The correlation energy of anisotropic metals

The effect of a spatially periodic field on the correlation energy of metallic electrons is studied. The crystal potential is taken to vary in one dimension only. It may be arbitrarily strong, but an implicit form is chosen so as to generate specially simple Bloch states (the ‘sinusoidal electron mo...

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Bibliographic Details
Published in:The Journal of physics and chemistry of solids 1973-01, Vol.34 (6), p.1007-1023
Main Authors: Aviran, A., Kuper, C.G.
Format: Article
Language:English
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Summary:The effect of a spatially periodic field on the correlation energy of metallic electrons is studied. The crystal potential is taken to vary in one dimension only. It may be arbitrarily strong, but an implicit form is chosen so as to generate specially simple Bloch states (the ‘sinusoidal electron model’). Electronic motion in the plane normal to the crystal field is assumed free. The constantenergy surfaces are taken to be ellipsoids of revolution. An explicit representation of the crystal field is not required. It is found that specifically crystalline effect—such as Umklapp scattering—do not play an important role, and that the main effect of interband scattering is merely a shift in the constant term in the correlation energy. On the other hand the ellipticity of the energy surfaces does lead to significant modifications to the free-electron expression.
ISSN:0022-3697
1879-2553
DOI:10.1016/S0022-3697(73)80008-3