Neste trabalho investigamos pela primeira vez flutuações dependentes de spin em correntes eletrônicas polarizadas através de estruturas magnéticas. Nosso sistema físico consiste de uma heteroestrutura com tunelamento ressonante formada por um poço ou \"ponto\" quântico contendo Mn, confinado entre duas barreiras de potencial. Usamos um modelo semiclássico baseado em equações de taxa para calcular as ocupações dos estados ressonantes up e down. Estas equações são derivadas de uma equação mestra que descreve a probabilidade de ocupação dos estados de spin em um dado tempo. Funções correlação corrente-corrente são expressas em termos das funções correlação hop-hop (associadas à transições entre os níveis ressonantes up e down) e o shot noise dependente de spin é determinado em termos da matriz variância do sistema, também derivada da equação mestra. Quando consideramos um feixe polarizado e tempos distintos (&#964 &#8593 &#8595 &#8800 &#964 &#8595 &#8593), podemos obter ambas \"correlações positivas\" (&#8249 &#916 &#8593 &#916 &#8595 &#8250 &#8805 0) e/ou \"negativas\" (&#8249 &#916 &#8593 &#916 &#8595 &#8250 &#8804 0) no nosso modelo. A generalização e reinterpretação do modelo de ilhas nos possibilitou (i) investigar flutuações dependentes de spin em correntes polarizadas; (ii) observar aumento e atenuação do shot noise; (iii) verificar que processos de \"spin-flip\" com (&#964 &#8593 &#8595 &#8800 &#964 &#8595 &#8593) são relevantes na atenuação do shot noise e (iv) verificar que o ruído contém informações sobre o processo de \"spin-flip\" / In this work we investigate for the first time spin-dependent fluctuations in spin-polarized electronic currents through magnetic structures. Our physical model consists of a resonant-tunneling heterostructure formed by a Mn-based quantum well or \"point\", confined between a double-barrier potential. We used a semiclassical model based on rate equations to calculate the occupations of the spin-up and spindown resonant states. These equations are derived from a master equation describing the probability of occupation of the spin states at a given time. Current-current correlation functions are expressed in terms of hop-hop correlation functions (for hops between islands representing the up and down states) and the spin-dependent shoi noise is determined in terms of the variance matrix of the system; also derived from the master equation. When we consider a polarized beam and distinctive times (&#964 &#8593 &#8595 &#8800 &#964 &#8595 &#8593), we can obtain both \"positive correlations\" (&#8249 &#916 &#8593 &#916 &#8595 &#8250 &#8805 0) and \"negative correlations\" (&#8249 &#916 &#8593 &#916 &#8595 &#8250 &#8804 0) in our model. The generalization and reinterpretation of the island model allowed us (i) to investigate spin-dependent fluctuations in spinpolarized electronic currents; (ii) to observe enhancement and suppression of shot noise; (iii) to verify that spin-flip processes with (&#964 &#8593 &#8595 &#8800 &#964 &#8595 &#8593) are relevant to shotnoise suppression and (iv) to verify that noise contains information about spin-flip processes

This dissertation describes the theoretic studies of magnetic moment and spinorbit interaction in vacuum (Dirac wavepacket) and solid state systems, such as semiconductors. The semiclassical approach developed here provides a simple and intuitive picture for the origin of spin and spin-orbit coupling. In the Dirac model, the spin magnetic moment is originated from the self-rotating Dirac wavepacket with a correct g-value. The spin-orbit interaction is related to Berry connection (gauge potential) and the model is generalized to solid state systems. The Rashba effect caused by the spin-orbit coupling in a crystal with asymmetric potential in heterostructure quantum well is calculated by semiclassical spindependent scattering. The exact treatment of interface phase accumulation provides a justification of spin-dependent boundary condition at interface derived in previous treatment using Löwdin decomposition. Other spin-orbit coupling related phenomena in solid state system are also discussed in this thesis. / text

