Generalized magnetic susceptibilities in metals

Application of the analytic tetrahedron linear energy method to Sc

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Abstract

A detailed study of the generalized susceptibility χ(q→) of Sc metal determined from an accurate augmented-plane-wave method calculation of its energy-band structure is presented. The calculations were done by means of a computational scheme for χ(q→) derived as an extension of the work of Jepsen and Andersen and Lehmann and Taut on the density-of-states problem. The procedure yields simple analytic expressions for the χ(q→) integral inside a tetrahedral microzone of the Brillouin zone which depends only on the volume of the tetrahedron and the differences of the energies at its corners. Constant-matrix-element results have been obtained for Sc which show very good agreement with the results of Liu, Gupta, and Sinha (but with one less peak) and exhibit a first maximum in χ(q→) at (0, 0, 0.31)2πc [vs (0, 0, 0.35)2πc obtained by Liu et al.] which relates very well to dilute rare-earth alloy magnetic ordering at q→m=(0, 0, 0.28)2πc and to the kink in the LA-phonon dispersion curve at (0, 0, 0.27)2πc.

Original languageEnglish
Pages (from-to)2109-2117
Number of pages9
JournalPhysical Review B
Volume11
Issue number6
DOIs
Publication statusPublished - 1975

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energy methods
Magnetic susceptibility
tetrahedrons
Band structure
Metals
Rare earth alloys
rare earth alloys
magnetic permeability
Brillouin zones
metals
energy bands
Magnetization
plane waves
curves
matrices
energy

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Generalized magnetic susceptibilities in metals : Application of the analytic tetrahedron linear energy method to Sc. / Rath, J.; Freeman, Arthur J.

In: Physical Review B, Vol. 11, No. 6, 1975, p. 2109-2117.

Research output: Contribution to journalArticle

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