Module version of SS 2022 (current)
There are historic module descriptions of this module. A module description is valid until replaced by a newer one.
Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.
|available module versions|
|SS 2022||SS 2021|
PH2310 is a semester module in English language at Master’s level which is offered in summer semester.
This Module is included in the following catalogues within the study programs in physics.
- Specific catalogue of special courses for condensed matter physics
- Focus Area Theoretical Quantum Science & Technology in M.Sc. Quantum Science & Technology
- Complementary catalogue of special courses for nuclear, particle, and astrophysics
- Complementary catalogue of special courses for Biophysics
- Complementary catalogue of special courses for Applied and Engineering Physics
- Specialization Modules in Elite-Master Program Theoretical and Mathematical Physics (TMP)
If not stated otherwise for export to a non-physics program the student workload is given in the following table.
|Total workload||Contact hours||Credits (ECTS)|
|300 h||90 h||10 CP|
Responsible coordinator of the module PH2310 is Johannes Knolle.
Content, Learning Outcome and Preconditions
The following topics will be covered in the module:
- Magnetic moments and exchange interactions
- Types of magnetic order and spin waves
- Topological magnon insulators
- Magnetism in metals
- The Hubbard model: Stoner FM and spin density wave AFM
- Kondo effect, heavy fermions and Doniach's phase diagram
- Frustrated Magnetism
- Classical and quantum order by disorder
- Quantum spin liquids and Fractionalization
- Kitaev spin liquids and candidate materials
After successful completion of the module the students are able to...
- ...know and classify different types of magnetism
- ...perform spin wave calculations and calculate spin structure factors
- ...understand the different contributions to the magnetic response of metals
- ...perform calculations for the FM and AFM phases of the Hubbard model
- ...understand the origin of magnetic frustration, non-bipartite lattices and competing interactions
- ...understand quantum order by disorder
- ...perform parton mean field calculation for describing quantum spin liquids
- ...know the origin of spin fractionalization and its experimental consequences
- ...understand the Majorana fermion solution of Kitaev models
- ...know about candidate materials and experimental signatures of quantum magnets
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
|VO||4||Quantum Magnetism||Knolle, J.||
Tue, 08:00–10:00, PH 3344
Thu, 12:00–14:00, PH 3344
|UE||2||Exercise to Quantum Magnetism||
Responsible/Coordination: Knolle, J.
|dates in groups|
Learning and Teaching Methods
The following books and advanced reviews will be used:
- A. Auerbach: Interacting Electrons and Quantum Magnetism
- P. Fazekas: Lecture Notes on Electron Correlation and Magnetism
- S. Blundell: Magnetism in Condensed Matter
- P. Coleman: Introduction to Many-Body Physics
- H.T. Diep (Ed.): Frustrated Spin Systems
- C. Lacroix et al. (Eds.): Introduction to Frustrated Magnetism
- X.-G. Wen: Quantum Field Theory of Many-Body Systems
- Knolle and Moessner: A Field Guide to Spin Liquids
- Savary and Balents: Quantum Spin Liquids
Description of exams and course work
There will be an oral exam of 30 minutes duration. Therein the achievement of the competencies given in section learning outcome is tested exemplarily at least to the given cognition level using comprehension questions and sample calculations.
For example an assignment in the exam might be:
- Explain the basics of parton descriptions of quantum spin liquids and its relation to spin fractionalization
- Explain the basic idea for quantum order by disorder and how to treat it microscopically
- Explain the SDW phase of the half filled Hubbard model and its excitations
Participation in the exercise classes is strongly recommended since the exercises prepare for the problems of the exam and rehearse the specific competencies.
The exam may be repeated at the end of the semester.