Università Roma Tre

Section 1 Program
Electronic properties of solids
Reminds on band structure calculation methods. Band structure of III-V and IV semiconductors. Band structures and Fermi surfaces of selected metals. Effective mass approximation. Impurity levels in doped semiconductors.
Transport properties
The Drude Model. Semiclassical equations of transport. Boltzmann equation. Electron phonon interaction. Relaxation time approximation. Electrical conductivity in the relaxation time approximation. Thermoelectric power and thermal conductivity. Drift and diffusion currents. Generation and recombination of electron-hole pairs in semiconductors. Continuity equation. Recombination times and diffusion length. Current voltage characteristics of the p-n junction.

Optical properties
Maxwell Equations in solids. Complex Dielectric Constant. Absorption and reflection coefficients. Kramers Kronig Relations. Lorentz Oscillator. The Drude theory of the optical properties of metals. Optical properties of semiconductors and insulators. Direct interband transitions and critical points. Optical constants of Ge and Graphite. Absorption from impurity levels. Exciton effects. Indirect phonon-assisted transitions. Spontaneous and stimulated Emission, Photoluminescence, Electroluminesce, optical gain. Semiconductor diode laser.

Magnetic properties of matter.
Energy levels and density of states of a free electron gas in a magnetic field. Filling of Landau levels as a function of the magnetic field. Magneto-transport.
Quantum mechanical treatment of magnetic susceptibility. Pauli paramagnetism. Magnetic susceptibility of closed-shell systems. Permanent magnetic dipoles in atoms and ions with partially filled shells. Paramagnetism of localized magnetic moments. Curie law. Van Vleck paramagnetism, Pauli paramagnetism and Landau diamagnetism. Magnetic ordering in crystals. Mean field theory of ferromagnetism: Weiss model. Curie-Weiss law. Anti-Ferromagnetism. Exchange interaction and Heisemberg model. Microscopic origin of the coupling between localized magnetic moments. Dipolar interaction and magnetic domains.

Ashcroft-Mermin: "Solid State Physics"
Grosso-Pastori-Parravicini: "Solid State Physics"
Datta s.: Electronic transport in mesoscopic systems [Cambridge university press ]
Davies j. H. : The physics of low dimensional semiconductors [Cambridge university press)