Frustrated Ising model on the garnet lattice

Takuya Yoshioka, Akihisa Koga, Norio Kawakami

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


We investigate a frustrated Ising spin system on the garnet lattice composed of a specific network of corner-sharing triangles. By means of Monte Carlo simulations with the heat bath algorithm, we discuss the magnetic properties at finite temperatures. It is shown that the garnet spin system with the nearest-neighbor couplings does not exhibit any magnetic transitions, yielding the large residual entropy at zero temperature. We also investigate the effect of the long-range dipolar interaction systematically to determine the phase diagram of the Ising model on the garnet lattice. We find that there appear a variety of distinct phases depending on the cutoff length of the long-range interaction, in contrast to the pyrochlore spin-ice systems.

Original languageEnglish
Pages (from-to)1805-1811
Number of pages7
Journaljournal of the physical society of japan
Issue number7
Publication statusPublished - 2004 Jul
Externally publishedYes


  • Frustration
  • Garnet lattice
  • Ising model
  • Spin ice

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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