Antiferromagnetic Ising model on inverse perovskite lattice

Daisuke Tahara, Yukitoshi Motome, Masatoshi Imada

Research output: Contribution to journalArticle

29 Citations (Scopus)


We study thermodynamic properties of an antiferromagnetic Ising model on the inverse perovskite lattice by using Monte Carlo simulations. The lattice structure is composed of corner-sharing octahedra and contains three-dimensional (3D) geometrical frustration in terms of magnetic interactions. The system with the nearest-neighbor interactions alone does not exhibit any phase transition, leading to a degenerate ground state with large residual entropy. The degeneracy is lifted by an external magnetic field or by an anisotropy in the interactions. Depending on the anisotropy, they stabilize either a 3D ferrimagnetic state or a partially-disordered antiferromagnetic (PDAF) state with a dimensionality reduction to 2D. By the degeneracy-lifting perturbations, all the transition temperatures of these different ordered states continuously grow from zero, leaving an unusual zero-temperature critical point at the unperturbed point. Such a zero-temperature multicriticality is not observed in other frustrated structures such as face-centered cubic and pyrochlore. The transition to the PDAF state is represented by either the first- or second-order boundaries separated by tricritical lines, whereas the PDAF phase shows 1/3 magnetization plateaus.

Original languageEnglish
Article number013708
Journaljournal of the physical society of japan
Issue number1
Publication statusPublished - 2007 Jan 1
Externally publishedYes


  • Dimensionality reduction
  • Ferrimagnetism
  • Geometrical frustration
  • Inverse perovskite
  • Ising model
  • Magnetization plateau
  • Partial disorder
  • Residual entropy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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