A simplified model of a double quantum dot is presented and analyzed, with applications to spin-qubit quantum computation. The ability to trap single electrons in semiconductor nanostructures has led to the proposal of quantum computers with spin-based qubits coupled by the exchange interaction. Current theory predicts an exchange interaction with a -1 power-law dependence on the detuning ϵ, the energy offset between the two dots. However, experiment has shown a -3/2 power-law dependence on ϵ. Using WKB analysis, this thesis explores one possible source of the modified dependence, namely an ϵ-dependent tunnel coupling between the two wells. WKB quantization is used to find expressions for the tunnel coupling of a one-dimensional double-well, and these results are compared to the exact, numerical solutions, as determined by the finite difference method and the transfer matrix method. Small ϵ-dependent corrections to the tunnel coupling are observed. In typical cases, WKB correctly predicts a constant tunnel coupling at leading-order. WKB also predicts small ϵ-dependent corrections for typical cases and strongly ϵ-dependent tunnel couplings for certain exceptional cases. However, numerical simulations suggest that WKB is not accurate enough to analyze the small corrections, and is not valid in the exceptional cases. Deviations from the conventional form of the low-energy Hamiltonian for a double-well are also observed and discussed.

SENA FILHO, Roberto Ferreira. Teoria microscópica de ondas de spin em nanofios magnéticos. 2007. 74 f. Dissertação (Mestrado em Física) - Programa de Pós-Graduação em Física, Departamento de Física, Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2007. / Submitted by Edvander Pires (edvanderpires@gmail.com) on 2015-05-22T19:45:31Z No. of bitstreams: 1 2007_dis_rfsenafilho.pdf: 3612063 bytes, checksum: 5cbe75be9b4bf3c77cd9b1136fad2a2a (MD5) / Approved for entry into archive by Edvander Pires(edvanderpires@gmail.com) on 2015-05-22T19:46:04Z (GMT) No. of bitstreams: 1 2007_dis_rfsenafilho.pdf: 3612063 bytes, checksum: 5cbe75be9b4bf3c77cd9b1136fad2a2a (MD5) / Made available in DSpace on 2015-05-22T19:46:04Z (GMT). No. of bitstreams: 1 2007_dis_rfsenafilho.pdf: 3612063 bytes, checksum: 5cbe75be9b4bf3c77cd9b1136fad2a2a (MD5) Previous issue date: 2007 / The dynamical behavior of spins in magnetic materials is affected by its geometry and dimensionality. One can find several new results in the literature exploiting the magnetic properties of low dimension systems with different geometries, since the development of new devices such as: nanosensors, high density magnetic storage, etc., is closely related to new geometries. In this piece of work, we study the propagation of spin waves on cylindrical magnetic nanowires described by a microscopic theory through the Heisenberg Hamiltonian, where we consider the spins fixed at the sites lattice and the transversal section of the wire is hexagonal. Our model takes into account the exchange interaction between the spins that can be ferromagnetic or antifferomagnetic, the interaction of an external field with the spins (Zeeman interaction), anisotropic interactions due to a preferred direction of magnetization, and finally dipole-dipole interactions. The spins are described by boson operators through Holstein-Primakoff representation. The equations of motion for the spins are written in terms of these operators and translational symmetry in a preferential direction allows us to calculate several excitations spectra. / O comportamento dinâmico de spins em materiais magnéticos é influenciado pela geometria que eles apresentam. Além disso, outro aspecto relevante é a dimensionalidade do sistema. Trabalhos recentes comprovam o interesse do estudo das propriedades magnéticas em sistemas de baixa dimensionalidade, que é devido em grande parte as aplicações tecnológicas, tais como: nanosensores, gravadores magnéticos de alta densidade, dispositivos magneto-eletrônicos, etc. Neste trabalho estudamos a propagação de ondas de spin em nanofios magnéticos cilíndricos, onde a abordagem é feita utilizando teoria microscópica, através do Hamiltoniano de Heisenberg, em que os spins são considerados fixos nos sítios da rede e cuja geometria da seção transversal dos cilindros é hexagonal. Entre as interações magnéticas estudadas consideramos: a interação de troca que pode ser ferromagnética se os primeiros vizinhos dos spins estão numa configuração paralela, ou antiferromagnética se estiverem antiparelelos; a interação Zeeman que é devido ao campo magnético externo aplicado ao sistema; a interação de Anisotropia, esta sendo responsável pela direção de magnetização preferida que diversos sistemas magnéticos reais apresentam e a interação dipolar de natureza magnetostática, presente em todos os materiais. O formalismo leva em consideração a dependência espacial dos spins no sistema, onde os operadores de spin do hamiltoniano são escritos em termos de operadores bosônicos de criação e aniquilação através da Representação de Holstein-Primakoff. Em seguida, aproveitando-se da simetria translacional em uma direção devido a periodicidade da rede, realizamos a transformada de Fourier para estes operadores fornecendo um sistema de equações matriciais no espaço dos vetores de onda. A partir desse sistema de equações obtemos vários espectros de excitação como: a relação de dispersão para as ondas de spin, que é o gráfico onde mostra como a frequência de ondas de spin varia em função do vetor de onda e a variação da energia do sistema com o campo aplicado.

