PřF:F8302 Collective and cooperative phe - Course Information
F8302 Collective and cooperative phenomena
Faculty of ScienceSpring 2020
- Extent and Intensity
- 2/1/0. 2 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- doc. Mgr. Jiří Chaloupka, Ph.D. (lecturer)
prof. Mgr. Dominik Munzar, Dr. (lecturer)
doc. Mgr. Jiří Chaloupka, Ph.D. (seminar tutor)
prof. Mgr. Dominik Munzar, Dr. (seminar tutor) - Guaranteed by
- prof. Mgr. Dominik Munzar, Dr.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: prof. Mgr. Dominik Munzar, Dr.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Wed 8:00–9:50 Fcom,01034
- Timetable of Seminar Groups:
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Course objectives
- Not all the phenomena encountered in the condensed matter physics can be described in terms of models involving independent fermions subject to a mean-field. Such phenomena, to which the interactions are essential and the state of the system is qualitatively different from that of a non-interacting systems, are called collective and cooperative phenomena. In the course, several important collective and cooperative phenomena will be discussed. After a general introduction to the field, a quantitative description of the condensates will be developed, using the example of Bose-Einstein condensates and superfluid helium. The main emphasis will be put on superconductivity, including high-temperature superconductors and selected applications of superconductivity. In the final part of the course, the origin of magnetic ordering in materials will be explained.
- Learning outcomes
- At the end of the course students should be able to:
- understand the basic concepts of this field of physics such as the broken symmetry or the order parameter;
- solve simple related problems, in particular from the field of superconductivity;
- compare the results of model calculations with experimental data and/or analyze the data in terms of the models. - Syllabus
- 1. Introduction.
- (a) Collective and cooperative phenomena in condensed matter physics. (b) Concept of broken symmetry.
- 2. Bose-Einstein condensation and superfluidity.
- (a) Theoretical foundations. (b) Bose-Einstein condensation in atomic gases. (c) Superfluidity in liquid helium.
- 3. Superconductivity.
- (a) Survey of experimental observations. (b) Thermodynamics of superconductors, London equations, fundamentals of the Ginzburg-Landau theory. (c) Fundamentals of the BCS theory. (d) Josephson phenomena in superconductors and in liquid He, quantum interference on a macroscopic scale. (e) High-temperature superconductors. (f) Selected applications of superconductivity.
- 4. Magnetic interactions in solids.
- (a) Solid state Hamiltonian in the Wannier representation, approximate Hamiltonians: the Hubbard Hamiltonian, exchange terms connected with the first Hund's rule. (b) Derivation of the Heisenberg Hamiltonian for insulators. (c) Magnetism withoul localized spins.
- Literature
- Teaching methods
- Lectures. Class seminars with solutions of typical problems presented and discussed.
- Assessment methods
- Active presence at the class exercises, including solution of a certain amount of problems (2-3) by the students, is required. During the colloquium, the topics of the course are discussed, in order to assess the student's knowledge, the evaluation reflects the degree of understanding.
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually.
- Enrolment Statistics (Spring 2020, recent)
- Permalink: https://is.muni.cz/course/sci/spring2020/F8302