This course focuses on some topics in the condensed matter physics. The basic methods applicable to interacting electron systems are explained and the magnetism in the system is explained. Experimental facts for superconductivity are reviewed and BCS theory is explained. Furthermore, the physics of the spin current and topological insulators are explained. Through this course, students will understand various interesting physical phenomena in crystals, and how they are observed in experiments.
By the end of this course, students will be able to:
1) explain the magnetism and superconductivity characteristic of interacting electron systems
2) explain the spin current and topological insulator in the system with spin-orbit interaction
magnetism, superconductivity, spin current, topological insulator
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
To prepare for class, students should read the course schedule section and check what topics will be covered. Required learning should be completed outside of the classroom for preparation and review purposes.
Course schedule | Required learning | |
---|---|---|
Class 1 | electron correlations and Hartree approximation | Understand electron correlations |
Class 2 | Hartree-Fock approximation and exchange interaction | Understand the treatment of electron correlations |
Class 3 | Ferromagnetic metal | Understand the mechanism of the ferromagnetic metal |
Class 4 | local magnetic moment and antiferromagnetism | Understand the magnetism |
Class 5 | Superconductivity | Understand the properties of the superconductivity |
Class 6 | Cooper pairs | Understand the Cooper pairs |
Class 7 | BCS model | Derive the BCS model |
Class 8 | Basics of Berry curvature | Understand gauge fields and Berry curvature |
Class 9 | Quantum Hall effect I | Understand quantization of Hall conductivity and chiral edge states |
Class 10 | Quantum Hall effect II | Understand behaviors of electrons in a magnetic field and Landau levels |
Class 11 | Physics of spin current | Understand physics of spin current and spin Hall effect |
Class 12 | Topological insulator I | Understand time-reversal symmetry and spin-orbit coupling |
Class 13 | Topological insulator II | Understand quantum spin Hall effect and helical edge states |
Class 14 | Topological semimetals | Understand topological semimetals |
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.
Text book specified by the instructor.
Textbook specified by the instructors.
Students’ course scores are based on assignments.
Knowledge of basic condensed matter physics in "PHY.C340: Basic Solid State Physics" is a prerequisite.