Itinerant Spin Dynamics in Structures of ... - Jacobs University

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vi Contents B Linear Response 132 B.1 Kubo Formula for Weak Disorder . . . . . . . . . . . . . . . . . . . . . . . . 134 C Cooperon and Spin Relaxation 137 C.1 Sum Formula for the Cooperon . . . . . . . . . . . . . . . . . . . . . . . . . 137 C.2 Spin-Conserving Boundary . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 C.3 Relaxation Tensor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140 C.4 Weak Localization Correction in 2D . . . . . . . . . . . . . . . . . . . . . . 141 C.5 Exact Diagonalization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142 D Hamiltonian in [110] growth direction 146 E Summation over the Fermi Surface 148 F KPM 150
Citations to Previously Published Work Large portions of the chapters have appeared in the following four papers: 1. Wenk P., Kettemann S. et al. Spin Polarized Transport and Spin Relaxation in QuantumWires. In: NanoScienceandTechnology. Springer-VerlagBerlinHeidelberg; (2010). 2. Wenk P., Kettemann S. Spin Relaxation in Quantum Wires. In: Sattler K, Francis& Taylor Handbook on Nanophysics.; (2010) p.49. 3. Wenk P., Kettemann S. Dimensional Dependence of Weak Localization Corrections and Spin Relaxation in Quantum Wires with Rashba Spin Orbit Coupling. Phys. Rev. B. 81 125309 (2010). 4. Wenk P., Kettemann S. Direction Dependence of Spin Relaxation in Confined Two- Dimensional Systems. Phys. Rev. B. 83 115301 (2011). vii
Page 1 and 2: Itinerant Spin Dynamics in Structur
Page 3 and 4: Itinerant Spin Dynamics in Structur
Page 5: Contents v 3.2.2 Weak Localization
Page 9 and 10: Dedicated to Linda, my parents and
Page 11 and 12: Chapter 1 Introduction Structure of
Page 13 and 14: Chapter 1: Introduction 3 the coupl
Page 15 and 16: Chapter 1: Introduction 5 Throughou
Page 17 and 18: Chapter 2: Spin Dynamics: Overview
Page 35 and 36: Chapter 3 WL/WAL Crossover and Spin
Page 37 and 38: Chapter 3: WL/WAL Crossover and Spi
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Chapter 3: WL/WAL Crossover and Spi
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Chapter 4 Direction Dependence of S
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Chapter 4: Direction Dependence of
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Chapter 5 Spin Hall Effect 5.1 Intr
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Chapter 5: Spin Hall Effect 85 curr
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Chapter 5: Spin Hall Effect 87 with
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Chapter 5: Spin Hall Effect 89 1.0
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Chapter 5: Spin Hall Effect 91 as s
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Chapter 5: Spin Hall Effect 93 V⩵
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Chapter 5: Spin Hall Effect 95 0.4
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Chapter 5: Spin Hall Effect 97 oper
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Chapter 5: Spin Hall Effect 99 the
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Chapter 5: Spin Hall Effect 101 str
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Chapter 5: Spin Hall Effect 103 Com
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Chapter 5: Spin Hall Effect 105 Fin
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Chapter 6: Critical Discussion and
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Chapter 6: Critical Discussion and
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List of Figures 111 3.3 Exemplifica
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List of Figures 113 4.2 The spin de
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List of Tables 3.1 Singlet and trip
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Bibliography 117 [BB04] [BBF + 88]
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Bibliography 119 [DP71b] [DP71c] [D
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Bibliography 121 [HSM + 06] [HSM +
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Bibliography 123 [MACR06] T. Mickli
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Bibliography 125 [PMT88] [PP95] [PT
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Bibliography 127 [Tor56] H. C. Torr
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Appendix A SOC Strength in the Expe
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Appendix A: SOC Strength in the Exp
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Appendix B: Linear Response 133 in
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Appendix B: Linear Response 135 Pro
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Appendix C Cooperon and Spin Relaxa
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Appendix C: Cooperon and Spin Relax
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Appendix D: Hamiltonian in [110] gr
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Appendix E: Summation over the Ferm
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Appendix F: KPM 151 integer running
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