Modulated phases and upsilon points in a spin model with helical ordering

Kazuo Sasaki

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18 Citations (Scopus)


The ground state of a one-dimensional, classical XY 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 contains upsilon 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.

Original languageEnglish
Pages (from-to)1013-1035
Number of pages23
JournalJournal of Statistical Physics
Issue number5-6
Publication statusPublished - 1992 Sept 1


  • Modulated phases
  • XY model
  • ground states
  • helical spin structures
  • interface interactions
  • interfaces
  • phase diagrams

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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