Peierls Barrier Analysis

In an earlier paper a method was described for numerical calculation of the Peierls energy barrier to dislocation motion in the Frenkel-Kontorova model. The present paper reports an approximate analytical calculation of the barrier for the model with a cubic substrate, and compares the barrier analytically calculated with the barrier numerically calculated by the earlier method. The analytical method relates the barrier to poles on an axis of imaginary lattice spacing.