Heiss W.D. (ed.) Quantum dots.. a doorway to - tiera.ru

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56 J.M. Elzerman et al. V L (V) -1.02 -1.00 -0.98 -0.96 a 12 22 21 11 01 00 10 -0.15 -0.20 -0.25 -0.30 V PR (V) Fig. 18. Current through the double quantum dot in the few-electron regime. (a) IDOT (in logarithmic grayscale) versusVL and VPR in the same region as shown in Fig. 17b, with VDOT = 100 µV andVSD1 = VSD2 =0.Dotted lines are extracted from Fig. 17b. Dark gray indicates a current flowing, with the darkest regions (in the bottom left corner) corresponding to ∼100 pA. In the light gray regions current is zero due to Coulomb blockade. Inside the dashed square, the last triple points are faintly visible (∼1 pA). (A smoothly varying background current due to a small leakage current from a gate to the 2DEG has been subtracted from all traces.) (b) Close-up of the region inside the dashed square in (a), showing the last two triple points before the double dot is completely empty. The current at these triple points is very small (
V R (V) V R (V) Semiconductor Few-Electron Quantum Dots as Spin Qubits 57 a -0.95 weak coupling 00 a b -1.00 intermediate coupling 00 b -0.90 -0.85 -1.10 -1.05 -1.00 c -0.85 -0.90 -0.95 V L (V) strong coupling -1.00 -1.05 -1.10 V L (V) c 00 -0.95 -0.90 -0.90 -0.95 -1.00 -1.05 V L (V) Fig. 19. Controlling the inter-dot coupling (in sample 2) with VM . These charge stability diagrams of the double quantum dot are measured using the QPC on the left. A small modulation (3 mV at 235 Hz) is applied to gate PR,anddIQP C/dVPR is measured with a lock-in amplifier and plotted in grayscale versus VL and VR. A magnetic field of 6 Tesla is applied in the plane of the 2DEG. (a) Weak-coupling regime. VM is such that all dark lines indicating charge transitions are straight. The tunnel-coupling between the two dots is therefore negligible compared to the capacitive coupling. (b) Intermediate-coupling regime. VM is 0.07 V less negative than in (a), such that lines in the bottom left corner are slightly curved. This signifies that here the inter-dot tunnel-coupling is comparable to the capacitive coupling. (c) Strong-coupling regime. VM is 0.1 V less negative than in (b), such that all lines are very curved. This implies that the tunnel-coupling is dominating over the capacitive coupling and the double dot behaves as a single dot
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Lecture Notes in Physics Editorial
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W. Dieter Heiss (Ed.) Quantum Dots:
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Preface Nanoscale physics, nowadays
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Contents A Guide for the Reader ...
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A Guide for the Reader Quantum dots
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The Renormalization Group Approach
Page 15 and 16: RG for Interacting Fermions 5 where
Page 17 and 18: where � is a shorthand: � ≡ 3
Page 19 and 20: RG for Interacting Fermions 9 These
Page 21 and 22: RG for Interacting Fermions 11 is i
Page 23 and 24: RG for Interacting Fermions 13 the
Page 25 and 26: RG for Interacting Fermions 15 this
Page 27 and 28: RG for Interacting Fermions 17 equa
Page 29 and 30: � p � dθp = g 2π RG for Inter
Page 31 and 32: RG for Interacting Fermions 21 the
Page 33 and 34: References RG for Interacting Fermi
Page 35 and 36: Semiconductor Few-Electron Quantum
Page 39 and 40: 1.2 Implementations Semiconductor F
Page 43 and 44: GaAs n-AlGaAs AlGaAs GaAs Semicondu
Page 49 and 50: ε1 ε0 e Semiconductor Few-Electro
Page 53 and 54: 250 Ω twisted pair 20 MΩ powder
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Page 63 and 64: G ( e / h) 2 2 1 0 Semiconductor Fe
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Page 69 and 70: V L (V) -1.084 -1.082 -1.080 -1.078
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Page 77 and 78: a RESERVOIR 200 nm Semiconductor Fe
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Page 85 and 86: a b c V P (mV) 10 5 0 ∆I QPC E F
Page 91 and 92: Spin-down counts 200 100 a Semicond
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132 C.W.J. Beenakker e e N I N S Fi
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134 C.W.J. Beenakker 2 Andreev Refl
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136 C.W.J. Beenakker F E x 8d/hv ga
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138 C.W.J. Beenakker and we have de
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140 C.W.J. Beenakker A stroboscopic
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142 C.W.J. Beenakker largely indepe
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144 C.W.J. Beenakker The effective
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146 C.W.J. Beenakker Fig. 6. Ensemb
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148 C.W.J. Beenakker 1.4 1.2 1.0 0.
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150 C.W.J. Beenakker 〈ρ(E)〉 =
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152 C.W.J. Beenakker P 0.5 0.4 0.3
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154 C.W.J. Beenakker P(x) 0.4 0.3 0
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156 C.W.J. Beenakker tunnel/ Egap 4
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158 C.W.J. Beenakker its momentum).
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160 C.W.J. Beenakker E00 = π� =
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162 C.W.J. Beenakker 〈ρ(E)〉 δ
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164 C.W.J. Beenakker As described i
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166 C.W.J. Beenakker 0.30 � Egap
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168 C.W.J. Beenakker The τE-depend
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170 C.W.J. Beenakker that a fully m
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172 C.W.J. Beenakker (τ−,τ+), w
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174 C.W.J. Beenakker 61. P. G. Silv
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Heiss W.D. (ed.) Quantum dots.. a doorway to - tiera.ru

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