Theory of conduction in metals: Onsager relations, Boltzmann equation. Magnetic interactions: Exchange, Superexchange and DM. Hubbard model. Electron-electron interaction. Lindhard theory and Friedel oscillations. Magnetic perturbations: Kondo effect and RKKY interaction. Density functional: HK theorem and KS equation. Froelich Hamiltonian. Khon anomaly and Peierls instability. Superconductivity: Cooper pairs, BCS Hamiltonian. Josephson effects.
C. Kittel
"Introduction to Solid State Physics", "Quantum theory of Solids"
J. Solyom
"Fundamentals of the Physics of Solid"
Learning Objectives
In this course we will complete what we started studying in the Solid State Physics course. After demonstrating the general properties of transport, we will look at the interactions underlying the behavior of the various magnetic systems. We will develop Lindhard's theory, and the functional density theory. Using the concept of effective Hamiltonian and also resorting to the formalism of the second quantization we will see many phenomena arising from the electron-electron interaction. With the same techniques we will see the implications of the electron-phonon interaction with particular reference to superconductivity. We will conclude with the properties of the Josephson junctions.