Practical Quantum Mechanics for Exp. Solid State Physicists

The lecture room has been changed from MER/0001/U to Seminar Room 1 of Max Planck Institute for Chemical Physics of Solids, Noethnitzerstr. 40, 01187.

To access the files in this page, you need a login. Please contact the lecturer during class or write an email to Deepa Kasinathan

lecture notes

1. 11.10.2016 - Tjeng - Introduction
   • Introductory talk
   • Solving a 2x2 matrix
   • Ring Hamiltonian
   • Exercise 1
   
   
2. 18.10.2016 - Kasinathan - Hand's on diagonalization and visualization
   • Computer acces
   • Lecture
   • Mathematica file - 2x2 matrix diagonalization
   • An animation showing the results of a 2x2 matrix diagonalization
   • Mathematica file - 3x3 matrix diagonalization
   • An animation showing the results of a 3x3 matrix diagonalization
   • Mathematica file - Ring matrix diagonalization
   
   
3. 25.10.2016 - Tjeng - Bloch Theorem, Tightbinding, band structure
   • Notes
   
   
4. 01.11.2016 - Kasinathan - Hand's on: Density of States for a ring matrix, impurity in a ring matrix, open chain
   • For this week's course, you need the software "Mathematica". If you do not have them, please download the source from the link's below. We have organized for student passwords to use this program, which you can obtain by contacting Deepa Kasinathan.
   • Mathematica-Windows
   • Mathematica-Mac
   • Mathematica-Linux
   • Mathematica file - DOS
   • Mathematica file - DOS (converted to PDF)
   • Notes
5. 08.11.2016 - Tjeng - Tightbinding
   • Slater-Koster parametrization
   • Tightbinding - MgO
   • MgO - Angle-resolved ultraviolet photoelectron spectroscopy
6. 15.11.2016 - Kasinathan - Hand's on Tightbinding
   • Mathematica file - s-orbital on a square lattice and p-orbitals on a square lattice
   • Mathematica file - La2CuO4
7. 22.11.2016 - Kasinathan - Hand's on Tightbinding and FPLO
   • Mathematica file - Complex and Real orbitals
   • Mathematica file - Sr2RuO4
   • Literature - Sr2RuO4 - 3by3 model
   • Literature - Sr2RuO4 - ARPES
8. 29.11.2016 - Tjeng - Density of states, surface states Please note that today's lecture will happen in Seminar Room 4 (inside the library) of MPI CPfS
   • Density of States of a free electron
   • Bulk projected density of states
   • Green's function, impurity states (Chapter from Economou)
   • Impurity states and surface states
9. 06.12.2016 - Kasinathan - surface states Please note that today's lecture will happen in Seminar Room 4 (inside the library) of MPI CPfS
   • Trivial surface states
   • Mathematica file - Topological surface states
   • Topological surface states (pdf of the Mathematica file)
10. 13.12.2016 - Tjeng - Madelung potential, polar surfaces
    • Notes - Madelung potential
    • Kittel - Madelung energy
    • Transition metal oxides - Madelung potential
    • Why are some oxides metallic?
    • Talk - polar surfaces
    • Polar surfaces in K₃C₆₀
    • Evading polar catastrophe in Fe₃O₄
    • Fortran program for 1d
    • Fortran program for 2d
    • Fortran program for 3d (rock-salt)
    • Fortran program for 3d with radius (rock-salt)
11. 20.12.2016 - No lecture
12. 10.01.2017 - Kasinathan - Topological Band Theory
    • Lecture Notes
13. 17.01.2017 - Kasinathan - Magnetic band structures and density of states
    • Lecture Notes
14. 24.01.2017 - Kasinathan - Thermoelectric properties
    • Lecture Notes
15. 31.01.2017 - Tjeng
    • Lecture Notes
    • Hubbard model
    • Metal Insulator Transition
    • Mott's original paper
    • Sawatzky PRL 1984
    • Terakura PRL 1984