Degrees incorporating this pedagocial element :

### Description

The aim of this course is to present all the electronic and magnetic properties of solids. These concepts will be supplemented by the in-depth courses offered in Semester 2.

**Chapter I: Drude theory of metals.**Electrical conductivity, Hall effect, thermal conductivity, Wiedemann-Franz law.**Chapter II: Dielectric materials.**Concepts of dielectric susceptibility. Polarisability, Clausius-Mossotti relation.**- Chapter III: Crystal lattice and periodicity, phonons.**Real and reciprocal lattices, Brillouin zones. Phonons, speed of sound.**Chapter IV: Optical properties of solids.**Propagation, dielectric function. Plasma frequency and plasmon modes, reflectivity of metals. Ionic solids, LST relation, polaritons.**Chapter V: Quantum free electrons: Sommerfeld theory of metals.**Fermi energy and density of states. Sommerfeld's development. Electrical and thermal conductivity. Effect of periodicity on the electronic structure: Bloch waves, Kronig-Penney model. Classification of solids (metals and insulators).**Chapter VI: Elements of classical magnetism.**Magnetic dipole. M, B, H and A variables. Magnetic susceptibility, dia- and paramagnetism. Demagnetising field, thermodynamic aspects.**- Chapter VII: Quantum origin of magnetism.**Classical diamagnetism and paramagnetism, Bohr-Van Leeuwen theorem. Spin-orbit coupling, Zeeman effect. Hund's rules. Van-Vleck, Brillouin and Pauli paramagnetism. Landau and Larmor diamagnetism.**Chapter VIII: Magnetic ordering.**Exchange interaction, Heisenberg Hamiltonian. Zoology of magnetic ordering. Ferromagnetism: Brillouin-Curie-Weiss theorem, Landau theory of ferromagnetic transition. Stoner model.**- Chapter IX: Semiconductors.**Band structure, concept of holes, effective mass, equivalent density of states. Counting of intrinsic carriers, doping, concept of compensation, Fermi level and neutrality equation.**Chapter X: Devices.**Diffusion current, conduction. PN junction, heterostructures, LEDs. MOS technology and optical detectors.

### Prerequisites

Electromagnetism and Maxwell equations, thermodynamics, basic quantum mechanics concepts (Physics bachelor course - L3).

### Bibliography

"Physique de l'état solide" par C.Kittel or "Physique des Solide" par N.Ashcroft et D.Mervin.