Nuclear Spins in Quantum Dots

Nuclear Spins in Quantum Dots......Page 3
Preface......Page 5
Contents......Page 7
1.1 Quantum dots......Page 9
1.2 Spin admixture......Page 10
1.2.1 Spin-orbit interaction......Page 11
1.3 Quantum dynamics and the reduced density matrix formalism......Page 14
1.4 Spin-ip rates......Page 15
1.5 Dynamics of electron spins......Page 16
1.6 This thesis......Page 17
References......Page 18
Nucleus-mediated spin-ip transitions in GaAs quantum dots......Page 21
2.1 Introduction......Page 22
2.2 Model and assumptions......Page 23
2.3 Comparison and estimates......Page 27
References......Page 30
Hyper ne-mediated transitions between a Zeeman split doublet in GaAs quantum dots: The role of the internal  eld......Page 31
3.1 Introduction......Page 32
3.2 Model and assumptions......Page 33
3.3 Internal magnetic  eld......Page 35
3.4 Transition rate......Page 37
3.5 Discussion......Page 42
References......Page 43
Nuclear spin induced coherent oscillations of transport current through a double quantum dot......Page 45
4.1 Introduction......Page 46
4.2 Model......Page 47
4.3 Density matrix and average electron spin......Page 51
4.4 Nuclear system dynamics......Page 53
4.4.2 Numerical integration......Page 62
References......Page 63
Time-evolution of the e ective nuclear magnetic  eld due to a localized electron spin......Page 65
5.1 Introduction......Page 66
5.2 Hyper ne interaction in quantum dots......Page 67
5.3 Semiclassical dynamics......Page 68
5.4 Adiabatic approximation for the electron spin......Page 72
5.5 Correlation functions......Page 74
5.6 Nuclear subsystem dynamics......Page 75
References......Page 79
Appendix A Thermal average over nuclear spin pairs......Page 81
Appendix B Matrix elements for a parabolic quantum dot......Page 83
Summary......Page 85
Samenvatting......Page 87
Curriculum Vitae......Page 91
List of publications......Page 93