Thesis (Ph. D.)--University of Washington, 2008. / Vita. Includes bibliographical references (leaves 92-93).

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Thesis (Ph. D.)--Florida State University, 2004. / Advisors: Dr. Naresh Dalal, Dr. Johan van Tol, Florida State University, Arts and Sciences, Dept. of Chemistry and Biochemistry. Title and description from dissertation home page (viewed Jan. 18, 2005). Includes bibliographical references.

La majeure partie de cette thèse concerne l’étude de la susceptibilité diamagnétique en champ magnétique nul d’un gaz d’électrons de Bloch à température et densité fixées dans la limite de sfaibles températures. Pour les électrons libres (i.e. en l’absence de potentiel périodique), la susceptibilité diamagnétique a été calculée par L. Landau en 1930 ; le résultat est connu sous le nom de formule de Landau. Quant au cas des électrons de Bloch, E.R. Peierls montra en 1933 que dans l’approximation des électrons fortement liés, la formule pour la susceptibilité diamagnétique reste la même en remplaçant la masse de l’électron par sa ”masse effective” ; ce résultat est connu sous le nom de formule de Landau-Peierls. Depuis, de nombreuses tentatives pour clarifier les hypothèses de validité de la formule de Landau-Peierls ont vu le jour. Le résultat principal de cette thèse établit rigoureusement qu’à température nulle, lorsque la densité d’électrons tend vers zéro, la contribution dominante à la susceptibilité diamagnétique est donné par la formule de Landau-Peierls avecla masse effective de la plus petite bande d’énergie de Bloch. / The main part of this thesis deals with the zero-field diamagnetic susceptibility of a Blochelectrons gas at fixed temperature and fixed density in the limit of low temperatures. For a freeelectrons gas (that is when the periodic potential is zero), the steady diamagnetic susceptibilityhas been computed by L. Landau in 1930 ; the result is known as Landau formula. As for the Blochelectrons, E.R. Peierls in 1933 showed that under the tight-binding approximation, the formula forthe diamagnetic susceptibility remains the same but with the mass of the electron replaced by its”effective mass” ; this result is known as the Landau-Peierls formula. Since, there were very manyattempts in order to clarify the assumptions of validity of the Landau-Peierls formula. The mainresult of this thesis establishes rigorously that at zero temperature, as the density of electrons tendsto zero, the leading contribution of the diamagnetic susceptibility is given by the Landau-Peierlsformula with the effective mass of the lowest Bloch energy band.

Este trabalho consistiu no desenvolvimento de um sistema para medir a magnetização de amostras paramagnéticas e diamagnéticas em grandes volumes. Sua principal aplicação tem sido a medida susceptométrica do tecido hepático para a quantificação da sobrecarga de ferro no fígado. Esse excesso de ferro no corpo é comum em pacientes talassêmicos e falcêmicos, que são regularmente submetidos a transfusões de sangue e, em pacientes com hemocromatose. Em pessoas normais, esse depósito de ferro pode conter entre 0,1 e 0,5 mg de ferritina (ftn) por grama de tecido úmido (mg ftn/gtecido úmido). Quando com sobrecarga, pode alcançar até 30 mg ftn/gtecido úmido. A contribuição diamagnética devido à presença dos tecidos biológicos (água, pele, gordura, músculo, nervo, osso, etc) é equivalente à contribuição paramagnética devido à presença de, aproximadamente, 6 mg ftn/gtecido úmido distribuídos no tecido hepático. Essa intensa contribuição diamagnética foi sensivelmente reduzida com o uso de uma bolsa de água acoplada ao torso. Medidas in vitro foram realizadas num phantom, composto de um tubo cilíndrico de acrílico preenchido com água e uma esfera de plástico, acoplada internamente ao cilindro, preenchida com solução de Fe3+. O volume cilíndrico representa os tecidos e o esférico representa o fígado. Medidas in vivo foram realizadas com duas modalidades: com e sem o uso da bolsa de água sobre o torso. Essas medidas foram efetuadas em voluntários assintomáticos e pacientes talassêmicos sob tratamento no Hemocentro de Ribeirão Preto (HRP). A medida da magnetização foi realizada com um gradiômetro axial de segunda ordem, acoplado a um SQUID-RF. A amostra foi magnetizada com um campo magnético AC e homogêneo. Os resultados confirmaram a sensibilidade da técnica para quantificar níveis de ferro hepático em pacientes com sobrecarga, com eficiência de diferenciar níveis equivalentes àqueles encontrado(s) em pessoas normais. A automatização da instrumentação e a aquisição dos dados foram feitas em ambiente LabView e as simulações dos modelos, apresentadas juntamente com os processamentos dos sinais, foram realizadas em ambiente MatLab. / This work consisted in the development of a system to measure the magnetization of large paramagnetic and diamagnetic samples. The main application was susceptometric measurements of the hepatic tissue for quantification of the iron overload. Iron excess is commonly observed in thalassemic and sickle cell anemia patients who have repeatedly received red blood cell transfusions for prevention or treatment of chronic complications and in patients with hemocromatosis. In normal subjects, iron concentration is usually between 0.1 and 0.5 mg of ferritin by gram of wet tissue (mg ftn/gwet tissue). However, in individuals with the above diseases, it can reach up to 30 mg ftn/gwet tissue. The diamagnetic contribution due to the presence of biological tissues (water, skin, fat, muscle, nerve, bone, etc) is equivalent to the paramagnetic contribution due to the presence of approximately 6 mg ftn/gwet tissue distributed in the hepatic tissue. This intense diamagnetic contribution was makedly reduced by using a water bag coupled to the subject’s torso. Measurements in vitro were performed in a phantom composed of a cylindrical acrylic tube, filled with pure water containing a plastic sphere placed off axis to simulate the liver position. The sphere was filled with a Fe3+ solution to simulate different iron concentration present in the liver. Measurements in vivo were performed in thalassemic patients undergoing treatment at the Hemocentro de Ribeirão Preto (HRP) and in normal subjects using two different modalities: with and without the use of the water bag on the torso. The measurements of the magnetization were made using a second order axial gradiometer coupled to a RF SQUID. The sample was magnetized using a homogeneous AC magnetic field. The results confirmed the sensitivity of the technique to quantify levels of hepatic iron in patients with overload, with efficiency of differentiating iron levels equivalent to that found in normal subjects. Automation of instrumentation and data acquisition were done in LabView (National Instruments) and susceptometric models simulations and the signal processing were done in MatLab environment.