Ce travail de thèse traite de la dynamique ultrarapide de spins et de charges dans des oxydes de fer. Dans un premier temps, on montre à l'aide d'un montage pompe-sonde résolu en temps et exploitant l'effet Faraday magnéto-optique, que le temps de désaimantation dans une assemblée de nanoparticules de maghémite est plus rapide que le temps de désaimantation dans une assemblée de nanoparticules de magnétite. Une superposition des temps de thermalisation des électrons et de désaimantation est observée dans la maghémite. Cette accélération du temps de désaimantation est interprétée comme étant la conséquence d'un renforcement des interactions antiferromagnétiques dans la maghémite. La seconde partie prouve qu'il est possible de caractériser la transition de Verwey dans un film de magnétite grâce à des signaux de dynamique de charges et de spins. La dynamique ultrarapide d'aimantation se caractérise par un mouvement de précession dépendant de la température. D'importantes modifications des oscillations sont visibles de part et d'autre de la température de Verwey, reflétant un changement d'anisotropie caractéristique de cette transition. / This work deals with spins and charges ultrafast dynamics in iron oxide. Thanks to a time-resolved magneto-optical Faraday effect measurements, we show the demagnetization time in an assembly of maghemite nanoparticles is faster than the demagnetization time in an assembly of magnetite nanoparticles. A superposition of thermalization times of electron and demagnetization times is observed in maghemite. This acceleration of the demagnetization time is interpreted as the effect of an enhancement of antiferromagnetic interactions in maghemite. The second part demonstrates the possibility to characterize the Verwey transition in a thin film of magnetite thanks to charges and spins dynamics signals. The ultrafast magnetization dynamic shows a temperature-dependent precession motion. Huge modifications of oscillations are visible on both side of Verwey temperature, reflecting an anisotropy change typical of this transition.

Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico / O comportamento dinÃmico de spins em materiais magnÃticos à influenciado pela geometria que eles apresentam. AlÃm disso, outro aspecto relevante à a dimensionalidade do sistema. Trabalhos recentes comprovam o interesse do estudo das propriedades magnÃticas em sistemas de baixa dimensionalidade, que à devido em grande parte as aplicaÃÃes tecnolÃgicas, tais como: nanosensores, gravadores magnÃticos de alta densidade, dispositivos magneto-eletrÃnicos, etc. Neste trabalho estudamos a propagaÃÃo de ondas de spin em nanofios magnÃticos cilÃndricos, onde a abordagem à feita utilizando teoria microscÃpica, atravÃs do Hamiltoniano de Heisenberg, em que os spins sÃo considerados fixos nos sÃtios da rede e cuja geometria da seÃÃo transversal dos cilindros à hexagonal. Entre as interaÃÃes magnÃticas estudadas consideramos: a interaÃÃo de troca que pode ser ferromagnÃtica se os primeiros vizinhos dos spins estÃo numa configuraÃÃo paralela, ou antiferromagnÃtica se estiverem antiparelelos; a interaÃÃo Zeeman que à devido ao campo magnÃtico externo aplicado ao sistema; a interaÃÃo de Anisotropia, esta sendo responsÃvel pela direÃÃo de magnetizaÃÃo preferida que diversos sistemas magnÃticos reais apresentam e a interaÃÃo dipolar de natureza magnetostÃtica, presente em todos os materiais. O formalismo leva em consideraÃÃo a dependÃncia espacial dos spins no sistema, onde os operadores de spin do hamiltoniano sÃo escritos em termos de operadores bosÃnicos de criaÃÃo e aniquilaÃÃo atravÃs da RepresentaÃÃo de Holstein-Primakoff. Em seguida, aproveitando-se da simetria translacional em uma direÃÃo devido a periodicidade da rede, realizamos a transformada de Fourier para estes operadores fornecendo um sistema de equaÃÃes matriciais no espaÃo dos vetores de onda. A partir desse sistema de equaÃÃes obtemos vÃrios espectros de excitaÃÃo como: a relaÃÃo de dispersÃo para as ondas de spin, que à o grÃfico onde mostra como a frequÃncia de ondas de spin varia em funÃÃo do vetor de onda e a variaÃÃo da energia do sistema com o campo aplicado. / The dynamical behavior of spins in magnetic materials is affected by its geometry and dimensionality. One can find several new results in the literature exploiting the magnetic properties of low dimension systems with different geometries, since the development of new devices such as: nanosensors, high density magnetic storage, etc., is closely related to new geometries. In this piece of work, we study the propagation of spin waves on cylindrical magnetic nanowires described by a microscopic theory through the Heisenberg Hamiltonian, where we consider the spins fixed at the sites lattice and the transversal section of the wire is hexagonal. Our model takes into account the exchange interaction between the spins that can be ferromagnetic or antifferomagnetic, the interaction of an external field with the spins (Zeeman interaction), anisotropic interactions due to a preferred direction of magnetization, and finally dipole-dipole interactions. The spins are described by boson operators through Holstein-Primakoff representation. The equations of motion for the spins are written in terms of these operators and translational symmetry in a preferential direction allows us to calculate several excitations spectra.

Dans cette thèse, nous avons étudié la dynamique d'aimantation selon deux échelles de temps en utilisant la technique pompe-sonde magnéto-optique résolue en temps. A l'échelle de la picoseconde, la précession de l'aimantation est induite par des impulsions acoustiques dans des structures multicouches composées de deux couches ferromagnétique séparées par une couche métallique (Ni/Au/Py) avec différentes épaisseurs. La synchronisation de la précession des couches ferromagnétiques couplées a été observée. La modification de la précession de l'aimantation d'une couche de Ni est due l'interaction d'échange intercouche avec la couche Py. A l'échelle de 50fs, nous avons étudié la dynamique magnéto-optique cohérente, athermale, thermale et la relaxation des charges et des spins dans (Ni, Co et Fe) par impulsions de 11 fs dans un régime de faible perturbation. L'interaction spin-orbite et l'interaction d'échange jouent un rôle significatif dans la désaimantation ultrarapide. / In this thesis, we have investigated the magnetization dynamics at picosecond and femtosecond time scale using time resolved magneto-optical pump probe technique. At picosecond time scale, the magnetization precession is induced by ultrafast acoustic pulses in a three layered structure with two ferromagnetic layers separated by varying thickness of metallic spacer layer (Ni/Au/Py). The magnetization precession dynamics of the Ni layer is modified due to the interlayer exchange interaction with the Py layer and the synchronized precession of the coupied ferromagnetic layers has been observed. At the timescale of 50fs, coherent magneto-optical, non-thermal, thermal and relaxation dynamics of charges and spins in ferromagnetic transition metals (Ni, Co and Fe) is studied by using 11fs optical pulses in a very low perturbation regime. The spin orbit interaction and exchange interaction play a significant role in the demagnetization of the ferromagnetic metals induced by femtosecond pulses.

