Frustrated Ising model on the garnet lattice

TL;DR

This study explores the magnetic behavior of a frustrated Ising model on the garnet lattice, revealing no magnetic transitions with nearest-neighbor interactions and diverse phases influenced by long-range dipolar interactions.

Contribution

It provides the first systematic analysis of the garnet lattice Ising model, highlighting the impact of long-range interactions on its phase diagram.

Findings

No magnetic transition with nearest-neighbor couplings.

Large residual entropy at zero temperature.

Multiple phases emerge with long-range dipolar interactions.

Abstract

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.