Itinerant Spin Dynamics in Structures of ... - Jacobs University
Itinerant Spin Dynamics in Structures of ... - Jacobs University
Itinerant Spin Dynamics in Structures of ... - Jacobs University
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Contents<br />
Title Page . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .<br />
Abstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .<br />
Table <strong>of</strong> Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .<br />
Citations to Previously Published Work . . . . . . . . . . . . . . . . . . . . . . .<br />
Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .<br />
Dedication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .<br />
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iv<br />
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1 Introduction 1<br />
2 <strong>Sp<strong>in</strong></strong> <strong>Dynamics</strong>: Overview and Analysis <strong>of</strong> 2D Systems 6<br />
2.1 Short Rem<strong>in</strong>der on the Orig<strong>in</strong> <strong>of</strong> <strong>Sp<strong>in</strong></strong> Orbit Coupl<strong>in</strong>g . . . . . . . . . . . . 6<br />
2.2 <strong>Dynamics</strong> <strong>of</strong> a Localized <strong>Sp<strong>in</strong></strong> . . . . . . . . . . . . . . . . . . . . . . . . . 8<br />
2.3 <strong>Sp<strong>in</strong></strong> <strong>Dynamics</strong> <strong>of</strong> <strong>It<strong>in</strong>erant</strong> Electrons . . . . . . . . . . . . . . . . . . . . . . 8<br />
2.3.1 Ballistic <strong>Sp<strong>in</strong></strong> <strong>Dynamics</strong> . . . . . . . . . . . . . . . . . . . . . . . . . 8<br />
2.3.2 <strong>Sp<strong>in</strong></strong> Diffusion Equation . . . . . . . . . . . . . . . . . . . . . . . . . 9<br />
2.3.3 <strong>Sp<strong>in</strong></strong> Orbit Interaction <strong>in</strong> Semiconductors . . . . . . . . . . . . . . . 11<br />
2.3.4 <strong>Sp<strong>in</strong></strong> Diffusion <strong>in</strong> the Presence <strong>of</strong> <strong>Sp<strong>in</strong></strong>-Orbit Interaction . . . . . . . 15<br />
2.4 <strong>Sp<strong>in</strong></strong> Relaxation Mechanisms . . . . . . . . . . . . . . . . . . . . . . . . . . 18<br />
2.4.1 D’yakonov-Perel’ <strong>Sp<strong>in</strong></strong> Relaxation . . . . . . . . . . . . . . . . . . . 19<br />
2.4.2 DP <strong>Sp<strong>in</strong></strong> Relaxation with Electron-Electron and Electron-Phonon<br />
Scatter<strong>in</strong>g . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20<br />
2.4.3 Elliott-Yafet <strong>Sp<strong>in</strong></strong> Relaxation . . . . . . . . . . . . . . . . . . . . . . 21<br />
2.4.4 <strong>Sp<strong>in</strong></strong> Relaxation due to <strong>Sp<strong>in</strong></strong>-Orbit Interaction with Impurities . . . 21<br />
2.4.5 Bir-Aronov-Pikus <strong>Sp<strong>in</strong></strong> Relaxation . . . . . . . . . . . . . . . . . . . 22<br />
2.4.6 Magnetic Impurities . . . . . . . . . . . . . . . . . . . . . . . . . . . 22<br />
2.4.7 Nuclear <strong>Sp<strong>in</strong></strong>s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23<br />
2.4.8 Magnetic Field Dependence <strong>of</strong> <strong>Sp<strong>in</strong></strong> Relaxation . . . . . . . . . . . . 23<br />
3 WL/WAL Crossover and <strong>Sp<strong>in</strong></strong> Relaxation <strong>in</strong> Conf<strong>in</strong>ed Systems 25<br />
3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25<br />
3.1.1 One-Dimensional Wires . . . . . . . . . . . . . . . . . . . . . . . . . 25<br />
3.1.2 Wires with W > λ F . . . . . . . . . . . . . . . . . . . . . . . . . . . 26<br />
3.2 Quantum Transport Corrections . . . . . . . . . . . . . . . . . . . . . . . . 27<br />
3.2.1 Diagrammatic Approach . . . . . . . . . . . . . . . . . . . . . . . . . 27<br />
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