A generalized Peierls–Nabarro model for kinked dislocations

We present a generalized Peierls-Nabarro model for curved dislocations incorporating directly the Peierls energies for both straight dislocations and dislocation kinks. In our model, the anisotropic elastic energy is calculated efficiently using the discrete Fourier transform on the discrete lattice sites of the slip plane, and the discreteness in both the elastic energy and the misfit energy is included. We have used our model to calculate the kink migration and nucleation energies of the 30 dislocations in silicon. The results agree well with those obtained using atomistic potentials and first principles calculations, and the experimental results.