The theory of disordered alloys. I. Continued fractions and off-diagonal disorder
- 1 May 1973
- journal article
- Published by IOP Publishing in Journal of Physics F: Metal Physics
- Vol. 3 (5) , 933-943
- https://doi.org/10.1088/0305-4608/3/5/008
Abstract
A continued fraction technique is used to derive an approximation to the density of states of a disordered alloy with a tree of Bethe lattice. The approximation in the case of only diagonal disorder provides a new simple derivation of the coherent potential approximation for a certain density of states. For an alloy with both diagonal and off-diagonal disorder the density of states is given in terms of the solution of a certain cubic equation. The self energy in this case is also obtained and used to provide the starting point for a theory of alloys with both diagonal and off-diagonal disorder and a general lattice which is equivalent to a special case of the theory of Blackman et al. Extensive calculations are presented.Keywords
This publication has 7 references indexed in Scilit:
- Effect of local order on the electronic states of binary alloysJournal of Physics F: Metal Physics, 1973
- Electronic structure based on the local atomic environment for tight-binding bandsJournal of Physics C: Solid State Physics, 1972
- Generalized Locator—Coherent-Potential Approach to Binary AlloysPhysical Review B, 1971
- Single-Particle Excitations in Magnetic InsulatorsPhysical Review B, 1970
- Single-Site Approximations in the Electronic Theory of Simple Binary AlloysPhysical Review B, 1968
- The theory of transition metal band structuresJournal of Physics C: Solid State Physics, 1968
- Interaction in Transition MetalsPhysical Review B, 1967