La Théorie de la Fonctionnelle de la Densité (DFT) combinée avec le formalisme de la Symétrie Brisée (BS) est aujourd'hui très utilisée dans le domaine du magnétisme moléculaire pour le calcul des constantes d'échange magnétique. Dans le but d'améliorer la compréhension des contributions qui participe à l'interaction d'échange caractérisant les systèmes magnétiques, nous avons mené une étude théorique systématique basée sur l'étude de deux types de modèles. Ces complexes binucléaires de cuivre(II) reliés par divers groupements pontant de type hydroxo, azoture, et chloro, ainsi que des bis-nitroxydes modèles constitués de deux groupements nitroxydes reliés par un système conjugué sont caractérisés par des couplages ferro- et anti-ferromagnétiques variés. Nous avons développé une approche théorique basée sur l'utilisation d'orbitales gelées permettant d'étudier la décomposition de l'interaction d'échange magnétique en différentes contributions telles que l'échange direct, l'échange cinétique et le mécanisme de polarisation de spin. Dans un second temps, nous avons étendu ce travail de rationalisation aux effets de solvant à l'aide de modèles implicites ou explicites. Grâce à une analyse basée sur l'approche de Hoffmann, nous avons pu déterminer les paramètres caractérisant dans les mécanismes d'échange direct et d'échange cinétique. / Density Functional Theory (DFT) combined with the Broken Symmetry (BS) method is today widely used in the field of molecular magnetism for the computation of magnetic exchange coupling constants. In order to improve the understanding of the contributions involved in the exchange phenomena characterizing some magnetic systems, we propose a study based on two types of models. Copper(II) binuclear complexes connected with various bridging groups like hydroxo, azide, and chlorine, as well as small bis-nitroxide composed of two nitroxide moieties linked by a conjugated system show various ferro- and anti-ferromagnetic couplings. We have developed a theoretical approach based on the use of frozen orbitals to decompose the magnetic exchange interaction in different contributions such as the direct exchange, the kinetic exchange and mechanism of spin polarization. In a second part, we have extended this work to rationalize the solvent effects using implicit or explicit models. Through an analysis based on the Hoffmann's approach, we have determined some parameters characterizing the mechanisms of direct exchange and kinetic exchange.

Nesta tese, analisamos dois sistemas de semicondutores magnéticos: um semicondutor magnético cristalino de EuTe e uma heteroestrutura formada por um poço quântico de GaAs/AlGaAs ao lado uma barreira tipo delta de Mn, que, ao difundir-se, forma o semicondutor magnético diluído de (Ga,Mn)As. Nossos estudos foram focados na possibilidade de manipularmos oticamente a orientação magnética de ambos os sistemas. No semicondutor magnético de EuTe, a indução de magnetização se dá pela formação de polarons magnéticos ao redor de elétrons fotoexcitados. Para o estudo dos polarons, um modelo teórico elaborado foi adaptado para a construção de um sistema computacional baseado no método de Monte Carlo. Essa sistema permitiu o cálculo do momento magnético e do raio do polaron em temperaturas finitas, muito acima da temperatura de Néel. O modelo foi elaborado para reproduzir tanto as propriedades do EuTe sem o polaron (temperatura de Néel e campo crítico), quanto o deslocamento da linha de fotoluminescência devido a formação do polaron. Além do desenvolvimento do próprio método computacional, que pode ser utilizado para estudar outros sistemas, o conhecimento adquirido com o estudo do EuTe serviu como base para o estudo de um sistema mais complexo, que é a heteroestrutura de GaAs/AlGaAs + dMn. O estudo da heteroestrutura de GaAs/AlGaAs + dMn foi feito em cima de medidas experimentais de rotação de Kerr com resolução temporal. O sistema de medição construído permite, também, medidas de rotação de Kerr com resolução espacial, que servem para o estudo de transporte e hélice de spin em semicondutores, e está detalhadamente descrito em um dos capítulo desta tese. Na amostra estudada, o controle da magnetização dos íons de Mn é feito através da interação de troca com o elétron fotoexcitado no poço quântico. Os resultados obtidos das medidas de rotação de Kerr mostram uma frequência de precessão dependente do tempo, que revela a existência de dois processos com dinâmicas diferentes: uma primeira orientação do spin dos íons de Mn