Este trabalho consistiu no desenvolvimento de um sistema para medir a magnetização de amostras paramagnéticas e diamagnéticas em grandes volumes. Sua principal aplicação tem sido a medida susceptométrica do tecido hepático para a quantificação da sobrecarga de ferro no fígado. Esse excesso de ferro no corpo é comum em pacientes talassêmicos e falcêmicos, que são regularmente submetidos a transfusões de sangue e, em pacientes com hemocromatose. Em pessoas normais, esse depósito de ferro pode conter entre 0,1 e 0,5 mg de ferritina (ftn) por grama de tecido úmido (mg ftn/gtecido úmido). Quando com sobrecarga, pode alcançar até 30 mg ftn/gtecido úmido. A contribuição diamagnética devido à presença dos tecidos biológicos (água, pele, gordura, músculo, nervo, osso, etc) é equivalente à contribuição paramagnética devido à presença de, aproximadamente, 6 mg ftn/gtecido úmido distribuídos no tecido hepático. Essa intensa contribuição diamagnética foi sensivelmente reduzida com o uso de uma bolsa de água acoplada ao torso. Medidas in vitro foram realizadas num phantom, composto de um tubo cilíndrico de acrílico preenchido com água e uma esfera de plástico, acoplada internamente ao cilindro, preenchida com solução de Fe3+. O volume cilíndrico representa os tecidos e o esférico representa o fígado. Medidas in vivo foram realizadas com duas modalidades: com e sem o uso da bolsa de água sobre o torso. Essas medidas foram efetuadas em voluntários assintomáticos e pacientes talassêmicos sob tratamento no Hemocentro de Ribeirão Preto (HRP). A medida da magnetização foi realizada com um gradiômetro axial de segunda ordem, acoplado a um SQUID-RF. A amostra foi magnetizada com um campo magnético AC e homogêneo. Os resultados confirmaram a sensibilidade da técnica para quantificar níveis de ferro hepático em pacientes com sobrecarga, com eficiência de diferenciar níveis equivalentes àqueles encontrado(s) em pessoas normais. A automatização da instrumentação e a aquisição dos dados foram feitas em ambiente LabView e as simulações dos modelos, apresentadas juntamente com os processamentos dos sinais, foram realizadas em ambiente MatLab. / This work consisted in the development of a system to measure the magnetization of large paramagnetic and diamagnetic samples. The main application was susceptometric measurements of the hepatic tissue for quantification of the iron overload. Iron excess is commonly observed in thalassemic and sickle cell anemia patients who have repeatedly received red blood cell transfusions for prevention or treatment of chronic complications and in patients with hemocromatosis. In normal subjects, iron concentration is usually between 0.1 and 0.5 mg of ferritin by gram of wet tissue (mg ftn/gwet tissue). However, in individuals with the above diseases, it can reach up to 30 mg ftn/gwet tissue. The diamagnetic contribution due to the presence of biological tissues (water, skin, fat, muscle, nerve, bone, etc) is equivalent to the paramagnetic contribution due to the presence of approximately 6 mg ftn/gwet tissue distributed in the hepatic tissue. This intense diamagnetic contribution was makedly reduced by using a water bag coupled to the subject’s torso. Measurements in vitro were performed in a phantom composed of a cylindrical acrylic tube, filled with pure water containing a plastic sphere placed off axis to simulate the liver position. The sphere was filled with a Fe3+ solution to simulate different iron concentration present in the liver. Measurements in vivo were performed in thalassemic patients undergoing treatment at the Hemocentro de Ribeirão Preto (HRP) and in normal subjects using two different modalities: with and without the use of the water bag on the torso. The measurements of the magnetization were made using a second order axial gradiometer coupled to a RF SQUID. The sample was magnetized using a homogeneous AC magnetic field. The results confirmed the sensitivity of the technique to quantify levels of hepatic iron in patients with overload, with efficiency of differentiating iron levels equivalent to that found in normal subjects. Automation of instrumentation and data acquisition were done in LabView (National Instruments) and susceptometric models simulations and the signal processing were done in MatLab environment.

