Nanophysics is one of the most fascinating fields of modern-day physics. It combines both the fundamental research and the aim for useful applications. In nanoelectronic circuits quantum phenomena characteristic for microscopic systems show up in easily measurable quantities such as currents and voltages. This course gives the students an overview of the basic phenomena taking place in nanoelectronic circuits at low temperatures, including single-electron and phase-coherent effects, noise and dissipation, and discusses some of their applications ranging from nanoscale transistors to quantum computing.
This course will be lectured during the Fall term 2005. The first lecture is on 22.9.
The course amounts to 3 credit points (according to the old system).
Lecturer: Dr Tero Heikkilä
Assistant: Pauli Virtanen
Lectures: Thursdays 15.30-17.15 Hall F3 (Note the time!)
Exercises: Mondays 12-14 Hall F2 (starting Sep 26th)
The course will also contain an excursion to the experimental nanoelectronics research groups (nano and pico) at the Low Temperature Laboratory
Language: English if the number of non-Finnish speakers is non-vanishing. The lecture notes will be in English.
Passing: Whole-term exam + points from the exercises
The course is recommended for interested undergraduate and graduate students with basic knowledge on quantum mechanics and solid state physics (for example, have passed courses Tfy-44.126 and Tfy-3.362).
New: Response form
Click here to give anonymous response on the course. You will need the same account/password as for the lecture notes.
Note that the first exams take place on
Thursday the 15th December at 9-12 in the Hall
This was different in an earlier exam schedule.
Low Temperature laboratory
excursion was held on Thursday 13th October, at 10
Dr Juha Vartiainen was your guide.
Energy, time and length scales
When is Ohm's law valid and when it is not, how is it broken?
theory of quantum transport
Reservoirs, leads and scattering states
Resistance of a ballistic low-dimensional contact
Connection to the Drude formula
effects in quantum wires
Weak and strong localization
Universal conductance fluctuations
Distribution function and its kinetic equation
Different forms of scattering
Diffusive limit and Drude formula
tunneling and Coulomb blockade
Tunnel Hamiltonian and Anderson model
Single-electron transistor SET
Dynamical Coulomb blockade, effect of environment
Higher-order effects: cotunneling, Kondo effect
Applications: transistor, thermometer
Basic concepts: dissipationless transport, pairing, energy gap
Tunnel structures: quasiparticle current and supercurrent
Andreev reflection and proximity effect
Josephson junctions and open quantum systems
Hamiltonian of a Josephson junction
Dissipation in quantum systems: Caldera-Leggett -model
Thermal and quantum noise
Shot noise: effective charge
Noise in electric circuits
Symmetrization and frequency dependence
Effect of noise in small systems
Full counting statistics
response theory (if time allows)
Derivation of the fluctuation-dissipation theorem
Connection to the measurement theory
Advanced topics (if time allows)
Datta: Electron Transport in Mesoscopic Systems
T. Dittrich, P. Hänggi, G.-L. Ingold, B. Kramer, G. Schön, and W. Zwerger: Quantum Transport and Dissipation
Ya. A. Blanter and M. Büttiker: “Shot Noise in Mesoscopic Conductors”, Physics Reports 336, 1 (2000)
F. Giazotto, T. T. Heikkilä, A. Luukanen, A. M. Savin, and J. P. Pekola: “Electronic refrigeration: Physics and Applications”