Lecture: Theory of Quantum Magnetism
The lecture takes place on Monday from 12:00-14:00 in room 1.3.48. The first lecture will be given on October 17. Additionally, there will be exercises every two weeks, starting on Friday, October 28 from 8:00-10:00 in room 1.1.53.
The course addresses master, PhD students, postdocs, etc. It covers various fundamental aspects of quantum magnetism which lead to an understanding of magnetic materials on a microscopic level. I will first give a brief introduction into different types of magnetic materials such as diamagnets, paramagnets, and (anti)ferromagnets, with a specific focus on strongly correlated systems. I will then discuss in detail how different types of spin interactions arise and develop microscopic models for magnetic materials. Thereby, I will consider Heisenberg and Ising spin models and discuss theoretical approaches such as mean-field theory and spin-wave theory to describe their phase diagrams and spin excitations. I will also talk about fractionalization in 1D, spin vortices and Kosterlitz-Thouless transitions in XY models as well as theories for itinerant quantum magnets.