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.
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