Neste trabalho investigamos pela primeira vez flutuações dependentes de spin em correntes eletrônicas polarizadas através de estruturas magnéticas. Nosso sistema físico consiste de uma heteroestrutura com tunelamento ressonante formada por um poço ou \"ponto\" quântico contendo Mn, confinado entre duas barreiras de potencial. Usamos um modelo semiclássico baseado em equações de taxa para calcular as ocupações dos estados ressonantes up e down. Estas equações são derivadas de uma equação mestra que descreve a probabilidade de ocupação dos estados de spin em um dado tempo. Funções correlação corrente-corrente são expressas em termos das funções correlação hop-hop (associadas à transições entre os níveis ressonantes up e down) e o shot noise dependente de spin é determinado em termos da matriz variância do sistema, também derivada da equação mestra. Quando consideramos um feixe polarizado e tempos distintos (&#964 &#8593 &#8595 &#8800 &#964 &#8595 &#8593), podemos obter ambas \"correlações positivas\" (&#8249 &#916 &#8593 &#916 &#8595 &#8250 &#8805 0) e/ou \"negativas\" (&#8249 &#916 &#8593 &#916 &#8595 &#8250 &#8804 0) no nosso modelo. A generalização e reinterpretação do modelo de ilhas nos possibilitou (i) investigar flutuações dependentes de spin em correntes polarizadas; (ii) observar aumento e atenuação do shot noise; (iii) verificar que processos de \"spin-flip\" com (&#964 &#8593 &#8595 &#8800 &#964 &#8595 &#8593) são relevantes na atenuação do shot noise e (iv) verificar que o ruído contém informações sobre o processo de \"spin-flip\" / In this work we investigate for the first time spin-dependent fluctuations in spin-polarized electronic currents through magnetic structures. Our physical model consists of a resonant-tunneling heterostructure formed by a Mn-based quantum well or \"point\", confined between a double-barrier potential. We used a semiclassical model based on rate equations to calculate the occupations of the spin-up and spindown resonant states. These equations are derived from a master equation describing the probability of occupation of the spin states at a given time. Current-current correlation functions are expressed in terms of hop-hop correlation functions (for hops between islands representing the up and down states) and the spin-dependent shoi noise is determined in terms of the variance matrix of the system; also derived from the master equation. When we consider a polarized beam and distinctive times (&#964 &#8593 &#8595 &#8800 &#964 &#8595 &#8593), we can obtain both \"positive correlations\" (&#8249 &#916 &#8593 &#916 &#8595 &#8250 &#8805 0) and \"negative correlations\" (&#8249 &#916 &#8593 &#916 &#8595 &#8250 &#8804 0) in our model. The generalization and reinterpretation of the island model allowed us (i) to investigate spin-dependent fluctuations in spinpolarized electronic currents; (ii) to observe enhancement and suppression of shot noise; (iii) to verify that spin-flip processes with (&#964 &#8593 &#8595 &#8800 &#964 &#8595 &#8593) are relevant to shotnoise suppression and (iv) to verify that noise contains information about spin-flip processes

Es werden ab-initio Rechnungen des Supermagnetwiderstands-Effektes von Fe/Cr-Multilagen vorgestellt. Die Elektronenstruktur wurde im Rahmen einer LCAO-Superzellen-Rechnung bestimmt. Als Störung der idealen Schichtstruktur wurden Cr-Defekte in Fe angenommen, die durch spinabhängige Relaxationszeiten beschrieben werden. Die elektrischen Transportkoeffizienten wurden durch Lösung der linearisierten Boltzmann-Gleichung in Relaxationszeitnäherung unter Verwendung des Mott-schen Zweistrommodells berechnet. Bei den betrachteten Systemen variierte die Dicke der Fe-Schicht zwischen 3 und 9 Monolagen, die der Cr-Schicht zwischen 1 und 13 Monolagen. In Abhängigkeit von der Fe- bzw. Cr-Schichtdicke ergeben sich in Übereinstimmung mit den Experimenten charakteristische Oszillationen des Supermagnetwiderstandes. Es wird der Einfluß der Spinanisotropie der Streuung auf den Effekt untersucht. Insbesondere kann gezeigt werden, daß der Effekt auch für spinunabhängige Streuung existiert. / Ab-initio calculations of the Giant Magnetoresistance (GMR) for Fe/Cr multilayers are presented. The electronic structure of the Fe/Cr superlattice is calculated within an optimized LCAO scheme using the local spin density approximation. The scattering of the electrons by Cr impurities in an Fe environment is taken into account by spin dependent relaxation times. The transport is described quasiclassically by solving the linearized Boltzmann equation in relaxation time approximation. In agreement with experiments characteristic oscillations of the GMR are obtained in dependence on the Cr and Fe layer thickness. It can be shown, that the GMR can be reduced or increased by the spin anisotropy of the scattering, but the phenomenon still exists for spin-independent scattering.