Learning objectives
The aim of this course is to provide the basic theoretical knowledge on several aspects in quantum magnetism and on the BCS theory of Superconductivity.
Prerequisites
Basic notions in Physics of Matter, Quantum Mechanics and Statistical Physics are required.
Course unit content
-Crystal-field theory.
-Irreducible tensor operators.
-Direct exchange interaction-RKKY interaction-Superexchange interaction.
-Magnetic molecules-Strong exchange limit.
-Mean field theory in magnetic materials-Spin waves.
-Hubbard model-Stoner model.
-Kubo formula-Green functions.
-BCS theory of Superconductivity.
Full programme
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Bibliography
-Condensed Matter Physics by M. P. Marder, Wiley.
-Quantum Theory of Magnetism by W. Nolting and A. Ramakanth, Springer.
-Lecture Notes on Electron Correlation and Magnetism by P. Fazekas, World Scientific.
-Introduction to superconductivity by M. Tinkham, Dover Publications.
Teaching methods
Slides and numerical simulations.
Assessment methods and criteria
Oral examination
Other information
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