RGF-electron-matlab

A 100-line MATLAB code for the recursive Green's function method for electron transport

Features

• This is a simple but working code for calculating the electron transmission in the Anderson square lattice model.
• This code was used to do some calculations in a review article (to be submitted).

File organizations

• A script for testing:

  • test_ballistic.m: calculates the transmission in the absence of Anderson disorder

• The testing script calls

  • the driver function "find_T" to do the calculations

• The driver function "find_T" calls

  • the "find_H" function to construct the tight-binding Hamiltonian
  • the "find_Sigma" function to calculate the self-energies
  • the "find_T1" function to calculate the transmission for a single energy point and a single disorder realization

• The "find_Sigma" function calls

  • the "find_g00" function to calculate the surface Green's function

Unit system

• I use the following basic units:
  • Length: lattice constant a=1
  • Energy: hopping integral t=1

Running the examples

• Run the "test_ballistc.m" script to get the ballistic transmission in a square lattice with a width of 2.

Contact

• Zheyong Fan: brucenju(at)gmail.com