Transport in Mesoscopic Systems
Exercises by Z. Y. Lai
Place and Time
Lectures: Friday 11-13 (HS, IAP)
Tutorials: To be announced in the first lecture
Aims of the Lecture
The aims of this lecture are:
- To introduce students to the theoretical aspects of transport phenomena in solids and mesoscopic systems.
- To introduce the basic concepts of quantum chaos theory as applied to transport phenomena.
- To introduce important analytical methods for treating transport problems, with emphasis on semiclassical methods.
Contents of the Lecture
A tentative list of the topics to be covered in this lecture is as follows:
- Linear response theory
- Disordered and ballistic systems
- Semiclassical approximation
- Chaos and integrability in classical and quantum mechanics
- Elements of random matrix theory
- Specific problems of mesoscopic transport (weak localization, universal conductance fluctuations, shot noise, spin dependent transport, etc.)
Homework and Exercise Sessions
The specific format of the exercise sessions will be announced in the first lecture and subsequently updated here. You will also be able to download the exercise sheets here when they become available.
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Exercise 1 |
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Exercise 2 |
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Exercise 3 |
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Exercise 4 |
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Exercise 5 |
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Exercise 6 |
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Exercise 7 |
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Exercise 8 |
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Exercise 9 |
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Exercise 10 |
Recommended Literature
- K. Richter, Semiclassical Theory of Mesoscopic Quantum Systems, Springer, 2000. (Also available here)
- M. Brack, R. K. Bhaduri, Semiclassical Physics, Westview Press, 2003.
- S. Datta, Electronic Transport in Mesoscopic Systems, Cambrige University Press, 1995.
- M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics, Springer, New York, 1990.
- F. Haake, Quantum Signatures of Chaos, Springer, 2001
- M. L. Mehta, Random Matrices, Elsevier, 2004
- J. Imry, Introduction to Mesoscopic Physics, Oxford University Press, 2004