Many Electron Theory

Many Body Perturbation Theory (lecture note)

Topics to cover: Green functions, Kubo formula, Landau's Fermi liquid theory (quasi-particle), collective modes, optical conductivity and sum rules.

One Dimensional Interacting Physics (lecture note)

Topics to cover: Bosonization algebra (constructive approach), Tomonaga-Luttinger liquid theory, applications (e.g. tunneling conductance, point contact).

Topological Phase Transition in 2D (lecture note)

Topics to cover: Mermin-Wagner theorem, Kosterlitz-Thouless transition, 2D superconductivity.