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Condensed Matter Theory 2
Lecture contents
Introduction to solid state physics II. The complexity of 1023 particles interacting with each other in a solid gives rise to many emergent phenomena one would not predict from the simple interactions between two electrons. In this lecture we will, starting from simple models and theories work our way into the contemporary theory of many particle physics.
Where Condensed Matter Theory I (in the winter semester) focused on theories based on indepdendent electrons this lecture will focus on theories treating the electron Coulomb interaction explicitly.
Concepts of many particle systems discused are:
- Computational complexity
- Hubbard model
- Mott Hubbard and charge transfer insulators
- Resoponse functions
- Quasi particles
- Kondo excitations
- Heavy fermion metals
- Relativistic corrections - spin-orbit coupling
- Magnetism
- Superconductivety
Theoretical / Mathematical tools used will be
- Second quantization
- Exact diagonalization
- Green's functions
- Self energy
Levels of theory discussed will be
- Crystal field theory
- Ligand field theory
- Anderson impurity model
- Mean field theory (Hartree-Fock and Density functional theory within the local density approximation)
- Dynamical mean field theory
- Diagramatic expansions
Material
- 2019_04_29_H2Molecule_part1.pdf
- 2019_04_29_Introduction.pptx
- 2019_05_06_H2Molecule_part2.pdf
- 2019_05_06_Quantum_Temperature_Fluctuations.pdf
- 2019_05_08_Coulomb_interaction.pdf
- 2019_05_12_Spin_orbit_interaction_Low_energy_effective_operators.pdf
- 2019_05_15_The_solid_from_a_local_perspective.pdf
- 2019_05_20_Point_Group_symmetry.pdf
- 2019_05_22_Crystal_field_theory_Hubbard_I_approximation.pdf
- 2019_05_27_DFT_to_TightBinding_LigandField.pptx
- 2019_05_27_Ligand_Field_Theory_Orbitals.pdf
- 2019_05_27_Physical_Review_1954_Slater_Koster.pdf
- 2019_06_03_Magnetic_Interactions_Stoner.pdf
- 2019_06_05_Magnetic_Interactions_Local_Moments_Exchange.pdf
- 2019_06_12_Spin_Wave_Theory.pdf
- 2019_06_17_Dispersing_Magnetic_Excitations.pdf
- 2019_06_19_Anti-Ferromagnetism.pdf
- 2019_07_01_Mean-Field_Theory.pdf
- 2019_07_03_Greens_functions_and_Selfenergy_Dependent_Electrons.pdf
- 2019_07_10_Green_s_functions_for_dependent_electrons.pdf
- 2019_07_15_Ground-state_and_Self-Energy.pdf
- 2019_07_17_DMFT_and_Fractional_Parantage.pdf
Exercise sheets
Practice groups
- Group Teilnehmer/innen
9 participants
Assumed background
It is assumed students have successfully finnesed the following lectures
-
Theoretical Statistical Physics
-
Experimentalphysic V - Molekül- und Festkörperphysik
-
Condensed Matter Theory I
and have a decent knowledge on the theories described in
-
Ashcroft / Mermin
Solid State Physics -
Kittel
Introduction to Solid State Physics
Recommended literature
-
Ashcroft / Mermin
Solid State Physics -
Kittel
Introduction to Solid State Physics -
Mattuck
A guide to Feynman Diagrams in the Many-Body Problem -
E.N. Economou
Green's Functions in Quantum Physics -
C.J. Ballhausen
Introduction to ligand field theory
The lecturenotes will be made available as the lecture progressess, they however should not be your only source of information.
