Cette thèse discute essentiellement sur le champ critique supérieur du supraconducteur ferromagnétique UCoGe. La conductivité thermique et d'autres méthodes expérimentales ont été utilisées pour confirmer les nombreux comportements particuliers de Hc2 dans UCoGe, précédemment observés dans des études de résistivité. Ces caractéristiques, y compris une anisotropie forte et des courbures anormales, ne peuvent pas être interprétées en termes de théories classiques pour Hc2. Au lieu de cela, un phénomène spécifique aux supraconducteurs ferromagnétiques - la dépendance en champ de l'interaction d'appariement doit être considéré. Nous montrons que cet effet peut être analysé de façon cohérente avec des propriétés de la phase normales et peut être aussi comparé quantitativement avec une théorie existante. Ceci conduit à une clarification nette pour le cas de H//c dans UCoGe, et explique en même temps le comportement différent de Hc2 dans UCoGe et URhGe. Ces résultats soutiennent fortement l'origine magnétique de la supraconductivité dans ces systèmes. Pour H//b, nous montrons que certaines observations expérimentales convergentes suggèrent un possible changement d'état supraconducteur induit par le champ magnétique transversal dans UCoGe. Indépendamment du reste de l'étude, le dernier chapitre présente quelques résultats expérimentaux sur la phase normale de UCoGe et sur l'autre système de fermions lourds UBe13. / This thesis mainly discuss the upper critical field of the ferromagnetic superconductor UCoGe.Thermal conductivity and other experimental methods have been used to confirm the numerous particularbehaviors of Hc2 in UCoGe, previously observed in resistivity studies. These features, including the stronganisotropy and the anomalous curvatures, cannot be interpreted in terms of classical theories for Hc2.Instead, a phenomenon specific to the ferromagnetic superconductors - the field dependence of the pairinginteraction, needs to be considered. We show that this effect can be consistently analyzed with normalphase properties, and is quantitatively compared with existing theory. This leads to a net clarificationfor the case of H//c in UCoGe, and at the same timeexplains the different behavior of Hc2 in UCoGe and URhGe. These resultsstrongly support the magnetic origin of superconductivity in these systems. For H//b, we showconvergent experimental observations that suggest a possible change of the superconducting state inducedby the transverse magnetic field in UCoGe. Independent from the rest of the study, the last chapter presents someexperimental results on the normal phase of UCoGe and on the other heavy-fermion system UBe13.

Made available in DSpace on 2014-06-11T19:32:10Z (GMT). No. of bitstreams: 0 Previous issue date: 2005-03Bitstream added on 2014-06-13T20:27:16Z : No. of bitstreams: 1 marchioro_dfz_dr_ift.pdf: 456969 bytes, checksum: 2a5b04c825c9224829a3bca3da7ebeb7 (MD5) / Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) / Nesta tese, mostramos a equivalência dos formalismos de Green-Schwarz e de espinores puros para a supercorda. Partindo da ação de Green-Schwarz no semi-gauge de cone de luz e adicionando graus de liberdade fermiônicos, relacionamos os operadores BRST do formalismo de espinores puros e de Green-Schwarz no semi-gauge de cone de luz através de transformações de similaridade, indicando a equivalência das respectivas cohomologias. Esta prova de equivalência é uma generalização do procedimento usado para relacionar a superpartícula de Brink-Schwarz e a superpartícula do formalismo de espinores puros. / Abstracts: In this thesis, we have shown the equivalence of the Green-Schwarz and pure spinor formalisms for the superstring. Starting from the Green-Schwarz action in the semi-light-cone gauge additional fermionic degrees of freedom, we have related the BRST operator of pure spinor formalism to the semi-light-cone Green-Schwarz operator through similarity transformations, indicating the equivalence of the cohomologies. This equivalence proof is a generalization of the procedure used to related the Brink-Schwarz and pure spinor's superparticle.

