Self-Consistent Field Approximation for the Frequency Spectrum of a Disordered Chain
- 1 July 1963
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 131 (1) , 163-166
- https://doi.org/10.1103/physrev.131.163
Abstract
The frequency spectrum of a disordered one-dimensional chain is calculated using a self-consistent field approximation. By requiring that the phonon scattering amplitudes satisfy a certain requirement of analytic self-consistency, an implicit equation for the phonon self-energy function is obtained. This equation turns out to be exactly soluble, and leads to a spectral function which possesses no singularities and which exhibits a very flat, broad impurity band.Keywords
This publication has 3 references indexed in Scilit:
- The modification of electron energy levels by impurity atomsAnnals of Physics, 1961
- Frequency Spectrum of a Disordered One-Dimensional LatticeJournal of Mathematical Physics, 1961
- Vibrational spectra of diatomic chains. IIProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1961