Application of infinite order perturbation theory in linear systems. II. The frequency spectrum of disordered chains
- 1 July 1974
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 15 (7) , 947-949
- https://doi.org/10.1063/1.1666776
Abstract
A formulation is presented such that the ensemble average of the diagonal elements of the Green's function for a one‐dimensional disordered system can be calculated to arbitrary accuracy. The method is illustrated with an application to an isotopically disordered chain. An approximate solution to the frequency spectrum of a disordered binary chain is also discussed.Keywords
This publication has 12 references indexed in Scilit:
- Applications of infinite order perturbation theory in linear systems. IJournal of Mathematical Physics, 1974
- The Vibrational Properties of Disordered Systems: Numerical StudiesReviews of Modern Physics, 1972
- Self-Consistent Average Green's Function in Random Lattices: A Generalized Coherent-Potential Approximation () and Its Diagrammatic EquivalentsPhysical Review B, 1971
- Pair Effects and Self-Consistent Corrections in Disordered AlloysPhysical Review B, 1969
- Vibrational Properties of Imperfect Crystals with Large Defect ConcentrationsPhysical Review B, 1967
- Note on Electronic State of Random Lattice. IIIProgress of Theoretical Physics, 1966
- The electronic structure of a one-dimensional random alloyProceedings of the Physical Society, 1964
- Frequency Spectrum of a Disordered One-Dimensional LatticeJournal of Mathematical Physics, 1961
- Disordered One-Dimensional CrystalsPhysical Review B, 1957
- Effect of Defects on Lattice VibrationsPhysical Review B, 1955