie der Diabetestyp, Diabeteskomplikationen und die Adhärenz, konnten nicht zur Verbesserung der Vorhersage beitragen. Für sekundär überprüfte Kriterien gelang die Prognose lediglich für ein weiteres Maß der Depressionssymptomatik und für eine Gesamtbewertung der Gruppentherapie durch die Patienten zu Therapieende. Bei der deskriptiven Betrachtung der Prozessqualität der DAD-Gruppentherapien zeigen sich positive, über den Verlauf der Gruppe zunehmende und nach Therapiephasen differenzierbare Bewertungsverläufe. rnDie Ergebnisse der Studie sprechen für die Relevanz von unspezifischen Wirkfaktoren für das Therapieergebnis von kognitiv-behavioralen Gruppentherapien. Die von den Gruppenpatienten wahrgenommene Zuversicht und Beteiligung als Zeichen der Ansprechbarkeit auf die Therapie sollte mit Hilfe von Stundenbögen, wie den GTS-Bögen, von Gruppentherapeuten zur Prozessoptimierung und Prävention von Therapieabbrüchen und Misserfolgen beachtet werden. rn

Exact quantum Monte Carlo methods for correlated electron systems

Thema dieser Arbeit ist die Entwicklung und Kombination verschiedener numerischer Methoden, sowie deren Anwendung auf Probleme stark korrelierter Elektronensysteme. Solche Materialien zeigen viele interessante physikalische Eigenschaften, wie z.B. Supraleitung und magnetische Ordnung und spielen eine bedeutende Rolle in technischen Anwendungen. Es werden zwei verschiedene Modelle behandelt: das Hubbard-Modell und das Kondo-Gitter-Modell (KLM). In den letzten Jahrzehnten konnten bereits viele Erkenntnisse durch die numerische Lösung dieser Modelle gewonnen werden. Dennoch bleibt der physikalische Ursprung vieler Effekte verborgen. Grund dafür ist die Beschränkung aktueller Methoden auf bestimmte Parameterbereiche. Eine der stärksten Einschränkungen ist das Fehlen effizienter Algorithmen für tiefe Temperaturen.rnrnBasierend auf dem Blankenbecler-Scalapino-Sugar Quanten-Monte-Carlo (BSS-QMC) Algorithmus präsentieren wir eine numerisch exakte Methode, die das Hubbard-Modell und das KLM effizient bei sehr tiefen Temperaturen löst. Diese Methode wird auf den Mott-Übergang im zweidimensionalen Hubbard-Modell angewendet. Im Gegensatz zu früheren Studien können wir einen Mott-Übergang bei endlichen Temperaturen und endlichen Wechselwirkungen klar ausschließen.rnrnAuf der Basis dieses exakten BSS-QMC Algorithmus, haben wir einen Störstellenlöser für die dynamische Molekularfeld Theorie (DMFT) sowie ihre Cluster Erweiterungen (CDMFT) entwickelt. Die DMFT ist die vorherrschende Theorie stark korrelierter Systeme, bei denen übliche Bandstrukturrechnungen versagen. Eine Hauptlimitation ist dabei die Verfügbarkeit effizienter Störstellenlöser für das intrinsische Quantenproblem. Der in dieser Arbeit entwickelte Algorithmus hat das gleiche überlegene Skalierungsverhalten mit der inversen Temperatur wie BSS-QMC. Wir untersuchen den Mott-Übergang im Rahmen der DMFT und analysieren den Einfluss von systematischen Fehlern auf diesen Übergang.rnrnEin weiteres prominentes Thema ist die Vernachlässigung von nicht-lokalen Wechselwirkungen in der DMFT. Hierzu kombinieren wir direkte BSS-QMC Gitterrechnungen mit CDMFT für das halb gefüllte zweidimensionale anisotrope Hubbard Modell, das dotierte Hubbard Modell und das KLM. Die Ergebnisse für die verschiedenen Modelle unterscheiden sich stark: während nicht-lokale Korrelationen eine wichtige Rolle im zweidimensionalen (anisotropen) Modell spielen, ist in der paramagnetischen Phase die Impulsabhängigkeit der Selbstenergie für stark dotierte Systeme und für das KLM deutlich schwächer. Eine bemerkenswerte Erkenntnis ist, dass die Selbstenergie sich durch die nicht-wechselwirkende Dispersion parametrisieren lässt. Die spezielle Struktur der Selbstenergie im Impulsraum kann sehr nützlich für die Klassifizierung von elektronischen Korrelationseffekten sein und öffnet den Weg für die Entwicklung neuer Schemata über die Grenzen der DMFT hinaus.