Computing

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MATLAB

Hands-on training

Reference

Books and notes

Implementation Tools

M-files

  • electron_density.m (code for Problem 1 in Homework Set 1)
  • disordered_nanowire.m (code for Problems 2 & 3 in Homework Set 2)
  • dos_negf.m (code to compute the density of states of a nanowire using Green functions)
  • qt_1d.m (code to compute the conductance and total and local density of states of a 1D nanowire, with possible potential barriers or impurities, attached to two semi-infinite electrodes)

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); This function calls another three function which should be placed in the same directory (or in the path): atomCoord.m, atomPosition.m, and constrainView.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)

Mathematica

Hands-on training

Tutorials

Books

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