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

More documents

Recommendations

Info

2 A Guide for the Reader the Coulomb blockade. A further lowering of the temperature leads into the Kondo regime. The fourth series of lectures deals with a very specific and cute aspect of nanophysics: a peculiar property of superconducting mirrors as discovered by Andreev about forty years ago. The Andreev reflection at a superconductor modifies the excitation spectrum of a quantum dot. The difference between a chaotic and integrable billiard (quantum dot) is discussed and relevant classical versus quantum time scales are given. The results are a challenge to experimental physicists as they are not confirmed as yet.
The Renormalization Group Approach – From Fermi Liquids to Quantum Dots R. Shankar Sloane Physics Lab, Yale University, New Haven CT 06520 r.shankar@yale.edu 1 The RG: What, Why and How Imagine that you have some problem in the form of a partition function � � Z(a, b) = dx dye −a(x2 +y 2 ) −b(x+y) e 4 where a, b are the parameters. First consider b =0,the gaussian model. Suppose that you are just interested in x, say in its fluctuations. Then you have the option of integrating out y and working with the new partition function � Z(a) =N dxe −ax2 (2) where N comes from doing the y-integration. We will ignore such an xindependent pre-factor here and elsewhere since it will cancel in any averaging process. Consider now the nongaussian case with b �= 0. Here we have � �� dx dye −a(x2 +y 2 ) −b(x+y) e 4 � Z(a ′ ,b ′ ...)= � ≡ dxe −a′ x 2 e −b′ x 4 −c ′ x 6 +... where a ′ , b ′ etc., define the parameters of the effective field theory for x. These parameters will reproduce exactly the same averages for x as the original ones. This evolution of parameters with the elimination of uninteresting degrees of freedom, is what we mean these days by renormalization, and as such has nothing to do with infinities; you just saw it happen in a problem with just two variables. R. Shankar: The Renormalization Group Approach – From Fermi Liquids to Quantum Dots, Lect. Notes Phys. 667, 3–24 (2005) www.springerlink.com c○ Springer-Verlag Berlin Heidelberg 2005 (1) (3)
Page 1 and 2: Lecture Notes in Physics Editorial
Page 3 and 4: W. Dieter Heiss (Ed.) Quantum Dots:
Page 5: Preface Nanoscale physics, nowadays
Page 9 and 10: Contents A Guide for the Reader ...
Page 11: A Guide for the Reader Quantum dots
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
Page 61 and 62: 10 5 0 -5 Semiconductor Few-Electro
Page 63 and 64:
G ( e / h) 2 2 1 0 Semiconductor Fe
Page 65 and 66:
Semiconductor Few-Electron Quantum
Page 67 and 68:
V R (V) V R (V) Semiconductor Few-E
Page 69 and 70:
V L (V) -1.084 -1.082 -1.080 -1.078
Page 71 and 72:
B // Semiconductor Few-Electron Qua
Page 73 and 74:
Page 75 and 76:
Page 77 and 78:
a RESERVOIR 200 nm Semiconductor Fe
Page 79 and 80:
Page 81 and 82:
4.5 QPC Versus SET Semiconductor Fe
Page 83 and 84:
a reservoir dot Semiconductor Few-E
Page 85 and 86:
a b c V P (mV) 10 5 0 ∆I QPC E F
Page 87 and 88:
Page 89 and 90:
Page 91 and 92:
Spin-down counts 200 100 a Semicond
Page 93 and 94:
Page 95 and 96:
Page 97 and 98:
Page 99 and 100:
Page 101 and 102:
6.7 Unresolved Issues Semiconductor
Page 103 and 104:
Page 105 and 106:
Page 107 and 108:
98 M. Pustilnik and L.I. Glazman Co
Page 109 and 110:
100 M. Pustilnik and L.I. Glazman F
Page 111 and 112:
102 M. Pustilnik and L.I. Glazman (
Page 113 and 114:
104 M. Pustilnik and L.I. Glazman A
Page 115 and 116:
106 M. Pustilnik and L.I. Glazman t
Page 117 and 118:
Page 119 and 120:
110 M. Pustilnik and L.I. Glazman
Page 121 and 122:
112 M. Pustilnik and L.I. Glazman f
Page 123 and 124:
114 M. Pustilnik and L.I. Glazman 5
Page 125 and 126:
116 M. Pustilnik and L.I. Glazman U
Page 127 and 128:
Page 129 and 130:
Page 131 and 132:
122 M. Pustilnik and L.I. Glazman d
Page 133 and 134:
124 M. Pustilnik and L.I. Glazman G
Page 135 and 136:
126 M. Pustilnik and L.I. Glazman d
Page 137 and 138:
Page 139 and 140:
Page 141 and 142:
132 C.W.J. Beenakker e e N I N S Fi
Page 143 and 144:
134 C.W.J. Beenakker 2 Andreev Refl
Page 145 and 146:
136 C.W.J. Beenakker F E x 8d/hv ga
Page 147 and 148:
138 C.W.J. Beenakker and we have de
Page 149 and 150:
140 C.W.J. Beenakker A stroboscopic
Page 151 and 152:
142 C.W.J. Beenakker largely indepe
Page 153 and 154:
144 C.W.J. Beenakker The effective
Page 155 and 156:
146 C.W.J. Beenakker Fig. 6. Ensemb
Page 157 and 158:
148 C.W.J. Beenakker 1.4 1.2 1.0 0.
Page 159 and 160:
150 C.W.J. Beenakker 〈ρ(E)〉 =
Page 161 and 162:
152 C.W.J. Beenakker P 0.5 0.4 0.3
Page 163 and 164:
154 C.W.J. Beenakker P(x) 0.4 0.3 0
Page 165 and 166:
156 C.W.J. Beenakker tunnel/ Egap 4
Page 167 and 168:
158 C.W.J. Beenakker its momentum).
Page 169 and 170:
160 C.W.J. Beenakker E00 = π� =
Page 171 and 172:
162 C.W.J. Beenakker 〈ρ(E)〉 δ
Page 173 and 174:
164 C.W.J. Beenakker As described i
Page 175 and 176:
166 C.W.J. Beenakker 0.30 � Egap
Page 177 and 178:
168 C.W.J. Beenakker The τE-depend
Page 179 and 180:
170 C.W.J. Beenakker that a fully m
Page 181 and 182:
172 C.W.J. Beenakker (τ−,τ+), w
Page 183:
174 C.W.J. Beenakker 61. P. G. Silv
show all

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

Create successful ePaper yourself

Delete template?

Save as template?