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)|
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