Antiferromagnetic Ising model on inverse perovskite lattice

Daisuke Tahara*, Yukitoshi Motome, Masatoshi Imada

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

30 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
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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