Solid State Theory (PH1001)
Winter 2019/20

Lecturer: Michael Knap
Teaching Assistants: Annabelle Bohrdt, Johannes Feldmeier, Elisabeth Wybo

Lectures (PH HS3):
Tuesday 10:00 - 12:00
Thursday 10:00 - 12:00 

Outline (Tentative):


Symmetries and structure of condensed matter 
-Phases of matter
-Scattering and static structure factor

Lattice vibrations Phonons and thermodynamics 
-Theory of phonons and specific heat
-Elastic neutron scattering, dynamic structure factor
-Linear response, fluctuation-dissipation relations

Electrons and conduction
-Bloch theorem, Wannier functions, band theory
-Metals and insulators, para- and diamagnetism
-Semiclassical dynamics, Bloch oscillations, Drude theory, Boltzmann equations 
-Quantum Hall: Edge states, Disorder, Topology, TKNN

Many particle effects
-Approaching the many-body problem
-Second quantization
-Non-Interacting electron gas, Lindhard function
-Fermi liquid theory
-The interacting electron gas, Hartree-Fock theory
-Random phase approximation, screening, Collective excitations
-Electron-Phonon interaction, BCS-theory of superconductivity 
-Hubbard model, Heisenberg model, Jordan-Wigner transformation
-Lieb-Schultz-Mattis, spin wave theory, tJ model, Nakaoka ferromagnetism, Mermin-Wagner
-Anderson localization in disordered quantum systems



S. Simon, Solid State Basics
P.M. Chaikin and T.C. Lubensky, Principles of Condensed Matter Physics
N.W. Ashcroft and N.D. Mermin, Solid State Physics