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Generalized Lyddane-Sachs-Teller relation for electron liquids

Generalized Lyddane-Sachs-Teller relation for electron liquids By defining the longitudinal and transverse frequencies in terms of the frequency moments of the response functions, the Lyddane-Sachs-Teller (LST) relation for electron liquids is derived from the Kramers-Kronig relations. The extension of the LST relation for finite wave numbers is possible if the dielectric function obeys the Kramers-Kronig relations at finite wave numbers. It is pointed out that the LST relation in principle allows one to experimentally check the validity of the Kramers-Kronig relations for the dielectric function at finite wave numbers. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Generalized Lyddane-Sachs-Teller relation for electron liquids

Physical Review B , Volume 44 (24) – Dec 15, 1991
5 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1991 The American Physical Society
ISSN
1095-3795
DOI
10.1103/PhysRevB.44.13255
Publisher site
See Article on Publisher Site

Abstract

By defining the longitudinal and transverse frequencies in terms of the frequency moments of the response functions, the Lyddane-Sachs-Teller (LST) relation for electron liquids is derived from the Kramers-Kronig relations. The extension of the LST relation for finite wave numbers is possible if the dielectric function obeys the Kramers-Kronig relations at finite wave numbers. It is pointed out that the LST relation in principle allows one to experimentally check the validity of the Kramers-Kronig relations for the dielectric function at finite wave numbers.

Journal

Physical Review BAmerican Physical Society (APS)

Published: Dec 15, 1991

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