Physics – Condensed Matter – Materials Science
Scientific paper
2004-09-10
Physics
Condensed Matter
Materials Science
25 pages, no figures, submitted to Phys. Rev. B
Scientific paper
10.1103/PhysRevB.71.035117
The direct calculation of the elastic and piezoelectric tensors of solids can be accomplished by treating homogeneous strain within the framework of density-functional perturbation theory. By formulating the energy functional in reduced coordinates, we show that the strain perturbation enters only through metric tensors, and can be treated in a manner exactly paralleling the treatment of other perturbations. We present an analysis of the strain perturbation of the plane-wave pseudopotential functional, including the internal strain terms necessary to treat the atomic-relaxation contributions. Procedures for computationally verifying these expressions by comparison with numerical derivatives of ground-state calculations are described and illustrated.
Hamann D. R.
Rabe Karin M.
Vanderbilt David
Wu Xifan
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