devido à polarização do par elétron-buraco no poço quântico, seguida por um realinhamento desses spins com o campo magnético externo, a partir do momento em que a coerência dos spins dos buracos desaparece. Esse resultado sugere que a interação entre os elétrons fotoexcitados e os íons de Mn ocorre por intermédio dos buracos fotoexcitados, ao contrário do que havia sido proposto em estudos anteriores de estruturas similares, mas de acordo com o modelo de interação sp-d, utilizado para explicar o ferromagnetismo do (Ga,Mn)As. / In this thesis we analyzed two magnetic semiconductor systems: one intrinsic magnetic semiconductor crystal of EuTe and one GaAs-based heterostructure with a GaAs/AlGaAs quantum well close to delta-type Mn barrier, that forms a diluted magnetic semiconductor of (Ga,Mn)As after diffusion. Our studies on both systems were focused on the possibility of optical manipulation of magnetic order. In EuTe pure semiconductor, the magnetization control occurs due to de formation od magnetic polarons around photo-excited electrons. To study magnetic polarons we adapted a theoretical model to build a computer simulation system based on Monte Carlo\'s method. This system allowed us to calculate the magnetic moment and radius of the polaron at finite temperatures fair above Néel Temperature. The computational model was tested to reproduce EuTe properties without polarons (Néel Temperature and critical magnetic field) and with polarons (photoluminescence line shift). Beside the development of this computational model, that can be used to study other systems, the knowledge acquired during the studies on EuTe helped us to better understand the more complex system of the GaAs/AlGaAs +dMn heterostructure. The studies about the GaAs/AlGaAs + dMn heterostructure were based on experimental measurements of time-resolved Kerr rotation. The measurement system we built also allows us to perform spatial-resolved Kerr rotation measurements to study spin transport and spin helix on semiconductors and it is described in details in one chapter of this thesis. The optical manipulation of Mn ions magnetization on the studied sample is consequence of the exchange interaction with the photoexcited electron inside the quantum well. The results of Kerr rotation measurements show a time-dependent precession frequency that reveals the existence of two process with distinct dynamics: the initial orientation of Mn ions spins with the photoexcited electron-hole pair, followed by the realignment of these spins with the external magnetic field, as soon as the photoexcited hole spins loose its coherence. These results indicate that the exchange interaction between the photoexcited electron inside the quantum well and the Mn ions is mediated by the photoexcited holes, in opposition of what was being proposed in previous studies of similar structures, but in agreement with the sp-d model, used to explain the (Ga,Mn)As ferromagnetism.

The hole-doped perovskite manganese oxide such as Ln1-xAxMnO3 (Ln = La, Nd, Pr, and A = Ca, Sr, Ba, Pb) is one of the most studied topics in the recent years due to the observation of colossal magnetoresistance (CMR). Basically, LaMnO3 has an almost insulating behavior and on antiferromagnetic arrangement. By substituting a divalent cation (A2+) in place of La3+, LaMnO3 can be driven into metallic and ferromagnetic state. Mixed valence of Mn 3+ / Mn4+ is needed for both metallic behavior and ferromagnetism in these materials. The CMR characteristic occurs in the ferromagnetic state. A systematic investigation of the structural, magnetic and electrical properties in the perovskite colossal magnetoresistance materials La0.7-xLnxPb0.3Mn1-yMeyO3 (Ln=Pr, Nd and Y, Me=Fe and Co) has presented in this thesis. By subatituting Nd, Pr, Y for the La and Co, Fe for the Mn, the substitution effects on the crystallographic deformation, magnetotransport behavior and electrical properties in these compounds have been studied. According to the results of this research, crystallographic distortion is induced by the substitution of smaller ions, Pr or Nd, onto the La-site. Powder $x$-ray diffraction patterns show a crystallographic transition from rhombohedral symmetry (R-3c) to orthorhombic (Pbnm) crystal structure as the doping content is increased. The increase of deformation from R-3c to Pbnm decreases the bond angle of Mn3+¡ÐO2-¡ÐMn4+ , increases the cant of Mn spin, weakens the double-exchange interaction and results in decrease of ferromagnetism, low ferromagnetic