Continued-fraction coefficients in the presence of critical points
- 15 July 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 32 (2) , 627-632
- https://doi.org/10.1103/physrevb.32.627
Abstract
We examine in this paper how van Hove critical points, in a given density-of-states distribution, modify the asymptotic behavior of the corresponding continued-fraction coefficients. Singularities within and at the boundary of a single connected band are discussed in detail, for one-, two-, and three-dimensional structures, in a simple and comprehensive way.Keywords
This publication has 11 references indexed in Scilit:
- The Classical and Generalized Moment Problem in the Theory of RelaxationPhysica Status Solidi (b), 1985
- A linear prediction of the recursion coefficientsJournal of Physics C: Solid State Physics, 1984
- Reconstruction of the density of states from its momentsPhysical Review B, 1983
- Band gaps and asymptotic behaviour of continued fraction coefficientsJournal of Physics C: Solid State Physics, 1982
- Recursion method for the extended impurity problemJournal of Physics C: Solid State Physics, 1980
- Van Hove singularities and continued fraction coefficientsJournal de Physique Lettres, 1977
- Electronic structure based on the local atomic environment for tight-binding bands. IIJournal of Physics C: Solid State Physics, 1975
- Density of states from moments. Application to the impurity bandJournal of Physics C: Solid State Physics, 1973
- Electronic structure based on the local atomic environment for tight-binding bandsJournal of Physics C: Solid State Physics, 1972
- On the electronic structure of liquid transitional metalsAdvances in Physics, 1967