Theory of Quantum Magnetism (T) - physics7507
| Course | Theory of Quantum Magnetism (T) |
|---|---|
| Course No. | physics7507 |
| Category | Type | Language | Teaching hours | CP | Semester |
|---|---|---|---|---|---|
| Elective | Lecture with exercises | English | 2+1 | 4 | ST |
Preparation: Quantum mechanics, Thermodynamics and Statistics, Quantum Field Theory
Form of Testing and Examination:
(1) form of examination: written or oral
(2) requirement for participation in examination: successful participation in exercises
Length of Course: 1 semester
Aims of the Course: The goal of the course is to introduce students to advanced concepts in the theory of magnetism.
Contents of the Course: Phenomenological theory of magnetism, spin exchange, ferro and anti-ferro magnetism, classically frustrated systems (Kagome lattice). Representations of spin algebras: Dyson-Maleev, Holstein, Primakov, Schwinger bosons, spin coherent states, spin path integral, non-linear sigma models, quantum phase transition, Bereshinski-Kosterlitz-Thouless transition, Haldane gap, frustrated magnets, valence bond states, spin liquids, quantum Heisenberg model (two dimensional, Kagome, pyrochlore lattice) Exactly solvable models (transfer matrix) Ising model. Exactly solvable models (Bethe Ansatz): XXZ model, Kondo model. Open problems in quantum magnetism.
Recommended Literature: Will be announced in the first lecture