Quantum Coherence Lab

Zumbühl Group

 

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.

organization of lecture
schedule and content
projects and presentations
literature
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

date lecture content  
oct 25 , wed, 10am preliminary meeting  
nov 1, wed, 10:15am solid 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, wed no class  
nov 15, wed, 10:15am semiconductor surfaces and interfaces
surface states, semiconductor-vacuum interface, band bending, Fermi level pinning, Schottky barrier and diodelecture notes pdf
 
nov 22, wed, 10:15am 2D 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, 10:15am experimental 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, 10:15am concepts in mesoscopic physics I
Drude conductivity, Einstein relation, mesoscopic time and length scales, classical Hall effect, (integer) quantum Hall effect
 
dec 13, wed, 10:15am concepts 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, 10:15am quantum dots I: Introduction
open and closed dot regimes, Coulomb Blockade,
quantum confinement energy, constant interaction model
lecture notes: pdf

articles:
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, 10:15am quantum 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

literature:
A. Huibers, Ph. D. Thesis (1999) and
S. Cronenwett, Ph. D. Thesis (2001)
are available on the marcuslab webpage.

open dot regime
Huibers et al., PRL83, 5090 (1999) pdf
 
jan 17, wed, 10:15am quantum 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, 10:15am presentations I
1. charge sensing, Frank Freitag
3. singlet tripet states, Jan Brunner
4. spin blockade, Peter Noy
 
feb 7, wed, 10:15am presentations II
5. spin relaxation I, Roger Serra
6. spin relaxation II, Florian Schweizer
8. single spin readout, Alex Willand
 
feb 14, wed, 10:15am presentations III
10. spin manipulation, Alex Eichler
11. spin resonance, Charulata Barge
 


Projects and Presentations, SS06

topic refs
1. charge sensing Field 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 states Kyriakidis et al., PRB66, 35320 (2002) pdf
Zumbuhl et al., PRL93, 256801 (2004) pdf
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
7. spin filtering Potok et al., PRL89, 266602 (2002) pdf
Folk et al., Science 299, 679 (2003) pdf
Hanson et al., PRB70, 241304R (2004) pdf
8. single spin readout Elzerman 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 manipulation Petta et al., Science 309, 2180 (2005) pdf
11. spin resonance Koppens et al., Nature 442, 766 (2006) pdf


Literature

books
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