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The contribution of lattice vibrations to the dielectric function epsilon(q,ω) of metals

H Hinkelmann

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The response of the system of conduction electrons to the lattice vibrations is considered up to the second order in the ion displacements. From this the author derives relations between the complex dielectric function epsilon (q, omega ) of a metal and the dynamical structure factor S(q, omega ) of its ions. epsilon (q, omega ) shows resonance behaviour at the phonon frequencies. The order of magnitude of the vibration contribution to epsilon (q, omega ) depends on the material considered.


PACS

63.70.+h Statistical mechanics of lattice vibrations and displacive phase transitions

71.45.Gm Exchange, correlation, dielectric and magnetic response functions, plasmons

77.84.Bw Elements, oxides, nitrides, borides, carbides, chalcogenides, etc.

77.22.Ch Permittivity (dielectric function)

71.20.Gj Other metals and alloys

71.15.Dx Computational methodology (Brillouin zone sampling, iterative diagonalization, pseudopotential construction)

Subjects

Condensed matter: electrical, magnetic and optical

Condensed matter: structural, mechanical & thermal

Dates

Issue 1 (January 1975)



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