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)|
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
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