transition temperature Tc, eg electron bandwidth and conductivity. However, the great quantity of decrease in resistivity by an external field leads to the increase in the magnetoresistance ratio. We also find that the increase of saturation magnetization results from the contribution of magnetic ion of Pr or Nd. In addition. in contrast to substitution La by magnetic ion of Pr and Nd, the saturation magnetization is decreased as Y content is increased. The zero-field-cool (ZFC) and field-cool (FC) magnetic measurements indicate that the range of spin ordering for Y one is shorter than Pr one or Nd one with the same doping content. It is because of the small ionic radius of Y, which results in larger distortion, increases the bond angle of Mn3+¡ÐO2-¡ÐMn4+, and corresponds low ferromagnetic transition temperature. The distortion induced by Mn-site substitution is not obvious due to the similar radius of Mn, Co and Fe. Powder x-ray diffraction patterns show a single phase of rhombohedral symmetry (R-3c) for Co doped ststem and a slight crystallographic transition from rhombohedral (R-3c) to orthorhombic (Pbnm) symmetry for Fe doped system. Values of temperature dependence of magnetization indicate that the ferromagnetic double-exchange interaction is gradually substituted by the superexchange interaction. The ZFC-FC curves also indicate that long-range spin ordering is progressively substituted by the short-range spin ordering. The substitution of Mn by Co and Fe supresses the double-exchange interaction, decreases the ferromagnetism and the ferromagnetic transition temperature. Due to the synthesis of the substitution of Nd, Pr, Y for La and Co, Fe for Mn, the mechanism of substitution effects are proved different. The substitution of Nd, Pr and Y for La distorts the crystal, decreases the Mn3+¡ÐO2-¡ÐMn4+ bond angle, and results in the transition of properties, while the substitution of Co and Fe for Mn decrease the percentage of ferromagnetic Mn3+¡ÐO2-¡ÐMn4+. The purpose of this thesis is to clear up the role functions of all elements in these compounds and properties of these compounds. Based on the knowledge of these compounds, it would be helpful to control the physical mechanism and improve the characteristics on preparing their thin film devices.

Nesta tese, analisamos dois sistemas de semicondutores magnéticos: um semicondutor magnético cristalino de EuTe e uma heteroestrutura formada por um poço quântico de GaAs/AlGaAs ao lado uma barreira tipo delta de Mn, que, ao difundir-se, forma o semicondutor magnético diluído de (Ga,Mn)As. Nossos estudos foram focados na possibilidade de manipularmos oticamente a orientação magnética de ambos os sistemas. No semicondutor magnético de EuTe, a indução de magnetização se dá pela formação de polarons magnéticos ao redor de elétrons fotoexcitados. Para o estudo dos polarons, um modelo teórico elaborado foi adaptado para a construção de um sistema computacional baseado no método de Monte Carlo. Essa sistema permitiu o cálculo do momento magnético e do raio do polaron em temperaturas finitas, muito acima da temperatura de Néel. O modelo foi elaborado para reproduzir tanto as propriedades do EuTe sem o polaron (temperatura de Néel e campo crítico), quanto o deslocamento da linha de fotoluminescência devido a formação do polaron. Além do desenvolvimento do próprio método computacional, que pode ser utilizado para estudar outros sistemas, o conhecimento adquirido com o estudo do EuTe serviu como base para o estudo de um sistema mais complexo, que é a heteroestrutura de GaAs/AlGaAs + dMn. O estudo da heteroestrutura de GaAs/AlGaAs + dMn foi feito em cima de medidas experimentais de rotação de Kerr com resolução temporal. O sistema de medição construído permite, também, medidas de rotação de Kerr com resolução espacial, que servem para o estudo de transporte e hélice de spin em semicondutores, e está detalhadamente descrito em um dos capítulo desta tese. Na amostra estudada, o controle da magnetização dos íons de Mn é feito através da interação de troca com o elétron fotoexcitado no poço quântico. Os resultados obtidos das medidas de rotação de Kerr mostram uma frequência de precessão dependente do tempo, que revela a existência de dois processos com dinâmicas diferentes: uma primeira orientação do spin dos íons de Mn devido à polarização do par elétron-buraco no poço quântico, seguida por um realinhamento desses spins com o campo magnético externo, a partir do momento em que a coerência dos spins dos buracos desaparece. Esse