Composition dependence of elastic constants in wurtzite AlGaInN alloys
Abstract
In this paper, we analyze the dependence of elastic constants cij on composition for random wurtzite quater- nary AlGayInN alloy in the whole concentration range. The study takes as its starting point the cij parameters for zinc blende phase calculated earlier by the authors on the basis of valence force field model. To obtain the wurtzite constants from cubic material parameters the Martin transformation is used. The de- viations from linear Vegard-like dependence of cij on composition are analyzed and accurate quadratic fits to calculated moduli are presented. The influence of nonlinear internal strain term in the Martin transformation is also investigated. Our general results for quaternary AlGaInN alloys are compared with the recent ab initio calculations for ternaries GaInN and AlInN (Gorczyca and Lepkowski, Phys. Rev. B 83 203201, 2011) and good qualitative agreement is found.
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