| Individual course details | ||||||||||
| Study programme | Master Studies in Physics | |||||||||
| Chosen research area (module) | Theoretical and Experimental Physics | |||||||||
| Nature and level of studies | Graduate Academic Studies | |||||||||
| Name of the course | Advanced Course in Solid State Physics | |||||||||
| Professor (lectures) | Djordje Spasojevic / Mihajlo Vanevic | |||||||||
| Professor/associate (examples/practical) | Djordje Spasojevic / Mihajlo Vanevic | |||||||||
| Professor/associate (additional) | Djordje Spasojevic / Mihajlo Vanevic | |||||||||
| ECTS | 10 | Status (required/elective) | optional | |||||||
| Access requirements | Quantum Statistical Physics, Condensed Matter Physics B / Theory of Condensed Matter | |||||||||
| Aims of the course | Introduction to the physics of superconductivity and magnetism | |||||||||
| Learning outcomes | Qualifying for the scientific research. | |||||||||
| Contents of the course | ||||||||||
| Lectures | Superconductivity:
Historical overview and phenomenology. London and Ginzburg-Landau theory.
Microscopic Bardeen-Cooper-Schrieffer (BCS) theory: Cooper pairs,
electron-phonon interaction as a pairing mechanism. Variational approach.
Solution by canonical transformation. Magnetic properties of type II
superconductors: vortices and critical current. Electron tunneling and
Josephson effect. Quantum interferometers (SQUIDs) and applications. Basic
information on the high-temperature superconductivity of cuprates. Magnetism: Interaction of solids with magnetic field. Larmor diamagnetism. Hund's rules. Van-Vleck paramagnetism. Curie's law for free ions. Curie's law in solids. Adiabatic demagnetization. Pauli paramagnetism. Conduction electron diamagnetism. Nuclear magnetic resonance. Electron diamagnetism in doped semiconductors. Electrostatic origin of magnetic interactions. Magnetic properties of two-electron system. Failure of the independent electron approximation. Spin Hamiltonians. Direct, super, indirect and itinerant exchange. Magnetic interactions in the free electron gas. Hubbard model. Local moments. Kondo theory of the resistance minimum. Types of magnetic structure. Observation of magnetic structure. Thermodynamic properties at the onset of magnetic ordering. Ground state of the Heisenberg ferro- and antiferro-magnet. Low-temperature properties (spin waves). High temperature properties: corrections to Curie's law. Analysis of the critical point. Mean field theory. Effects of diporal interactions: domains and demagnetization factors. |
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| Examples/ practical classes | ||||||||||
| Recommended books | ||||||||||
| 1 | M. Tinkham, Introduction to Superconductivity (McGraw-Hill, 1996) | |||||||||
| 2 | V. V. Schmidt, The Physics of Superconductivity (Springer, 1997) | |||||||||
| 3 | J. B. Ketterson and S. N. Song, Superconductivity (Cambridge, 1999) | |||||||||
| 4 | N. W. Ashcroft & N. D. Mermin, Solid State Physics (Harcourt Brace College Publishers, 1976). | |||||||||
| 5 | D. Mattis, The theory of magnetism I & II (Springer) | |||||||||
| Number of classes (weekly) | ||||||||||
| Lectures | Examples&practicals | Student project | Additional | |||||||
| 2 | 2 | 1 | ||||||||
| Teaching and learning methods | Lectures and tutorials, problem solving, seminar. | |||||||||
| Assessment (maximal 100) | ||||||||||
| assesed coursework | mark | examination | mark | |||||||
| coursework | 10 | written examination | ||||||||
| practicals | oral examination | 50 | ||||||||
| papers | ||||||||||
| presentations | 40 | |||||||||