Effect of further-neighbor interactions on the magnetization behaviors of the Ising model on a triangular lattice

TL;DR

This study uses Monte Carlo simulations to explore how additional neighbor interactions influence magnetization plateaus and spin states in the Ising model on a triangular lattice, revealing new stable magnetic phases.

Contribution

It identifies new magnetization plateaus and spin states caused by further-neighbor interactions, expanding understanding of magnetic behaviors in the Ising model.

Findings

Discovery of new magnetization plateaus at 5/7, 7/9, and 5/6 of saturation magnetization.

Identification of stabilized spin states due to competition between Zeeman and exchange energies.

Confirmation of known plateaus at 0, 1/3, and 1/2 saturation magnetization.

Abstract

In this work, we study the magnetization behaviors of the classical Ising model on the triangular lattice using Monte Carlo simulations, and pay particular attention to the effect of further-neighbor interactions. Several fascinating spin states are identified to be stabilized in certain magnetic field regions, respectively, resulting in the magnetization plateaus at 2/3, 5/7, 7/9 and 5/6 of the saturation magnetization MS, in addition to the well known plateaus at 0, 1/3 and 1/2 of MS. The stabilization of these interesting orders can be understood as the consequence of the competition between Zeeman energy and exchange energy.