Vlaev, Stoyan; Rodríguez Vargas, Isaac; Gaggero Sager, Luís Manuel; Velasco, Víctor
Resumen:
We present an alternative and efficient way for calculating the superlattice Green function for discrete systems. Theidea is to consider the superlattices as a crystal with the unit cell having the size of the superlattice period in the growthdirection. The calculation method takes into account the matrix structure of the system Hamiltonian and a block tridiagonal matrix inversion algorithm. To illustrate the method we study the electronic band structure of a semiconductor superlattice described by means of an empirical sp3s tight-binding Hamiltonian, including nearest-neighbor interactions and spin–orbit coupling.