ENERGY-BAND STRUCTURE OF SOLIDS FROM A PERTURBATION ON THE 'EMPTY LATTICE'.
Abstract
A simple perturbation approach is developed to obtain the energy-band structure of solids. The unperturbed Hamiltonian consists of the kinetic part and of a uniform potential; the perturbing operator is the crystal potential plus a term which originates from the requirement that valence and conduction states be orthogonal to the inner states. This amounts to an approximation to the O. P. W. method. Reasons are given for the validity of such a simple scheme and applications are made to the case of the diamond lattice and of the zincblende lattice. It is shown how features of the energy-band structure depend on the symmetry of the lattice, on the lattice parameter and on the 'core states' of the atomic components. Numerical results obtained for diamond, silicon and BN are in fair agreement with recent calculations. An energy-band structure consistent with experimental information is obtained for Ge and GaAs by fixing the values of a few parameters. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 14, 1960
- Accession Number
- AD0612226
Entities
People
- F. Bassani
- V. Celli
Organizations
- University of Illinois Urbana–Champaign