▶Japanese
Post to SNS
- Home
- > School of Science
- > Graduate major in Physics
- > Advanced Special Lectures in Physics XXIV
- School of Science
-
School of Engineering
- Undergraduate major in Mechanical Engineering
- Undergraduate major in Systems and Control Engineering
- Undergraduate major in Electrical and Electronic Engineering
- Undergraduate major in Information and Communications Engineering
- Undergraduate major in Industrial Engineering and Economics
- Common courses
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
- School of Environment and Society
- 工学院，物質理工学院，環境・社会理工学院共通科目
- Liberal arts and basic science courses
- First-Year Courses
- School of Science
- School of Engineering
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
-
School of Environment and Society
- Department of Architecture and Building Engineering
- Department of Civil and Environmental Engineering
- Department of Transdisciplinary Science and Engineering
- Department of Social and Human Sciences
- Department of Innovation Science
- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Graduate major in Physics
- Instructor(s)
- Ryuu Shinsei
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- -
- Group
- -
- Course number
- PHY.P663
- Credits
- 1
- Academic year
- 2019
- Offered quarter
- 2Q
- Syllabus updated
- 2019/6/6
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
-
Course description and aims
"Physics of topological phases"
Lecturer: Shinsei Ryu (University of Chicago)
In these lectures, we will discuss topological phases of condensed matter -- these are the phases which go beyond the symmetry-breaking paradigm of phases of matter. Typical examples include integer and fractional quantum Hall systems, the latter of which have topological orders and support exotic excitations called anyons. More recently, topological insulators have been a topic of intense research and recognized as an example of symmetry-protected topological phases of matter. We will go through basic features of these topological phases of various kinds.
Student learning outcomes
The doctor course students are expected to fully understand the contents at the advanced level.
The students are expected to solve the advanced problems provided by the lecturer.
Keywords
Topological phases, quantum anomalies
Competencies that will be developed
| ✔ 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 English.
June 26 (Wed) 10:00-11:30, 13:30-15:00, 15:30-17:00
June 28 (Fri) 10:00-11:30, 13:30-15:00, 15:30-17:00
July 1 (Mon) 10:00-11:30, 13:30-15:00, 15:30-17:00
W531 (Tokyo Tech Lecture Theatre)
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Introduction, integer quantum Hall effect | The lecturer will instruct during classes. |
| Class 2 | Topological invariant and effective field theories | |
| Class 3 | Edge states, bulk-boundary correspondence, quantum anomalies | |
| Class 4 | Fractional quantum Hall effect, Z2 gauge theory | |
| Class 5 | Chern-Simons theories | |
| Class 6 | Basics of topological phases of matter | |
| Class 7 | Topological insulators, SSH model, Haldane phase | |
| Class 8 | Bulk-boundary correspondence and quantum anomalies in SPT phases | |
| Class 9 | Gauging and defects in topological phases |
Textbook(s)
None.
Reference books, course materials, etc.
X-G. Wen, “Quantum Field Theory of Many-Body Systems” (Oxford 2004)
E. Fradkin, “Field Theories of Condensed Matter Physics” (Cambridge 2013)
Assessment criteria and methods
Evaluated by questions during classes and a report related to lectures.
Related courses
- PHY.C341 ： Condensed Matter Physics I
- PHY.C342 ： Condensed Matter Physics II
- PHY.Q433 ： Field Theory I
- PHY.Q434 ： Field Theory II
- PHY.Q438 ： Quantum Mechanics of Many-Body Systems
Prerequisites (i.e., required knowledge, skills, courses, etc.)
None.