Cette thèse porte sur l'étude de la dynamique de spin dans CeCoIn5 et plus précisément sur l'étude de la "résonance de spin" dans ce composé. CeCoIn5 est le composé à fermions lourds à base de cérium ayant la température de supraconductivité la plus élevé ( Tc = 2.3 K) et présente une supraconductivité non-conventionnelle avec un gap de type d_{x^2-y^2}. Dans l'état supraconducteur, le spectre des excitations magnétiques est radicalement modifié avec l'apparition d'un excitation particulièrement intense appelé "Résonance de spin". Ce type d'excitations a déjà été découvert dans les supraconducteurs haute-températures, dans d'autres composés à fermions lourds et également dans les nouveaux supraconducteurs au Fer. Dans cette thèse, nous étudions l'évolution de la résonance de spin en présence d'un champ magnétique et avec l'introduction d'impuretés magnétiques et non-magnétiques. D'après notre étude, les impuretés vont influer sur la résonance de spin via le gap supraconducteur, en effet la présence d'impuretés diminue le gap supraconducteur et l'énergie de la résonance de spin va diminuer de manière proportionnelle. L'influence du champ magnétique est délicate à considérer mais nos recherches porteraient vers un splitting Zeeman de la résonance de spin en accord avec les modèles développés pour les cuprates. / In this thesis, the spin dynamics of CeCoIn5 has been studied by inelastic neutron scattering. CeCoIn5 presents the highest critical temperature ( Tc = 2.3 K) among heavy fermion Ce-based compounds and shows an unconventionnal supraconductivity with a $d_{x^2-y^2}$-wave gap. The magnetic excitation spectra is radically changed in the supraconducting state with the apparition of an intense excitation named "Spin resonance". This kind of excitation has already been discovered in high-Tc superconductors and even in the new Iron-based superconductors. In this thesis, we focused on the evolution of the spin resonance with the application of a magnetic field and the introduction of magnetic and non-magnetic impurities. From our study, the main effect of impurities is to decrease the superconducting gap which leads to a proportionnal decrease of the resonance energy. The case of magnetic field is more difficult and our researchs suggest a Zeeman splitting of the spin resonance in agreements with the models developped for the cuprates.

Submitted by ANDRE RAMALHO DOS SANTOS null (ramalho_inf@yahoo.com.br) on 2018-02-14T03:20:16Z No. of bitstreams: 1 Dissertação André Ramalho.final.pdf: 2789018 bytes, checksum: d4170ea3aaec8f302b447a0aac5e5986 (MD5) / Approved for entry into archive by Ana Paula Santulo Custódio de Medeiros null (asantulo@rc.unesp.br) on 2018-02-14T16:54:15Z (GMT) No. of bitstreams: 1 santos_ar_me_rcla.pdf: 2620534 bytes, checksum: cb88b11f48c3fc7b2fef3c938febb8e0 (MD5) / Made available in DSpace on 2018-02-14T16:54:15Z (GMT). No. of bitstreams: 1 santos_ar_me_rcla.pdf: 2620534 bytes, checksum: cb88b11f48c3fc7b2fef3c938febb8e0 (MD5) Previous issue date: 2017-11-30 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / Nós estudamos teoricamente como o calor e a eletricidade são afetados pela sobreposição de dois férmions de Majorana (MFs, de Majorana fermions em Inglês), os quais estão isolados nas bordas de um fio topológico de Kitaev, em particular, na forma de “ferradura”. É considerado que esse fio está assimetricamente acoplado a um único ponto quântico (QD, de Quantum dot em Inglês) hibridizado com contatos metálicos. Em baixas temperaturas e dependente do nível de energia desse QD, nós mostramos que ao ajustar a assimetria acima, as respostas ressonantes das condutâncias termoelétricas mudam inesperadamente de forma drástica. Assim, propomos como aplicação, um sintonizador termoelétrico em nanoescala assistido por MFs. / We study theoretically in a topological U-shaped Kitaev wire, with Majorana fermions (MFs) on the edges, how heat and electricity are affected by them when found overlapped. The asymmetric regime of their couplings with a single quantum dot (QD) hybridized with metallic leads is considered. At low temperatures and dependent upon the QD energy level, we show that by tuning this asymmetry, the resonance positions of the thermoelectrical conductances change drastically. Thereby, the tuner of heat and electricity here proposed is constituted.

