Ab initio study of the volume dependence of dynamical and thermodynamical properties of silicon

G. Rignanese, J. Michenaud, X. Gonze

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68 Citations (Scopus)

Abstract

Motivated by the negative thermal expansion observed for silicon between 20 K and 120 K, we present an ab initio study of the volume dependence of interatomic force constants, phonon frequencies of transverse-acoustic TA(X) and TA(L) modes, and of the associated mode Grüneisen parameters. The influence of successive nearest-neighbor shells is analyzed. Analytical formulas, taking into account interactions up to second-nearest neighbors, are developed for phonon frequencies of TA(X) and TA(L) modes and the corresponding mode Grüneisen parameters. We also analyze the volume and pressure dependence of various thermodynamic properties (specific heat, bulk modulus, and thermal expansion), and point out the effect of the negative mode Grüneisen parameters of the acoustic branches on these properties. Finally, we present the evolution of the mean-square atomic displacement and of the atomic temperature factor with the temperature for different volumes, for which the anomalous effects are even greater.

Original languageEnglish
Pages (from-to)4488-4497
Number of pages10
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume53
Issue number8
DOIs
Publication statusPublished - 1996
Externally publishedYes

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