High symmetry point in GaAs superlattice

[mbarkira]

Hi
I have a problem that i couldn't solve by myself with my little background. I want to plot the bandstructure for a GaAs superlattice, the z-axis is the 111 direction. The structure is non periodic in the z direction and periodic in the x and y direction. The process is totally different then the bulk situation since that should be a new brillouin zone and a new high symmetry points. I couldn't find the new symmetry points and i couldn't find any good book about this, it is really a big mess for me. so any help will be appreciated.

Thanks
Raouf


NB: I am really new in the field.

 

[member 553083]

You can try to use a plane wave expansion approach for solving the Schrödinger equation for the superlattice. This is commonly used in electronic structure calculations, and it should provide you with the band structure of the system. You can find more information about this method in textbooks on computational solid state physics or quantum mechanics. Additionally, many numerical packages such as VASP and Quantum Espresso are available for performing such calculations.