Orientador: Pascoal Jose Giglio Pagliuso / Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Fisica Gleb Wataghin / Made available in DSpace on 2018-08-15T21:09:50Z (GMT). No. of bitstreams: 1 Bittar_EduardoMatzenbacher_D.pdf: 12237565 bytes, checksum: 74dcda9fcb1da9b6fc8d992b53297127 (MD5) Previous issue date: 2010 / Resumo: Séries de compostos que apresentam a ocorrência de fenômenos físicos interessantes em materiais estruturalmente simples constituem uma excelente oportunidade para se estudar sistematicamente a inter-relação entre tais fenômenos e suas origens microscópicas, sem se ater a efeitos associados com estruturas cristalinas complexas, de mais baixa simetria. Nesse sentido, esta Tese se propôs a estudar três temas de investigação: o sistema CeIn3-xSnx e o seu análogo não magnético LaIn3-xSnx, o sistema CeIn3-xCdx e o composto YbAl3 e o seu composto de referência LuAl3. O sistema CeIn3-xSnx apresenta um ponto crítico quântico (QCP) em x ? 0.7, onde a ordem antiferromagnética (TN = 10 K no CeIn3) é totalmente suprimida. Para 0.7 < x < 2 os compostos são líquidos de Fermi e a partir de x = 2 apresentam valência intermediária. Nesse sistema, dopado com Gd3+, medidas de ressonância de spin eletrônico (ESR) indicaram que o elétron 4f do Ce passa de um comportamento com momento localizado para itinerante com a dopagem de Sn. Os resultados de ESR do Gd3+ no sistema LaIn3-xSnx foram analisados com um modelo de uma única banda (tipo s) e sem dependência com a transferência de momento. Também investigamos o sistema CeIn3-xCdx através de medidas de susceptibilidade magnética, calor específico e resistividade elétrica. A substituição do In por Cd diminui a TN do CeIn3 e igualmente faz o coeficiente do calor específico eletrônico decrescer, indicando que o sistema não está na direção de um QCP. Os compostos YbAl3 e LuAl3, dopados com Gd3+, também foram estudados por ESR, porém, na análise, utilizou-se um modelo de múltiplas bandas para explicar os resultados. Medidas de calor específico e susceptibilidade magnética, nessas amostras, mostraram que interações de troca elétron-elétron estão presentes em ambos os compostos. Esses resultados microscópicos podem ser importantes em modelos teóricos mais realistas para materiais férmions pesados de valência intermedi'aria a base de Yb / Abstract: Series of compounds which have interesting physical phenomena, occurring in structurally simple materials, provide an excellent opportunity to systematically study the interrelationship between these phenomena and their microscopic origins, without worrying about effects associated with other complex crystal structures of lower symmetry. Thus, this thesis set out to study three research themes: the CeIn3-xSnx system and its nonmagnetic analogue LaIn3-xSnx, the CeIn3-xCdx system and the YbAl3 compound and its reference compound LuAl3. The CeIn3-xSnx system has a quantum critical point (QCP) at x ? 0.7, where the antiferromagnetic order (TN = 10 K in CeIn3) is totally suppressed. For 0.7 < x < 2 the compounds are Fermi liquids and from x = 2 the materials show intermediate valence behavior. In this system, doped with Gd3+, measurements of electron spin resonance (ESR) indicated that the Ce 4f electron presents a crossover between a localized to itinerant behavior with Sn doping. The ESR results of Gd3+ in the LaIn3-xSnx system were analyzed with a single band model (s type) and no q dependence. We also investigated the CeIn3-xCdx system by measuring magnetic susceptibility, specific heat and electrical resistivity proprieties. The substitution of In by Cd decreases the TN of CeIn3 and also decreases the electronic specific heat coefficient, indicating that the system is not being tuned to a QCP. The YbAl3 and LuAl3 compounds, doped with Gd3+, were also studied by ESR, but in the analysis, we used multiband model to explain the results. Specific heat and magnetic susceptibility measurements in these samples showed that electron-electron exchange interactions are present in both compounds. These ESR results may be relevant to construct more realistic models of the microscopic behavior of other heavy fermion-based intermediate valence Yb compounds / Doutorado / Física da Matéria Condensada / Doutor em Ciências

