Frustrated Ising Model on the Garnet Lattice

Abstract

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