This course focuses on quantum transport of electrons with electron spins in materials at low temperatures. While high-quality semiconductors will be considered as typical materials, quantum transport in other materials will be introduced as well. Quantum transport, such as in electrical transport, is attractive for studying non-equilibrium phenomena, where the system can be continuously varied from a nearly thermal equilibrium condition to a highly non-equilibrium situation. The lecture is organized to focus on interference effects, Coulomb interactions, spin-orbit interactions, and so on, in low-dimensional systems. Some exercises will be provided for each section.
At the end of this course, students will be able to:
- Understand fundamental laws in quantum transport
- Understand basic transport characteristics of low-dimensional electron systems.
- Understand intriguing quantum transport associated with interactions.
Quantum transport phenomena, low-dimensional electron systems, quanyum Hall effect, quantum dot
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Sufficient understanding will be reached by providing a lecture and an exercise for each section. The lecture includes fundamental concepts and laws as well as up-to-date research topics. Students will be asked to submit reports for the exercises.
Course schedule | Required learning | |
---|---|---|
Class 1 | The objective of the course and overview of quantum transport. | Understand the overview of quantum transport. |
Class 2 | Band structure and symmetry | Exercises (subject to change) |
Class 3 | Single-electron transport and zero-dimensional electron systems | Exercises (subject to change) |
Class 4 | Quantum transport based on the density matrix | Exercises (subject to change) |
Class 5 | Quantum transport based on the scattering theory | Exercises (subject to change) |
Class 6 | Quantum Hall effects | Exercises (subject to change) |
Class 7 | Quantum interference effects | Exercises (subject to change) |
Class 8 | Review | Review |
Lecture Note will be provided
T. T. Heikkila, The Physics of Nanoelectronics, Transport and Fluctuation Phenomena at Low temperatures, Oxford Master Series in Condensed Matter Physics, ISBN-13: 978-0199673490
Yuli V. Nazarov and Yaroslav M. Blanter, Quantum Transport: Introduction to Nanoscience, Cambridge University Press, ISBN-13: 978-0521832465
Reports
No requirements.