F8302 Collective and cooperative phenomena

Faculty of Science
Spring 2023
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
doc. Mgr. Jiří Chaloupka, Ph.D.
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 17:00–18:50 Kontaktujte učitele
  • Timetable of Seminar Groups:
F8302/01: Wed 19:00–19:50 Kontaktujte učitele
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
  • ANNETT, James F. Superconductivity, superfluids, and condensates. 1st pub. Oxford: Oxford University Press, 2004, xi, 186. ISBN 0198507569. info
  • BLUNDELL, Stephen. Magnetism in condensed matter. Oxford: Oxford University Press, 2001, xii, 238. ISBN 0198505922. info
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.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2023, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2023/F8302