Graphite is the strongest diamagnet of all known materials to date. Recent studies of the thickness dependence of the resistance of graphite have demonstrated the heterogeneity of the charge distribution in bulk graphite and prompted the study of its magnetic properties. The studies of the thickness dependence of the magnetic susceptibility of graphite, done in this work, showed that two-dimensional interfaces between the crystalline (Bernal or rhombohedral stacking order) blocks in graphite make a dominant contribution to its diamagnetic susceptibility. Previously proposed models of diamagnetism in graphite are not suitable for explaining its magnetic properties, and therefore new concepts should be considered. Additionally, the studies of the transport and magnetic properties of graphite and multilayer graphene indicated the existence of superconductivity at the interfaces in well-ordered graphite. The possibility of creating permanent circulating currents around artificial holes in highly oriented graphite was studied by highly sensitive magnetization measurements. The obtained results provide hints for the possible existence of superconducting regions inside the bulk highly ordered graphite. In the present thesis, a further thickness dependent phenomenon on the depinning line (DL) of the flux line lattice of the high-Tc superconductor Bi2Sr2CaCu2O8+δ was studied. This geometrical effect shifts to notably lower temperatures in micrometer ring, compared with bulk crystals and thin flakes. The shift is related to a decrease in the overall pinning potential as a result of size effects, caused by: a) the thickness of the sample being smaller than the pinning correlation length, and b) the increase in the effective London penetration depth of the vortices (Pearl vortices). The large shift of the DL to lower temperatures may significantly influence the suitability of such elements for device applications in microstrip antennas and THz emitters.

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Made available in DSpace on 2014-12-17T15:15:01Z (GMT). No. of bitstreams: 1 AndreAAM_TESE.pdf: 2226063 bytes, checksum: fe5fa44772a8628a39e211a6a6d4e925 (MD5) Previous issue date: 2014-04-25 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior / We address the generalization of thermodynamic quantity q-deformed by q-algebra that describes a general algebra for bosons and fermions . The motivation for our study stems from an interest to strengthen our initial ideas, and a possible experimental application. On our journey, we met a generalization of the recently proposed formalism of the q-calculus, which is the application of a generalized sequence described by two parameters deformation positive real independent and q1 and q2, known for Fibonacci oscillators . We apply the wellknown problem of Landau diamagnetism immersed in a space D-dimensional, which still generates good discussions by its nature, and dependence with the number of dimensions D, enables us future extend its application to systems extra-dimensional, such as Modern Cosmology, Particle Physics and String Theory. We compare our results with some experimentally obtained performing major equity. We also use the formalism of the oscillators to Einstein and Debye solid, strengthening the interpretation of the q-deformation acting as a factor of disturbance or impurity in a given system, modifying the properties of the same. Our results show that the insertion of two parameters of disorder, allowed a wider range of adjustment , i.e., enabling change only the desired property, e.g., the thermal conductivity of a same element without the waste essence / Abordamos a generaliza??o das quantidades termodin?micas q-deformadas atrav?s da q-?lgebra que descreve uma ?lgebra generalizada para b?sons e f?rmions. A motiva??o para o nosso estudo surge do interesse de fortalecer nossas id?ias iniciais, a fim de propor uma poss?vel aplica??o experimental. Em nossa jornada, conhecemos uma generaliza??o recentemente proposta ao formalismo do q-c?lculo, que ? a aplica??o de uma seq??ncia generalizada, descrita por dois par?metros de deforma??o reais positivos e independentes q1 e q2, conhecidos por osciladores de Fibonacci. Aplicamos ao conhecido problema do diamagnetismo de Landau imerso em um espa?o D-dimensional, que ainda gera boas discuss?es por sua natureza, e a depend?ncia com o n?mero de dimens?es D, nos possibilita futuramente estendermos a sua aplica??o para sistemas extra-dimensionais, tais como a CosmologiaModerna, a F?sica de Part?culas e Teoria de Cordas. Comparamos nossos resultados com alguns obtidos experimentalmente, apresentando grande equival?ncia. Aplicamos ainda o formalismo dos osciladores aos s?lidos de Einstein e Debye, fortalecendo ? interpreta??o da q-deforma??o atuando como um fator de perturba??o ou impureza, num determinado sistema, modificando as propriedades do mesmo. Nossos resultados mostram que a inser??o de dois param?tros de desordem, possibilitaram uma maior faixa de ajuste, ou seja, possibilitando alterar apenas a propriedade desejada, por exemplo, a condutividade t?rmica de um elemento sem que o mesmo perca sua ess?ncia .