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402-0532-50L 6 Credits DR , MSC D-MATL , D-PHYS

Quantum Solid State Magnetism II

Does not take place this semester.
VVZ CR n/a

Last Updated: 2026-06-03 00:14:17

Abstract

This course covers the modern developments and problems in the field of solid state magnetism. It has the special emphasis on the phenomena that go beyond semiclassical approximation, such as quantum paramagnets, spin liquids and magnetic frustration. The course is aimed at both the experimentalists and theorists, and the theoretical concepts are balanced by the experimental data.

Objective

Learn the modern approach to the complex magnetic phases of matter and the transitions between them. A number of theoretical approaches that go beyond the linear spin wave theory will be discussed during the course, and an overview of the experimental status quo will be given.

Content

- Phase transitions in the magnetic matter. Classical and quantum criticality. Consequences of broken symmetries for the spectral properties. Absence of order in the low-dimensional systems. Berezinskii-Kosterlitz-Thouless transition and its relevance to “layered” magnets. - Failures of linear spin wave theory. Spin wave decays. Antiferromagnets as bosonic systems. Gapped “quantum paramagnets” and their phase diagrams. Extended spin wave theory. Magnetic “Bose-Einstein condensation”. - Spin systems in one dimension: XY, Ising and Heisenberg model. Lieb-Schultz-Mattis theorem. Tomonaga-Luttinger liquid description of the XXZ spin chains. Spin ladders and Haldane chains. Critical points in one dimension and generalized phase diagram. - Effects of disorder in magnets. Harris criterion. “Spin islands” in depleted gapped magnets. - Introduction into magnetic frustration. Order-from-disorder phenomena and triangular lattice in the magnetic field. Frustrated chain and frustrated square lattice models. Exotic magnetic states in two dimensions.

Resources

Lecture Notes

A comprehensive textbook-like script is provided.

Literature

In principle, the script is sufficient as study material. Additional reading: -"Interacting Electrons and Quantum Magnetism" by A. Auerbach -"Basic Aspects of The Quantum Theory of Solids " by D. Khomskii -"Quantum Physics in One Dimension" by T. Giamarchi -"Quantum Theory of Magnetism: Magnetic properties of Materials" by R. M. White -"Frustrated Spin Systems" ed. H. T. Diep

General Information

Language
English
Levels
DR , MSC
Frequency
Every two years

Examination

Type
session examination
Mode
oral 30 minutes

Course Components

Type Title Time & Place Hours
lecture Quantum Solid State Magnetism II
Does not take place this semester.
No time listed 2 h weekly
exercise Quantum Solid State Magnetism II
Does not take place this semester.
No time listed 1 h weekly

Offered In