In this thesis, we study quantum phase transitions and topological phases in low dimensional fermionic systems. In the first part, we study quantum phase transitions and the nature of currents in one-dimensional systems, using eld theoretic techniques like bosonization and renormalization group. This involves the study of currents in Luttinger liquids, and the fate of a persistent current in a 1D system. In the second part of the thesis, we study the different types of Majorana edge modes in a 1D p-wave topological superconductor. Further we extend our analysis to the e ect of an additional s-wave pairing and a Zeeman field on the topological properties, and present a detailed phase diagram and symmetry classification for each of the cases. In the third part, we concentrate on the topological phases in two-dimensional systems. More specifically, we study the experimental realization of SU(3) topological phases in optical lattice experiments, which is characterized by the presence of gapless edge modes at the boundaries of the system. We discuss the specific characteristics required by a such a three component Hamiltonian to have a non-zero Chern number, and discuss a schematic lattice model for a possible experimental realization. The thesis is divided into three chapters, as discussed below: In the first chapter, we study the effect of a boost (Fermi sea displaced by a finite momentum) on one dimensional systems of lattice fermions with short-ranged interactions. In the absence of a boost such systems with attractive interactions possess algebraic superconducting order. Motivated by physics in higher dimensions, one might naively expect a boost to weaken and ultimately destroy superconductivity. However, we show that for one dimensional systems the e ect of the boost can be to strengthen the algebraic superconducting order by making correlation functions fall o more slowly with distance. This phenomenon can manifest in interesting ways, for example, a boost can produce a Luther-Emery phase in a system with both charge and spin gaps by engendering the destruction of the former. In the second chapter, we study the type of Majorana modes and the topological phases that can appear in a one-dimensional spinless p-wave superconductor. We have considered two types of p-wave pairing, 4"" = 4## and 4"" = 4##., and show that in both cases two types of Majorana bound states (MBS) with different spatial dependence emerge at the edges: one purely decaying and one damped oscillatory. Even in the presence of a Zeeman term B, this nature of the MBS persists in each case, where the value of chemical potential and magnetic field B decides which type will appear. We present a corresponding phase diagram, indicating the number and type of MBS in the -B space. Further, we identify the possible symmetry classes for the two cases (based on the ten-fold classification), and also in the presence of perturbations like a s-wave pairing and various terms involving magnetic field. It is seen that in the presence of a s-wave perturbation, the MBS will now have only one particular nature, the damped oscillating behaviour, unlike that for the unperturbed p-wave case. In the third chapter, we study SU(3) topological phases in two dimension. It is shown by Barnett et.al that N copies of the Hofstadter model with 2N Abelian ux per plaquette is equivalent to an N-component atom coupled to a homogeneous non-Abelian SU(N) gauge field in a square lattice. Such models have non-zero Chern number and for N = 3, can be written in terms of the SU(3) generators. In our work, we uncover two salient ingredients required to express a general three-component lattice Hamiltonian in a SU(3) format with non-trivial topological invariant. We nd that all three components must be coupled via a gauge eld, with opposite Bloch phase (in momentum space, if the NN hopping between two components is teik, then for the other two components, this should be te ik) between any two components, and there must be band inversion between all three components in a given eigenstate. For spinless particles, we show that such states can be obtained in a tripartite lattice with three inequivalent lattice sites, in which the Bloch phase associated with the nearest neighbor hopping acts as k-space gauge eld. The second criterion is the hopping amplitude t should have an opposite sign in the diagonal element for one of the two components, which can be introduced via a constant phase ei along the direction of hopping. The third and a more crucial criterion is that there must also be an odd-parity Zeeman-like term (as k ! k, the term changes sign), i.e. sin(k) z term, where z is the third Pauli matrix defined with any two components of the three component basis. In the presence of a constant vector potential, the kinetic energy of the electron gets modified when the vector potential causes a flux to be enclosed. This can generate the desired odd parity Zeeman term, via a site-selective polarization of the vector potential. This can be achieved in principle by suitable modifications of techniques used in Sisyphus cooling, and with a suitable arrangement of polarizer plates, etc. The topological phase is a firmed by edge state calculation, obeying the bulk-boundary correspondence.

