Computing: Difference between revisions

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* [http://www.physics.udel.edu/~bnikolic/teaching/phys824/MATLAB/matrix_exp.m matrix_exp.m] (Exponential, or any other function with small changed in the code, of a Hermitian  matrix)
* [http://www.physics.udel.edu/~bnikolic/teaching/phys824/MATLAB/matrix_exp.m matrix_exp.m] (Exponential, or any other function with small changed in the code, of a Hermitian  matrix)
* [http://www.physics.udel.edu/~bnikolic/teaching/phys824/MATLAB/visual_graphene_H.m visual_graphene_H.m] (For a given tight-binding Hamiltonian on the honeycomb lattice, function plots position of carbon atoms and draws blue lines to represent hoppings between them; red circles to represent on-site potential  between them; and cyan lines to represent the periodic boundary conditions; it can be used to test if the tight-binding Hamiltonian of graphene is set correctly)
* [http://www.physics.udel.edu/~bnikolic/teaching/phys824/MATLAB/self_energy.m self_energy.m] (Self-energy of the semi-infinite ideal metallic lead modeled on the square tight-binding lattice - the code shows how to convert analytical formulas of the lead surface Green function into a working program)
* [http://www.physics.udel.edu/~bnikolic/teaching/phys824/MATLAB/self_energy.m self_energy.m] (Self-energy of the semi-infinite ideal metallic lead modeled on the square tight-binding lattice - the code shows how to convert analytical formulas of the lead surface Green function into a working program)



Revision as of 13:56, 3 October 2009

MATLAB

Hands-on training

Reference

Books and notes

Implementation Tools

M-files

M-functions

  • matrix_exp.m (Exponential, or any other function with small changed in the code, of a Hermitian matrix)
  • visual_graphene_H.m (For a given tight-binding Hamiltonian on the honeycomb lattice, function plots position of carbon atoms and draws blue lines to represent hoppings between them; red circles to represent on-site potential between them; and cyan lines to represent the periodic boundary conditions; it can be used to test if the tight-binding Hamiltonian of graphene is set correctly)
  • self_energy.m (Self-energy of the semi-infinite ideal metallic lead modeled on the square tight-binding lattice - the code shows how to convert analytical formulas of the lead surface Green function into a working program)

Mathematica

Hands-on training

Tutorials

Books