Ground states of the frustrated Blume-Emery-Griffiths model in a field

TL;DR

This paper investigates the ground-state properties of the frustrated Blume-Emery-Griffiths model on a triangular lattice under an external magnetic field, identifying different magnetic phases through analytical and Monte Carlo methods.

Contribution

It provides a detailed analysis of the model's ground states and phase diagram, highlighting the influence of frustration and external fields on magnetic phases.

Findings

Identification of regions with degenerate ground states

Discovery of distinct magnetic phases at finite temperatures

Monte Carlo simulations confirming phase behavior

Abstract

Ground-state properties of the Blume-Emery-Griffiths model with antiferromagnetic nearest-neighbor interactions on a triangular lattice are investigated in the presence of an external magnetic field. In particular, we explore the model's parameter space and identify regions with different degenerate ground states that may give rise to different magnetic phases also at finite temperatures. We demonstrate the presence of such phases by Monte Carlo simulations of magnetization processes for selected values of parameters.