Winter 2006/2007: Introduction to Mesoscopic Physics and Quantum Dots (15466-01)

Prof. Dr. Dominik Zumbühl

time and location of course: 
every Wednesday, 10:15am-12pm, Room 4.1
, Institute of Physics, Klingelbergstrasse 82.

[Content of this page]
organization of lecture
schedule and content
projects and presentations


last updated jan 24, 2007

Organization of Lecture, WS06/07

weekly lectures wednesdays 10:15am-12pm, Room 4.1, Institute of Physics.

syllabus 2D electron gas, quantum point contacts, quantum dots, conductance fluctuations, quantum phase coherence, Coulomb blockade, Kondo effect, few electron dots, spin blockade, spin relaxation, charge sensing, single spin measurement, spin manipulation and coherence, nuclear spins, electron spin resonance, spin qubits, quantum computation.

for: 6. semester bachelor and masters students in nanoscience and physics. physics III lecture is a prerequisite

2 credit points this lecture is a two hours per week course, no problem sets, final presentation, pass/fail. 

purpose of this lecture is to bring the audience up to date on current experimental research in the field of quantum transport through nanostructures, focusing mainly on quantum dots in GaAs, spin-quibts in coupled dots and quantum computation. The lecture will inevitably discuss some simple condensed matter theory but will mainly focus on experiments

structure will be a combination of lectures on my part to intruduce the basics and subsequent presentations done by students towards the end of the semester on topics that can be chosen by students from a selection. There will be no problem sets, but moderate amounts of reading as preparation for lectures will be assigned. The class is pass/fail, and the evaluation will be based on the presentation given by each student taking the class for credit. Sit-ins/students auditing the class (not for credit) are welcome

Lecture Schedule and Content, WS06/07


datelecture content  
oct 25 , wed, 10ampreliminary meeting 
nov 1, wed, 10:15amsolid state physics background
crystals, bands, effective mass approximation, spin-orbit coupling, GaAs conduction and valence bands, density of states, occupation of bands, intrinsic carrier concentration, semiconductor doping
nov 8, wedno class 
nov 15, wed, 10:15amsemiconductor surfaces and interfaces
surface states, semiconductor-vacuum interface, band bending, Fermi level pinning, Schottky barrier and diodelecture notes pdf
nov 22, wed, 10:15am2D electron gases (GaAs)
properties of 2DEGs, scattering mechanisms in 2DEGs and bulk GaAs, screening in 2D and 3D, Friedel Oscillations, ohmic contacts to 2DEGs, lateral gating and nanoscale deviceslecture notes pdf
nov 29, wed, 10:15amexperimental techniques
sample fabrication, low temperature methods (chapter 4, Heinzel), quantum point contacts
van Wees et al., PRL60, 848 (1988) pdf
van Wees et al., PRB38, 3625 (1988) pdf
dec 6, wed, 10:15amconcepts in mesoscopic physics I 
Drude conductivity, Einstein relation, mesoscopic time and length scales, classical Hall effect, (integer) quantum Hall effect
dec 13, wed, 10:15amconcepts in mesoscopic physics II 
classical Hall effect, (integer) quantum Hall effect, 1D subbands, quantum point contacts, 0.7 structure
Cronenwett et al., PRL88, 226805 (2002) pdf
(lecture notes chapter 3: pdf)
dec 20, wed, 10:15amquantum dots I: Introduction 
open and closed dot regimes, Coulomb Blockade, 
quantum confinement energy, constant interaction model 
lecture notes: pdf

Kouwenhoven et al., dot review article, pp 1-28 pdf
van Houten et al., CB review, NATO ASI, pp 1-15 pdf
Foxman et al., PRB47, 10020 (1993) pdf
Foxman et al., PRB50, 14193 (1994) pdf
jan 10, wed, 10:15amquantum dots I: Introduction (cont.)
Coulomb diamonds, ground state and excited state spectroscopy, sequential and cotunneling transport, Coulomb peak lineshapes 
lecture notes pdf

quantum dots II: Open Dots
open dot regime, conductance fluctuations,
weak localization, phase coherence, 
lecture notes pdf

A. Huibers, Ph. D. Thesis (1999) and
S. Cronenwett, Ph. D. Thesis (2001)
are available on the marcuslab[page does not exist anymore] webpage.

open dot regime 
Huibers et al., PRL83, 5090 (1999) pdf
jan 17, wed, 10:15amquantum dots II: Open Dots (cont.)
random matrix theory, spin-orbit coupling in 
semiconductors and quantum dots, weak antilocalization 
lecture notes pdf

quantum dots III: Kondo Effect 
Kondo effect (metals, quantum dots), Kondo screening cloud, zero bias peak, logarithmic temperature dependence, even-odd structure 
lecture notes pdf

