Course Identification

This course will mostly deal with the electronic properties of condensed matter systems. Subjects will include:

1. Classical and semi-classical transport theories - linear response functions, Drude Theory, the Boltzmann equation, electron-electron scattering time, Kramers-Kronig relations.
2. Quantum mechanical linear response theory - Kubo formulas, the fluctuation-dissipation theorem, transport in a magnetic field - Shubnikov-de Haas oscillations, quantized Hall conductivity.
3. Band structure effects - Basic knowledge of chemistry for physicists, e.g. the relation between molecule orbitals and Bloch bands, Symmetries,  Graphene, Hands-on density-functional theory calculations.
4. Topological states of matter. Topological insulators, Weyl semimetals, Berry phase, and Surface states
5. Semiconductors - band structure, doping theory, p-n junctions, and transistors
6. Quantum mechanical effect on transport - localization and interaction, mesoscopic physics.

Upon successful completion of this course students should be able to:

Demonstrate knowledge of electronic band structure and transport in metals, semiconductors, and insulators, within the classical, semi-classical, and quantum-mechanical frameworks.