Itinerant Spin Dynamics in Structures of ... - Jacobs University
Itinerant Spin Dynamics in Structures of ... - Jacobs University Itinerant Spin Dynamics in Structures of ... - Jacobs University
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 19 and 20: Chapter 2: Spin Dynamics: Overview
- Page 21 and 22: Chapter 2: Spin Dynamics: Overview
- Page 23 and 24: Chapter 2: Spin Dynamics: Overview
- Page 25 and 26: Chapter 2: Spin Dynamics: Overview
- Page 27 and 28: Chapter 2: Spin Dynamics: Overview
- Page 29 and 30: Chapter 2: Spin Dynamics: Overview
- Page 31 and 32: Chapter 2: Spin Dynamics: Overview
- Page 33 and 34: 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
- Page 39 and 40: Chapter 3: WL/WAL Crossover and Spi
- Page 41 and 42: Chapter 3: WL/WAL Crossover and Spi
- Page 43 and 44: Chapter 3: WL/WAL Crossover and Spi
- Page 45 and 46: Chapter 3: WL/WAL Crossover and Spi
- Page 47 and 48: Chapter 3: WL/WAL Crossover and Spi
- Page 49 and 50: Chapter 3: WL/WAL Crossover and Spi
- Page 51 and 52: Chapter 3: WL/WAL Crossover and Spi
- Page 53 and 54: Chapter 3: WL/WAL Crossover and Spi
- Page 55 and 56: Chapter 3: WL/WAL Crossover and Spi
vi<br />
Contents<br />
B L<strong>in</strong>ear Response 132<br />
B.1 Kubo Formula for Weak Disorder . . . . . . . . . . . . . . . . . . . . . . . . 134<br />
C Cooperon and <strong>Sp<strong>in</strong></strong> Relaxation 137<br />
C.1 Sum Formula for the Cooperon . . . . . . . . . . . . . . . . . . . . . . . . . 137<br />
C.2 <strong>Sp<strong>in</strong></strong>-Conserv<strong>in</strong>g Boundary . . . . . . . . . . . . . . . . . . . . . . . . . . . 139<br />
C.3 Relaxation Tensor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140<br />
C.4 Weak Localization Correction <strong>in</strong> 2D . . . . . . . . . . . . . . . . . . . . . . 141<br />
C.5 Exact Diagonalization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142<br />
D Hamiltonian <strong>in</strong> [110] growth direction 146<br />
E Summation over the Fermi Surface 148<br />
F KPM 150
Change language