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

More documents

Recommendations

Info

Appendix D Hamiltonian in [110] growth direction with The Cooperon Hamiltonian in the 0-mode approximation is given as follows ⎛ ⎞ A B C H c,0 = ⎜ ⎝ B ∗ D E ⎟ ⎠ +M q3, (D.1) C ∗ E ∗ F A = 1 4q 2 W (q ( 2 4k 2 x +3 (˜q 1 2 +q2 2 )) W ( ) q2 W −16k x˜q 1 sin + (˜q 1 2 −q 2 2 2) sin(q2 W)), (D.2) ( ( ) ) i 4k x sin q2 W 2 − ˜q 1 sin(q 2 W) B = √ , (D.3) 2W C = − q 2 (˜q 2 1 +q2 2 ) ( W + q 2 2 − ˜q 1 2 ) sin(q2 W) , (D.4) 4q 2 W D = q ( 2 2k 2 x + ˜q 1 2 ) ( +q2 2 W + q 2 2 − ˜q 1 2 ) sin(q2 W) , (D.5) 2q 2 W ( ( ) ) i 4k x sin q2 W 2 + ˜q 1 sin(q 2 W) E = √ , (D.6) 2W F = 1 4q 2 W (q ( 2 4k 2 x +3 (˜q 1 2 +q2 2 )) W ( ) q2 W +16k x˜q 1 sin + (˜q 1 2 −q 2 2 2) sin(q2 W)) (D.7) 146
Appendix D: Hamiltonian in [110] growth direction 147 and the term due to cubic Dresselhaus SOC M q3 = ⎛ q 3 ⎜ ⎝ 1 4 sinc(q 2W)+ 3 1 4 0 4 sinc(q 2W)− 1 4 1 0 2 − 1 2 sinc(q 2W) 0 1 4 sinc(q 2W)− 1 1 4 0 4 sinc(q 2W)+ 3 4 ⎞ ⎟ ⎠ . (D.8)
Page 1 and 2:
Itinerant Spin Dynamics in Structur
Page 3 and 4:
Itinerant Spin Dynamics in Structur
Page 5 and 6:
Contents v 3.2.2 Weak Localization
Page 7 and 8:
Citations to Previously Published W
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:
Page 21 and 22:
Page 23 and 24:
Page 25 and 26:
Page 27 and 28:
Page 29 and 30:
Page 31 and 32:
Page 33 and 34:
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:
Page 41 and 42:
Page 43 and 44:
Page 45 and 46:
Page 47 and 48:
Page 49 and 50:
Page 51 and 52:
Page 53 and 54:
Page 55 and 56:
Page 57 and 58:
Page 59 and 60:
Page 61 and 62:
Page 63 and 64:
Page 65 and 66:
Page 67 and 68:
Page 69 and 70:
Page 71 and 72:
Page 73 and 74:
Page 75 and 76:
Page 77 and 78:
Chapter 4 Direction Dependence of S
Page 79 and 80:
Chapter 4: Direction Dependence of
Page 81 and 82:
Page 83 and 84:
Page 85 and 86:
Page 87 and 88:
Page 89 and 90:
Page 91 and 92:
Page 93 and 94:
Chapter 5 Spin Hall Effect 5.1 Intr
Page 95 and 96:
Chapter 5: Spin Hall Effect 85 curr
Page 97 and 98:
Chapter 5: Spin Hall Effect 87 with
Page 99 and 100:
Chapter 5: Spin Hall Effect 89 1.0
Page 101 and 102:
Chapter 5: Spin Hall Effect 91 as s
Page 103 and 104:
Chapter 5: Spin Hall Effect 93 V⩵
Page 105 and 106: Chapter 5: Spin Hall Effect 95 0.4
Page 107 and 108: Chapter 5: Spin Hall Effect 97 oper
Page 109 and 110: Chapter 5: Spin Hall Effect 99 the
Page 111 and 112: Chapter 5: Spin Hall Effect 101 str
Page 113 and 114: Chapter 5: Spin Hall Effect 103 Com
Page 115 and 116: Chapter 5: Spin Hall Effect 105 Fin
Page 117 and 118: Chapter 6: Critical Discussion and
Page 119 and 120: Chapter 6: Critical Discussion and
Page 121 and 122: List of Figures 111 3.3 Exemplifica
Page 123 and 124: List of Figures 113 4.2 The spin de
Page 125 and 126: List of Tables 3.1 Singlet and trip
Page 127 and 128: Bibliography 117 [BB04] [BBF + 88]
Page 129 and 130: Bibliography 119 [DP71b] [DP71c] [D
Page 131 and 132: Bibliography 121 [HSM + 06] [HSM +
Page 133 and 134: Bibliography 123 [MACR06] T. Mickli
Page 135 and 136: Bibliography 125 [PMT88] [PP95] [PT
Page 137 and 138: Bibliography 127 [Tor56] H. C. Torr
Page 139 and 140: Appendix A SOC Strength in the Expe
Page 141 and 142: Appendix A: SOC Strength in the Exp
Page 143 and 144: Appendix B: Linear Response 133 in
Page 145 and 146: Appendix B: Linear Response 135 Pro
Page 147 and 148: Appendix C Cooperon and Spin Relaxa
Page 149 and 150: Appendix C: Cooperon and Spin Relax
Page 155: Appendix C: Cooperon and Spin Relax
Page 159 and 160: Appendix E: Summation over the Ferm
Page 161: Appendix F: KPM 151 integer running
show all

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

Create successful ePaper yourself

Delete template?

Save as template?