On the Evaluation of the Pinning (Peierls) Energy of Kinks Due to Discreteness of Substrate Lattices

抄録

The functional form of the thickness dependence of the pinning energy of kinks due to discreteness of substrate lattices is discussed by using the contour integral method. It is shown that the functional form can be guessed without knowing the energy distribution as a function of coordinate. The relative stability of the kinks of the odd and the even types may be sometimes reversed according to the parameter values describing the substrate potential. The result previously reported for a nonlinear deformable potential is interpreted. The contour integral method is applied to calculate the pinning energy of the double quadratic kinks.