4 November 1999 Group-theory approach within the framework of the tight-binding model
Author Affiliations +
Proceedings Volume 3890, Fourth International Conference on Material Science and Material Properties for Infrared Optoelectronics; (1999); doi: 10.1117/12.368370
Event: Material Science and Material Properties for Infrared Optoelectronics, 1998, Kiev, Ukraine
Abstract
A new approach to the constructing of the model Hamiltonian within the framework of the general tight-binding formalism is proposed. Considerable simplification of the conventional procedure of matrix element determination is achieved taking advantages of the group theory. It is shown, that the overlapping of wave functions centered on the neighboring lattice sites in arbitrary low-symmetric lattice may be counted up through the coupling integrals between atom-like states, as though these atoms should be placed at the same distance along the z-axis. It is pointed out, that the self- consistent ab-initio calculation scheme based on the general assumptions of the tight-binding model appears to be possible.
© (1999) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Alexey E. Madison, "Group-theory approach within the framework of the tight-binding model", Proc. SPIE 3890, Fourth International Conference on Material Science and Material Properties for Infrared Optoelectronics, (4 November 1999); doi: 10.1117/12.368370; https://doi.org/10.1117/12.368370
PROCEEDINGS
5 PAGES


SHARE
KEYWORDS
Chemical species

Electrons

Optical spheres

Crystals

Magnetism

Solids

Spherical lenses

RELATED CONTENT


Back to Top