An alternative way of calculating the superlattice Green function for discrete media

We present an alternative and efficient way for calculating the superlattice Green function for discrete systems. The idea is to consider the superlattices as a crystal with the unit cell having the size of the superlattice period in the growth direction. The calculation method takes into account th...

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Bibliographic Details
Published in:Surface science 2004-04, Vol.554 (2), p.245-252
Main Authors: Vlaev, S.J., Rodrı́guez-Vargas, I., Gaggero-Sager, L.M., Velasco, V.R.
Format: Article
Language:English
Subjects:
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electron states and collective excitations in thin films, multilayers, quantum wells, mesoscopic and nanoscale systems
Electronic structure and electrical properties of surfaces, interfaces, thin films and low-dimensional structures
Exact sciences and technology
Green's function methods
Physics
Superlattices
Surface electronic phenomena (work function, surface potential, surface states, etc.)
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Summary:We present an alternative and efficient way for calculating the superlattice Green function for discrete systems. The idea is to consider the superlattices as a crystal with the unit cell having the size of the superlattice period in the growth direction. 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 sp 3s * tight-binding Hamiltonian, including nearest-neighbor interactions and spin–orbit coupling.
ISSN:0039-6028
1879-2758
DOI:10.1016/j.susc.2004.02.007