Wednesdays 11:00-12:30 SE2

Thursdays 10:00-11:30 SE1

Summary sheets.

a) Topological insulators. Quantization of the Hall conductivity and edge states.

Gabel.

(See this link for a starting point.)

b) Luttinger Liquids. Exact solution for forward scattering. Breakdown of the fermi-liquid.

Posske

(References. Mahan (Many-Particle Physics), T. Giamarchi (Quantum physics in one dimension), Emery Rev. Article. )

c) Hubbard and Heisenberg models.

From Hubbard to Heisenberg.

SDW mean-field theory of the Hubbard model on the Honeycomb lattice. (Seisinger)

Spin wave theory of the Heisenberg model on hypercubic lattices. (Sprengel)

Exact diagonalization (Lancsoz) for the Hubbard model. (Otterbein)

d) Density functional theory. (Foohs)