resultado sugere que a interação entre os elétrons fotoexcitados e os íons de Mn ocorre por intermédio dos buracos fotoexcitados, ao contrário do que havia sido proposto em estudos anteriores de estruturas similares, mas de acordo com o modelo de interação sp-d, utilizado para explicar o ferromagnetismo do (Ga,Mn)As. / In this thesis we analyzed two magnetic semiconductor systems: one intrinsic magnetic semiconductor crystal of EuTe and one GaAs-based heterostructure with a GaAs/AlGaAs quantum well close to delta-type Mn barrier, that forms a diluted magnetic semiconductor of (Ga,Mn)As after diffusion. Our studies on both systems were focused on the possibility of optical manipulation of magnetic order. In EuTe pure semiconductor, the magnetization control occurs due to de formation od magnetic polarons around photo-excited electrons. To study magnetic polarons we adapted a theoretical model to build a computer simulation system based on Monte Carlo\'s method. This system allowed us to calculate the magnetic moment and radius of the polaron at finite temperatures fair above Néel Temperature. The computational model was tested to reproduce EuTe properties without polarons (Néel Temperature and critical magnetic field) and with polarons (photoluminescence line shift). Beside the development of this computational model, that can be used to study other systems, the knowledge acquired during the studies on EuTe helped us to better understand the more complex system of the GaAs/AlGaAs +dMn heterostructure. The studies about the GaAs/AlGaAs + dMn heterostructure were based on experimental measurements of time-resolved Kerr rotation. The measurement system we built also allows us to perform spatial-resolved Kerr rotation measurements to study spin transport and spin helix on semiconductors and it is described in details in one chapter of this thesis. The optical manipulation of Mn ions magnetization on the studied sample is consequence of the exchange interaction with the photoexcited electron inside the quantum well. The results of Kerr rotation measurements show a time-dependent precession frequency that reveals the existence of two process with distinct dynamics: the initial orientation of Mn ions spins with the photoexcited electron-hole pair, followed by the realignment of these spins with the external magnetic field, as soon as the photoexcited hole spins loose its coherence. These results indicate that the exchange interaction between the photoexcited electron inside the quantum well and the Mn ions is mediated by the photoexcited holes, in opposition of what was being proposed in previous studies of similar structures, but in agreement with the sp-d model, used to explain the (Ga,Mn)As ferromagnetism.

Since the last few decades frustrated spin systems have attracted much interest. These studies are motivated by the rich variety of their unusual magnetic properties and potential applications. In this thesis, excitation spectra of the weakly coupled dimer system Ba3Cr2O8, the spin-1/2 chain material with distorted diamond structure Cu3(CO3)2(OH)2 (natural mineral azurite), and the quasi-twodimensional antiferromagnet with triangle spin structure Cs2CuBr4 have been studied by means of high-field electron spin resonance. Two pairs of gapped modes corresponding to transitions from a spin-singlet ground state to the first excited triplet state with zero-field energy gaps, of 19.1 and 27 K were observed in Ba3Cr2O8. The observation of ground-state excitations clearly indicates the presence of a non-secular term allowing these transitions. Our findings are of crucial importance for the interpretation of the field-induced transitions in this material (with critical fields Hc1 = 12.5 T and Hc2 = 23.6 T) in terms of the magnon Bose-Einstein condensation. The natural mineral azurite, Cu3(CO3)2(OH)2, has been studied in magnetic fields up to 50 T, revealing several modes not observed previously. Based on the obtained data, all three critical fields were identified. A substantial zero-field energy gap, Δ = 9.6 K, has been observed in Cs2CuBr4 above the ordering temperature. It is argued that contrary to the case for the isostructural Cs2CuCl4, the size of the gap can not be explained solely by the uniform Dzyaloshinskii-Moriya interaction, but it is rather the result of the geometrical frustration stabilizing the spin-disordered state in Cs2CuBr4 in the close vicinity of the quantum phase transition between a spiral magnetically ordered state and a 2D quantum spin liquid.