Kondo effect
Goldhaber-Gordon et al., Nature 391, 156 (1998) pdf
Cronenwett et al., Science 281, 540 (1998) pdf
jan 24, wed, 10:15am<quantum dots IV: Few Electron Dots 
lateral / vertical few electron structures, circular symmetry: shell filling, Fock-Darwin states, Singlet-Triplet states, Singlet Triplet ground state transition, 
lecture notes pdf

Few Electron Dots
Tarucha et al., PRL77, 3613 (1996) pdf
Ciorga et al., PRB61, 16315 (2000) pdf
Kouwenhoven et al., Science 278, 1788 (1997) pdf
Kouwenhoven, Austing & Tarucha, RPP 64, 701 (2002) pdf

double quantum dots
double quantum dots, honey comb stability diagrams,
finite bias transport, anticrossings 
lecture notes pdf
jan 31, wed, 10:15ampresentations I 
1. charge sensing, Frank Freitag
3. singlet tripet states, Jan Brunner
4. spin blockade, Peter Noy
feb 7, wed, 10:15ampresentations II
5. spin relaxation I, Roger Serra 
6. spin relaxation II, Florian Schweizer
8. single spin readout, Alex Willand
feb 14, wed, 10:15ampresentations III
10. spin manipulation, Alex Eichler
11. spin resonance, Charulata Barge



Projects and Presentations, SS06



1. charge sensingField et al., PRL70, 1311 (1993) pdf
Elzerman et al., PRB67, 161308R (2003) pdf 
DiCarlo et al., PRL92, 226801 (2004) pdf
2. charge manipulation Hayashi et al., PRL91, 226804 (2003) pdf 
Petta et al., PRL93, 186802 (2004) pdf
3. singlet triplet statesKyriakidis et al., PRB66, 35320 (2002) pdf
Zumbuhl et al., PRL93, 256801 (2004) pdf[page does not exist anymore]
4. spin blockade Ono et al., Science 297, 1313 (2002) pdf
Johnson et al., PRB72, 165308 (2005) pdf
5. spin relaxation I Fujisawa et al., Nature 419, 278 (2002) pdf
Hanson et al., PRL91, 196802 (2003) pdf
6. spin relaxation II Kroutvar et al., Nature 432, 81 (2004) pdf
Amasha et al., cond-mat/0610679 (2006) pdf[page does not exist anymore]
7. spin filteringPotok et al., PRL89, 266602 (2002) pdf
Folk et al., Science 299, 679 (2003) pdf
Hanson et al., PRB70, 241304R (2004) pdf
8. single spin readoutElzerman et al., Nature 430, 431 (2004) pdf
Hanson et al., PRL94, 196802 (2005) pdf
9. nuclear spins Johnson et al., Nature 435, 925 (2005) pdf
Koppens et al., Science 309, 134 (2005) pdf
10. spin manipulationPetta et al., Science 309, 2180 (2005) pdf
11. spin resonance Koppens et al., Nature 442, 766 (2006) pdf




“Mesoscopic Electronics in Solid State Nanostructures”, Thomas Heinzel, Wiley-VCH (2003)
 “Electronic Transport in Mesoscopic Systems”, Supriyo Datta, Cambridge Universy Press (1995)
 “The Physics of Low-Dimensional Semicond.”, John H. Davies, Cambridge University Press (1998)

review articles
“Quantum Transport in Semiconductor Nanostructures”, C. W. J. Beenakker and H. van Houten, published in Solid State Physics, 44, 1-228 (1991) (out of print, available at arXive:cond-mat/0412664) pdf

“Electron Transport in Quantum Dots”, L. P. Kouwenhoven, C. M. Marcus, P. L. McEuen, S. Tarucha, R. M. Westervelt and N. Wingreen, NATO ASI conference proceedings, edited by L. L. Sohn, L. P. Kouwenhoven and G. Schön (Kluwer, Dordrecht, 1997). pdf

“Coulomb Blockade Oscillations in Semiconductor Nanostructures”, H. van Houten, C. W. J. Beenakker and A. A. M. Staring, published in Single Charge Tunneling, edited by H. Grabert and M. H. Devoret,  NATO ASI series B294 (Plenum, New York, 1992), (out of print, available at arXive:cond-mat/0508454). pdf

“Few-Electron Quantum Dots”, L. P. Kouwenhoven, D. G. Austing and S. Tarucha, Rep. Prog. Phys. 64, 701 (2001). pdf

“Recipes for Spin Based Quantum Computing”, V. Cerletti, W. A. Coish, O. Gywat and D. Loss, Nanotechnology 16, R27 (2005). pdf