Allen, P.
, Cohen, M.
and Penn, D.
(1988),
Total Dielectric Function: Algebraic Sign, Electron-Lattice Response, and Superconductivity, Physical Review B (Condensed Matter and Materials Physics), [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=620307 (Accessed April 30, 2026)
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Total Dielectric Function: Algebraic Sign, Electron-Lattice Response, and Superconductivity
Published
Author(s)
P Allen, Marvin Cohen,
Abstract
The interaction between two test charges in a solid can be described in terms of a total dielectric function that includes electronic and lattice polarization. Crystal stability requires the eigenvalues of ε-1 to be <= 1. Some implications for superconductivity are discussed. A total dielectric function for the electron-lattice system is derived in the mean-field approximation and its inverse is explicitly constructed. The low-lying poles of ε-1 give the correct phonon frequencies as determined by the usual dynamical matrix.Citation
Physical Review B (Condensed Matter and Materials Physics)
Volume
38
Issue
4
Pub Type
Journals
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Created August 1, 1988, Updated April 21, 2026