Theoretical Solid State Physics (PH1001)
Winter 2017/18
Frank Pollmann
Lectures (PH HS3):
Tuesday 10:00 - 12:00
Thursday 10:00 - 12:00
Outline:
Note: All files are password protected
Introduction [PDF]
Symmetries and structure of condensed matter
-Phases and broken symmetries [PDF]
-Determination of structure by x-ray diffraction [PDF]
Lattice vibrations Phonons and thermodynamics
-Theory of phonons and specific heat [PDF]
-Anharmonic effects and melting, Landau theory [PDF]
-Linear response, neutron scattering, dynamic structure factor [PDF]
Electrons
-Bloch theorem, Wannier functions, band theory [PDF]
-Thermodynamics, dia- and paramagnetism [PDF]
-Semiclassical dynamics, Bloch oscillations, Boltzmann equations [PDF]
-Quantum Hall: Edge states, Disorder, Topology [PDF]
-Haldane model and topological insulators [PDF]
Many particle effects and disorder
-Interacting electron gas, Density Functional Theory, Thomas-Fermi Theory [PDF]
-Jellium model, Hartree-Fock approach, Lindhard function [PDF]
-Random-Phase Approximation, Collective Excitations, screening, Friedel Oscillations [PDF]
-Fermi Liquids [PDF]
-Electron-Phonon interaction, BCS-theory of superconductivity [PDF]
-Hubbard model, Heisenberg model, Jordan-Wigner transformation [PDF]
-Lieb-Schultz-Mattis, spin wave theory, tJ model, Nakaoka ferromagnetism, Mermin-Wagner [PDF]
-Anderson localization in disordered quantum systems [PDF]
Tutorials
Prerequisites [PDF] (Solution: [PDF])
Homework 1 [PDF] (Solution: [PDF])
Homework 2 [PDF] (Solution: [PDF])
Homework 3 [PDF] (Solution: [PDF])
Homework 4 [PDF] (Solution: [PDF])
Homework 5 [PDF] (Solution: [PDF])
Homework 6 [PDF] (Solution: [PDF])
Homework 7 [PDF] (Solution: [PDF])
Homework 8 [PDF] (Solution: [PDF])
Homework 9 [PDF] (Solution: [PDF])
Homework 10 [PDF] (Solution: [PDF])
Homework 11 [PDF] (Solution: [PDF])
Homework 12 [PDF] (Solution: [PDF])
Homework 13 [PDF] (Solution: [PDF])
Literature:
P.M. Chaikin and T.C. Lubensky, Principles of Condensed Matter Physics
N.W. Ashcroft and N.D. Mermin, Solid State Physics