Ce mémoire décrit la conception, la construction et la caractérisation d'un appareil capable de piéger et refroidir des atomes fermioniques de 6Li et 40K à des températures ultrabasses. L'étude des mélanges des gazes de Fermi dégénérés ouvre la porte vers la création des nouveaux systèmes quantiques à N corps. Nous présentons une nouvelle technique de refroidissement laser capable de refroidir simultanément 6Li et 40K à des températures sub-doppler basée sur un schéma de molasses grises fonctionnant sur la transition atomique D1. Cette stratégie améliore la densité dans le espace des phases des deux espèces atomiques à 104, la valeur la plus élevée rapportée dans la littérature pour le refroidissement laser du 6Li et du40K. L'optimisation d'un dispositif capable de transporter un nuage atomique piégé magnétiquement de l'enceinte MOT à une cellule de science est décrite. Dans cette cellule on effectue du refroidissement évaporatif d'abord dans un piège magnétique quadripolaire dont le zéro du champ est interdit par un potentiel répulsif et après dans un piège optique dipolaire. Nous rapportons la production d'un gaz quantique de Fermi dégénéré de 1.1x106 atomes de 40K dans un piège dipolaire croisé avec T/TF = 0.27,ouvrant la voie à la création des superfluides de 40K en interactions fortes. / This thesis describes the design, construction and characterization of an apparat us capable of trapping and cooling fermionic atoms of 6Li and 40K to ultracold temperatures.The study of mixtures of degenerate Fermi gases opens the door for the creation of new many-body quantum systems.We present a novel laser cooling technique able to simultaneously cool 6Li and 40K to the sub-Doppler regime based on the gray molasses scheme operating on the D1 atomic transition. This strategy enhances the phase space density of both atomic species to 104, the highest value reported in the literature for laser cooled 6Li and 40K. The optimization of a device able to transport a magnetically trapped atomic cloud from the MOT chamber to a science cell is described. In this cell evaporative cooling is performed first in a plugged magnetic quadrupole trap and then in an optical dipoletrap. We report the production of a quantum degenerate Fermi gas of 1.1x106 atoms40K in a crossed dipole trap with T/TF = 0.27, paving the way for the creation of strongly interacting superfluids of 40K.

Comme introduction, nous présentons la formulation originale de la correspondance AdS/CFT, entre la théorie de Yang-Mills supersymétrique N = 4 avec groupe de jauge SU(N) et la théorie des supercordes de type IIB sur l'espace AdS5 x S5. Dans une première partie, nous montrons comment les ingrédients de la correspondance AdS/CFT peuvent être appliqués de manière phénoménologique à l'étude des systèmes de fermions fortement corrélés et présentons deux modèles fondamentaux, l'étoile à électrons et le supraconducteur holographique. Nous construisons un modèle holographique pour l'étude des systèmes de Bose-Fermi à densité finie et montrons que la présence simultanée de degrés de liberté bosoniques et fermioniques est favorisée à température nulle. En résolvant l'équation du mouvement d'un spineur test sur ces solutions, nous montrons que le système admet un grand nombre de surfaces de Fermi de type électron et/ou trou et un condensat scalaire chargé. Dans une seconde partie, nous nous intéressons à l'étude des solutions de trous noirs BPS asymptotiquement AdS4 dans la théorie de supergravité jaugée N = 2 en 4 dimensions. En utilisant les transformations de dualité dans un modèle STU simple, nous trouvons de nouvelles solutions de trous noirs BPS statiques et en rotation. / As an introduction, we present the original formulation of the AdS/CFT correspondence, between N = 4 Super Yang-Mills theory with gauge group SU(N) and type IIB string theory on AdS5 x S5. In a first part, we show how the ingredients of the AdS/CFT correspondence can be applied in a phenomenological way to study strongly correlated systems of fermions and present two fundamental models, the electron star and the holographic superconductor. We construct a holographic model for the study of Bose-Fermi systems at finite density and show that the simultaneous presence of bosonic and fermionic degrees of freedom is favoured at zero temperature. By solving the field equation of a probe spinor field in these solutions, we show that the system admits a large number of electron-like and/or hole-like Fermi surfaces and a charged scalar condensate. In a second part, we study asymptotically-AdS4 BPS black hole solutions in the N = 2 gauged supergravity theory. Using the duality transformations in a simple STU model, we find new static and rotating BPS black hole solutions.

