Abstract

A new analytic method of calculating the density of states based on local quadratic expansions is given. Results are presented for the tight binding s band and for the valence bands of silicon. These show that the new technique properly treats van Hove singularities, where the commonly applied method using local linear expansions fails.

Keywords

Gravitational singularityQuadratic equationDensity of statesMathematicsMathematical analysisApplied mathematicsPhysicsQuantum mechanicsGeometry

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Publication Info

Year
1983
Type
article
Volume
16
Issue
27
Pages
L949-L954
Citations
29
Access
Closed

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Cite This

M. Methfessel, M. H. Boon, F. M. Mueller (1983). Analytic-quadratic method of calculating the density of states. Journal of Physics C Solid State Physics , 16 (27) , L949-L954. https://doi.org/10.1088/0022-3719/16/27/002

Identifiers

DOI
10.1088/0022-3719/16/27/002