Abstract
The ground state of the XY model with competing interaction, which is reduced to the axial next nearest neighbour Ising model at a limit of infinite value of strength of twofold field, is studied from the viewpoint of solitons. Excitation energies of compressed and stretched solitons at phases with periods 6, 5 and 7 are obtained by numerical analysis of periodic states, from which phase boundaries are determined. Each of these phases is shown to have a finite stable range, which indicates that the ground state of the model has a type of devil's staircase structure.
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