Estudamos nesta dissertação o conteúdo de operadores da cadeia quântica do modelo XY anisotrópico com interações de três spins (XY triplete anisotrópico). Verificamos que, como no caso de interações de dois spins, este modelo pode ser visto como uma superposição de duas cadeias quânticas Ising, que neste caso apresentam interações de três spins (Ising triplete). Como conseqüência, todo o conteúdo de operadores do modelo XY triplete é obtido através de um estudo sistemático do conteúdo de operadores do Ising triplete o que é feito numericamente explorando-se as relações entre as lacunas de massa e as dimensões anômalas dos operadores do modelo, previstas pela invariância conforme. / We study in this work the operator content of the staggered XY model quantum chain with three-spin interactions (staggered XY triplet). We verified that, as quantum Ising chains, but in this case with three-spin interactions (Ising triplet). It is possible therefore to obtain all the operator content of the XY triplet model by a systematic numerical analysis of the Ising triplet´s operator content, which follows by exploiting the relations between the mass gap amplitudes and the anomalous dimension of the operators of the model, predicted by conformal invariance.

Estudamos nesta dissertação o conteúdo de operadores da cadeia quântica do modelo XY anisotrópico com interações de três spins (XY triplete anisotrópico). Verificamos que, como no caso de interações de dois spins, este modelo pode ser visto como uma superposição de duas cadeias quânticas Ising, que neste caso apresentam interações de três spins (Ising triplete). Como conseqüência, todo o conteúdo de operadores do modelo XY triplete é obtido através de um estudo sistemático do conteúdo de operadores do Ising triplete o que é feito numericamente explorando-se as relações entre as lacunas de massa e as dimensões anômalas dos operadores do modelo, previstas pela invariância conforme. / We study in this work the operator content of the staggered XY model quantum chain with three-spin interactions (staggered XY triplet). We verified that, as quantum Ising chains, but in this case with three-spin interactions (Ising triplet). It is possible therefore to obtain all the operator content of the XY triplet model by a systematic numerical analysis of the Ising triplet´s operator content, which follows by exploiting the relations between the mass gap amplitudes and the anomalous dimension of the operators of the model, predicted by conformal invariance.

Dans le domaine du stockage de l'information, la miniaturisation de l'unité magnétique portant l'information est un enjeu capital. Ainsi, la découverte de molécules possédant des propriétés de relaxation lente de leur aimantation, comparables à celles des aimants classiques, constitue une avancée majeure suscitant l'espoir de pouvoir un jour stocker l'information à l'échelle moléculaire.Cette thèse a pour but d'étudier les propriétés magnétiques des chaînes aimants. Ces chaînes sont constituées d'unités magnétiques liées par des interactions magnétiques au sein d'un réseau unidimensionnel. Au delà de leurs potentielles applications, les chaînes aimants sont parfaitement adaptées à l'étude fondamentale des chaînes de spins. Le premier chapitre de ce manuscrit constitue un rappel des propriétés statiques et dynamiques des chaînes aimants connues à ce jour. Le deuxième chapitre décrit les propriétés statiques des parois séparant les différents domaines d'aimantation dans des chaînes de spins de topologies magnétiques variées. Le troisième chapitre de ce manuscrit décrit les propriétés dynamiques des chaînes de spins d'Ising. Bien que seul le modèle de Glauber soit utilisé dans la littérature associée aux chaînes aimants, il existe une infinité de modèles dynamiques d'Ising.Grâce à l'étude détaillée de trois modèles, il est montré dans ce chapitre que l'application d'un champ magnétique permet de révéler différentes dynamiques de relaxation de l'aimantation pour chacun des modèles considérés. Ces résultats permettent enfin de proposer deux protocoles expérimentaux à même de déterminer le modèle dynamique le plus adapté à l'étude des chaînes aimants. / The size reduction of magnetic units able to store information is an important issue for the design of high-density data storage devices. The discovery of molecules that show slow relaxation of their magnetization, similar to classical magnets, is a great breakthrough in terms of molecular scale information storage. The work presented in this thesis is devoted to the study of the magnetic properties of Single Chain Magnets. Single Chain Magnets can be viewed as a one-dimensional assembly of anisotropic magnetic units linked by magnetic interactions. Beyond their potential applications, Single Chain Magnets are interesting prototypes for the fundamental study of spin chains. The first chapter of this manuscript summarizes some known static and dynamic properties of Single Chain Magnets. Chapter II is devoted to the static properties of domain walls, which link the magnetic domains in spin chains, considering various magnetic topologies. Chapter III is dedicated to the dynamic properties of Ising spin chains. In the Single Chain Magnet literature, the Glauber model is used to describe the dynamic properties of such spin chains. However, there exists an infinite number of dynamic Ising models. In this chapter, three dynamic models are studied in detail. We show that the presence of a magnetic field allows us to discern different magnetization relaxation behaviors associated with each dynamic model. These results allow us to establish two experimental protocols in order to determine the most suitable dynamic model to describe the properties of Single Chain Magnets.