How Can MATLAB Simulate Semiconductor vs. Insulator Band Theory?

[Matiasss]

I am interested in simply simulating in MATLAB or an open source software, the following qualitative explanation of the band theory. I want to show to an undergraduate course maybe a simple applet with the difference between semiconductor (Si) and insulator (Diamond for example) .

do you have any idea? i have also heard about Quantum Espresso.

thanks!

 

[Matiasss]