SelfConsistent Field Approximation for the Frequency Spectrum of a Disordered Chain
Abstract
The frequency spectrum of a disordered onedimensional chain is calculated using a selfconsistent field approximation. By requiring that the phonon scattering amplitudes satisfy a certain requirement of analytic selfconsistency, an implicit equation for the phonon selfenergy 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.
 Publication:

Physical Review
 Pub Date:
 July 1963
 DOI:
 10.1103/PhysRev.131.163
 Bibcode:
 1963PhRv..131..163D