Practical Quantum Mechanics for Exp. Solid State Physicists: I
Modelling Complex Phenomena using Tight Binding methods

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lecture notes

1. 10.10.2017 - Kasinathan - Diagonalization of a 2by2 matrix
   • Numerical Recipes Book
   • A Introduction to the Linux Command Shell for Beginners
   • Solving a 2x2 matrix
   • Fortran77 code for a 2by2 matrix diagonalization by Hao Tjeng
   • Lecture Notes
   • An animation showing the results of a 2x2 matrix diagonalization
   
   
2. 17.10.2017 - Tjeng - Diagonalization of a 2by2 matrix -contd.
   • 2x2 matrix - notes
   • Density of states, first moment
   • Matrix organization
   • 3x3 matrix - notes
   • Fortran77 code for a 3by3 matrix diagonalization by Hao Tjeng
   
   
3. 24.10.2017 - Tjeng - Diagonalization of a ring matrix
   • Ring matrix - notes
   
   
4. 07.11.2017 - Tjeng - Ring matrix, Peierls transition
   • Instructions to copy and execute the programs
   • Ring Matrix in 1, 2 and 3 dimensions
   • Ring Matrix - 2 sites per unit cell
   • Peierls transition
   • Instructions to copy and execute the programs - new
   • Fortran file of ring-matrix, 2 orbitals, k-dependent. Rename extension to *.f to execute
   • Ring Matrix, 2 sites, k-dependent band structure (Results of the above program)
   
   
5. 14.11.2017 - Kasinathan - Tightbinding
   • Bloch theorem for local basis
   • Introduction to Tightbinding approximation
   • Slater Koster parametrization
   • Tightbinding model for one s and one p orbital in a chain
   
   
6. 21.11.2017 - Tjeng
   
7. 28.11.2017 - Daisuke Takegami - Tightbinding Sr₂RuO₄
   • Notes on Sr₂RuO₄
   
   
8. 05.12.2017 - Daisuke Takegami - Tightbinding Sr₂RuO₄
   • Haverkort - PRL (2008)
   • Damascellii - PRL (2000)
   • Hicks - Science (2017)
   • Maeno - Nature (1994)
   • Oguchi - PRB (1995)
   • Shen - PRL (2016)
   • Singh - Sr2RuO4 PRB (1995)
   
   
9. 12.12.2017 - Kasinathan - Tightbinding + Spin-Orbit Coupling
   • Lecture Notes
   
   
10. 19.12.2017 - Kasinathan - Tightbinding + Spin-Orbit Coupling
    • Lecture Notes
    • Mathematica file converted to pdf
    
    
11. 09.01.2018 - Tjeng - One dimensional DOS, Surface states
    • Bulk projected DOS
    • Impurity and Surface states
    
    
12. 16.01.2018 - Kasinathan - One dimensional DOS - computations
    • Lecture Notes
    • Fortran program converted to pdf