2024 Faculty Courses School of Science Department of Physics Graduate major in Physics
Special Lectures in Physics V
- Academic unit or major
- Graduate major in Physics
- Instructor(s)
- Norio Kawakami
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - Intensive
- Class
- -
- Course Code
- PHY.T534
- Number of credits
- 100
- Course offered
- 2024
- Offered quarter
- 3Q
- Syllabus updated
- Mar 14, 2025
- Language
- English
Syllabus
Course overview and goals
"Physics of strongly correlated electron systems"
Lecturer: Prof. Norio Kawakami (Ritsumeikan University)
In this lecture, I will provide an introductory course on the theoretical treatment of strongly correlated electron systems, one of the central issues in condensed matter physics. First, I will give an overview of the Kondo effect, a typical example of many-body effects that manifests itself in various quantum phenomena. As an application of the Kondo effect to itinerant systems, I will discuss the dynamical mean field theory, which is widely used to analyze strongly correlated phenomena, and discuss the Mott transition. I will then turn to one-dimensional correlated electron systems, a prototypical example with large quantum fluctuations, and explain the exact solution based on Bethe ansatz and conformal field theory that describes the universal properties at the low energy region. Using these methods, I will discuss the Tomonaga-Luttinger liquid in one-dimensional systems, and explain its applications to experiments. If time allows, I will also touch on topological phenomena in strongly correlated systems as a recent topic.
Course description and aims
The master course students are expected to fully understand the contents at the standard level.
The students are expected to solve the standard problems provided by the lecturer.
Keywords
correlated systems, Kondo effect, low-dimensional electron systems, conformal field theory, exact solution
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
The lecture is given in a form of intensive course in Japanese.
12/3 (Tue) 13:00-17:30 (including breaks)
12/4 (Wed) 13:00-17:30 (including breaks)
12/5 (Thu) 13:00-17:30 (including breaks)
Place: TBA
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Introduction to correlated systems | The lecturer will instruct during classes. |
| Class 2 | Kondo effect I | |
| Class 3 | Kondo effect II | |
| Class 4 | Dynamical mean field theory | |
| Class 5 | Exact solution in 1D systems | |
| Class 6 | Conformal field theory | |
| Class 7 | Tomonaga-Luttinger liquid | |
| Class 8 | CFT and Tomonaga-Luttinger liquid | |
| Class 9 | Some topics in 1D correlated systems |
Study advice (preparation and review)
Textbook(s)
None.
Reference books, course materials, etc.
[1] “New Edition: Physics of Electrons in Solids (Japanese)”, H. Shiba (Morikita)
[2] “Physics of Correlated Electrons (Japanese)”, H. Shiba (Iwanami)
[3] “Conformal Field Theory and One-Dimensional Quantum Systems (Japanese)”, N. Kawakami and S.-K. Yang (Iwanami)
Evaluation methods and criteria
Evaluated by questions and discussions during classes and a report related to lectures.
Related courses
- PHY.Q433 ： Field Theory I
- PHY.Q438 ： Quantum Mechanics of Many-Body Systems
- PHY.S440 ： Statistical Mechanics III
- PHY.C450 ： Quantum Theory of Electrons in Solids
Prerequisites
Evaluated by questions and discussions during classes and a report related to lectures.