Variational analysis of a two-dimensional frustrated spin system: Emergence and rigidity of chirality transitions

Marco Cicalese, Marwin Forster, Gianluca Orlando

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We study the discrete-to-continuum variational limit of the J1-J3 spin model on the square lattice in the vicinity of the ferromagnet/helimagnet transition point as the lattice spacing vanishes. Carrying out the Γ-convergence analysis of proper scalings of the energy, we prove the emergence and characterize the geometric rigidity of the chirality phase transitions.

Original languageEnglish
Pages (from-to)4848-4893
Number of pages46
JournalSIAM Journal on Mathematical Analysis
Volume51
Issue number6
DOIs
StatePublished - 2019

Keywords

  • Calculus of variations
  • Chirality transitions
  • Frustrated lattice systems
  • Γ-convergence

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