Introduction
Lecture 1. About the lecture course [
slides]
Lecture 2. Introduction, Magnetic susceptibility; Dia-, para-, ferro- and antiferromagnetism [
slides]
Lecture 3.
Dipole-dipole interaction, Bohr-van Leeuwen theorem; Hund's rules, Spin-orbit coupling [slides]
Magnetism of free ions
Lecture 4.
Hund's rules, Spin-orbit coupling; Atomic diamagnetism [slides]Lecture 5.1
Van Vleck paramagnetism [slides]
Non-interacting ions in a crystal
Lecture 5.2
Spherical and cubic harmonics. Crystal-field splitting [slides]Lecture 6. Application of group theory to the crystal-field problems
[slides]Lecture 7. Jahn-Teller effect
[slides]Lecture 8. Hund's rules breaking. Spin-state transitions. Quenching of the orbital moment
[slides]Lecture 9. Curie law. Paramagnetism of 3d transition metals compounds
[slides]
Correlation effects in solids
Lecture 10. Second quantization
[slides]Lecture 11. Strong electronic correlations, Mott insulators, Hubbard model
[slides]Lecture 12. Different types of Hubbard models, approximate solutions of Hubbard model, Stoner model
[slides]Lecture 13. Mean-field approximation for Hubbard model
[slides]
Heisenberg model
Lecture 14. Heisenberg model and its derivation.
[slides]Lecture 15. Other spin models. Connection between Heisenberg and Hubbard models. GKA rules.
[slides]Lecture 16. Superexchange, double exchange
[slides]
Different methods to solve Heisenberg model
Lecture 17. Magnetic spirals, Luttinger-Tisza method
[slides]Lecture 18. Mean-field approximation for Heisenberg model
[slides]Lecture 19. Spin-wave theory for FM. Mermin-Wagner theorem
[slides]Lecture 20. Spin-wave theory for AFM
[slides]
Low dimensional magnetism
Lecture 21. Dimers. Spin gap
[slides]