One-harmonic structures in the two-dimensional incommensurate solids

Abstract
We compare the one-harmonic incommensurate configuration derived from the many-wall solution of the sine-Gordon equation with that found within the discrete model in the weak-pinning limit. We show explicitly that they coincide in the long-wavelength regime where there is no pinning and discuss the stability of the pinned short-wavelength deformations. General structure of the ground state and the experimental evidence of weak and strong pinning in periodically modulated superconductors are also discussed.