Second-order phase transitions involve critical fluctuations just below and above the transition temperature. Macroscopically, they manifest in the power-law behaviour of many physical properties such as the susceptibility and the specific heat. The power-laws are predicted to be universal, i.e. the same exponents are expected for a certain class of transitions irrespective of the microscopic details of the system. The underlying commonality of such transitions is the divergence of the correlation length ξ and the correlation time ξ_τ of the critical fluctuations at the transition temperature. Both ξ and ξ_τ can be directly observed by neutron scattering experiments, making them an ideal tool for the study of critical phenomena. At classical phase transitions, the critical fluctuations will be thermal in nature. However, if a second-order transition occurs at T = 0, thermal fluctuations are frozen, and the transition is driven by quantum fluctuations instead. This is called a quantum critical point. The quantum nature of the fluctuations influences observable properties, also at finite temperatures, and causes unusual behaviour in the vicinity of the quantum critical point or the existence of exotic phases, e.g. unconventional superconductivity. Heavy-fermion compounds are a class of materials that is well suited for the study of quantum criticality. They frequently show second-order transitions into a magnetically ordered state at very low temperatures, which can easily be tuned to T = 0 by the application of pressure, magnetic fields or element substitution. In this thesis, fluctuations near a quantum critical point are investigated for three heavy-fermion systems. CeCu2Si2 shows unconventional superconductivity close to an antiferromagnetic quantum critical point. Results from single-crystal neutron spectroscopy and thermodynamic measurements are discussed and some details are also given about the synthesis of large single crystals. The focus of the study is the comparison of the inelastic response of magnetic and superconducting samples, which are found to be very similar for ΔE > 0.2 meV. CePdAl has an antiferromagnetic state with partial magnetic frustration. The ordering temperature can be suppressed by Ni substitution towards a quantum critical point. Single-crystal neutron diffraction experiments of three members of the substitution series were analysed. They revealed several unusual effects of the frustrated state in the pure sample, and show that magnetic order and frustration persist in the substituted samples. YbNi4P2 is a rare example of a compound with ferromagnetic quantum criticality, which has only been studied in the last few years. The aim of the powder neutron spectroscopy experiments presented here was to obtain an overview of the relevant energy scales, i.e. the crystal electric field, local magnetic fluctuations and ferromagnetic fluctuations. Simulations using the program McPhase were performed for a thorough understanding of the crystal electric field.

Models of quantum walks which admit continuous time and continuous spacetime limits have recently led to quantum simulation schemes for simulating fermions in relativistic and non relativistic regimes (Di Molfetta and Arrighi, 2020). This work continues the study of relationships between discrete time quantum walks (DTQW) and their ostensive continuum counterparts by developing a more general framework than was done in (Di Molfetta and Arrighi, 2020) to evaluate the continuous time limit of these discrete quantum systems. Under this framework, we prove two constructive theorems concerning which internal discrete transitions ("coins") admit nontrivial continuum limits in 1D+1. We additionally prove that the continuous space limit of the continuous time limit of the DTQW can only yield massless states which obey the Dirac equation. We also demonstrate that for general coins the continuous time limit of the DTQW can be identified with the canonical continuous time quantum walk (CTQW) when the coin is allowed to transition through the continuum limit process. Finally, we introduce the Plastic Quantum Walk, or a quantum walk which admits both continuous time and continuous spacetime limits and, as a novel result, we use our 1D+1 results to obtain necessary and sufficient conditions concerning which DTQWs admit plasticity in 2D+1, showing the resulting Hamiltonians. We consider coin operators as general 4 parameter unitary matrices, with parameters which are functions of the lattice step size 𝜖. This dependence on 𝜖 encapsulates all functions of 𝜖 for which a Taylor series expansion in 𝜖 is well defined, making our results very general.