Bond charge model for the transverse dynamic effective charge and the piezoelectric constant of zincblende‐type crystals

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Abstract
A bond charge model for the transverse dynamic effective charge and the piezoelectric constant of the zincblende structure is presented. It works with analytical pseudopotentials and leads to simple analytical results, which yield numerical agreement with experimental data. The transverse dynamic effective charge is obtained from ionic and electronic polarizations arising in an optic‐mode sublattice displacement. The piezoelectric constant is calculated regarding additionally the effects of a macroscopic strain in a deformable‐ion model. It consists of an internal‐displacement term and a charge redistribution term, the latter comes from the bond charge. Both are of the same order of magnitude but of opposite sign and confirm quantitatively Lawaetz' qualitative local‐field analysis of Martin's theory of the piezoelectric effect.