Abstract
The ground state of a one-dimensional, classicalXY model with competing nearest- and next-nearest-neighbor interactions, a sixfold anisotropy, and an external field is studied. The model shows various modulated phases, depending on the values of the model parameters. Evidence is found that the ground-state phase diagram of this model containsupsilon points, multicritical points of a new class recently discussed by Bassler, Sasaki, and Griffiths. The phase diagram has a self-similar structure near these points, filled with multitudes of “mixed phases” whose spin configurations consist of segments of helical and fan structures separated by interfaces between them.
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Sasaki, K. Modulated phases and upsilon points in a spin model with helical ordering. J Stat Phys 68, 1013–1035 (1992). https://doi.org/10.1007/BF01048883
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DOI: https://doi.org/10.1007/BF01048883