Abstract
The eigenvalues and eigenvectors of the dielectric matrix provide a compact representation of the screening properties of interacting electronic systems. We have previously shown that the dielectric eigenvalue spectrum may be efficiently computed by iterative linear-response calculations and that for nonmetallic systems may be obtained through an eigenvalue-eigenvector decomposition where only a small number of eigenvalues are included. Here we investigate the spectral properties of the dielectric matrices of a variety of systems (solids, nanostructures, and molecules) as well as the convergence properties of the eigenvalue decomposition of as a function of the number of eigenmodes. Our results provide guidance on how to perform practical calculations of dielectric matrices using iterative techniques.
2 More- Received 8 April 2009
DOI:https://doi.org/10.1103/PhysRevB.79.245106
©2009 American Physical Society