The goal of this course is to introduce the students to the basic concepts in Condensed Matter Physics and to help them to learn to read and understand research papers. The focus of this course on the aspects of interacting quantum many-body systems. The course contents are organized in two parts:
I. Quantum Theory of Many-Body Systems:
- Refresher on the basic notions of Quantum Mechanics
- Many-body QM: Second Quantization Method
- Perturbation Theory in many-body systems: Green’s function method
- Linear Response theory (Kubo formula)
II. Mean-field approaches to Many-Body Systems:
- Fermi liquid Theory
- Superfluidity;
- Superconductivity;
- Landau theory of phase transitions;
- Magnetism;
- Mott insulators;
- Selected topics in topological materials (Topological Insulators, Majorana fermions, etc).
Target group: Graduate students intending to pursue research in experimental condensed matter.
Prerequisites: Undergraduate quantum mechanics, some exposure to Solid State physics.
Evaluation: At the end of the course students will be asked to present in a seminar format the assigned one (experimental) paper illustrating the material covered during the course. Grades will be assigned based on the presentations made by the students.
Teaching format: Lectures.
ECTS: 6 Year: 2025
Track segment(s):
Elective
Teacher(s):
Zhanybek Alpichshev
Teaching assistant(s):
- Trainer/in: Zhanybek Alpichshev