Green's function method for calculation of strain field due to a quantum dot in a semi-infinite anisotropic solid

A computationally convenient Green's function method is described for calculation of strain characteristics of quantum dots in an anisotropic semi-infinite solid containing a free surface. Semi-analytic expressions are derived for the strain field due to a quantum dot, strain energy of a quantum dot, and strain-field interaction between 2 quantum dots. Numerical results are presented for the strain field due to a quantum dot in GaAs. It is shown that the effect of the free surface, which has been neglected in earlier calculations using Green's function methods, is quite significant.