Validity of perturbation theory. I. The single band gap model
- 1 February 1970
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 3 (2) , 387-397
- https://doi.org/10.1088/0022-3719/3/2/020
Abstract
A simple test of the validity of perturbation theory in the evaluation of energy differences between different crystal structures for sp- bonded metals is provided by a model in which the effect of only one band gap is considered. This model, which was previously discussed semi-quantitatively by Harrison and by Pick and Blandin, is here solved exactly for a local pseudopotential. Former ideas concerning the nature of 'Brillouin zone-Fermi surface interactions' are discussed in the light of perturbation theory and this more exact model.Keywords
This publication has 21 references indexed in Scilit:
- Fermi Surfaces for dhcp La, Nd, and Pr: Relationship to Magnetic Ordering and Crystal StructurePhysical Review Letters, 1968
- The elastic constants of metallic lithiumJournal of Physics C: Solid State Physics, 1968
- Structure of Di- and Trivalent MetalsPhysical Review B, 1966
- Electron-ion pseudopotentials in metalsPhysics Letters, 1966
- Interatomic interactions in metalsJournal de Physique et le Radium, 1962
- On the theory of solid solutions in copper, silver and goldPhilosophical Magazine, 1961
- The description of collective motions in terms of many-body perturbation theory. II. The correlation energy of a free-electron gasProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1958
- A Theory of the Deviation from Close Packing in Hexagonal Metal CrystalsPhysical Review B, 1953
- IX. A calculation of the elastic shear constants of ?-brassJournal of Computers in Education, 1952
- The phase boundaries in binary alloys, part 2: the theory of the , phase boundariesProceedings of the Physical Society, 1937