Competition between supersolid phases and magnetisation plateaux in the frustrated easy-axis antiferromagnet on a triangular lattice

TL;DR

This study explores the complex magnetic phase diagram of a frustrated triangular lattice antiferromagnet with easy-axis anisotropy, revealing multiple supersolid phases and magnetization plateaux through simulations and theoretical analysis.

Contribution

It provides the first comprehensive analysis of how easy-axis anisotropy influences supersolid phases and magnetization plateaux in a frustrated triangular lattice antiferromagnet.

Findings

Identification of multiple magnetic supersolid phases.

Observation of competition between supersolids and collinear phases.

Discovery of a supersolid phase possibly observed in AgNiO2.

Abstract

The majority of magnetic materials possess some degree of magnetic anisotropy, either at the level of a single ion, or in the exchange interactions between different magnetic ions. Where these exchange interactions are also frustrated, the competition between them and anisotropy can stabilize a wide variety of new phases in applied magnetic field. Motivated by the hexagonal delafossite 2H-AgNiO 2, we study the Heisenberg antiferromagnet on a layered triangular lattice with competing first- and second-neighbour interactions and single-ion easy-axis anisotropy. Using a combination of classical Monte Carlo simulation, mean-field analysis, and Landau theory, we establish the magnetic phase diagram of this model as a function of temperature and magnetic field for a fixed ratio of exchange interactions, but with values of easy-axis anisotropy D extending from the Heisenberg (D =0) to the Ising (D=∞) limits. We uncover a rich variety of different magnetic phases. These include several phases which are magnetic supersolids (in the sense of Matsuda and Tstuneto or Liu and Fisher), one of which may already have been observed in AgNiO 2. We explore how this particular supersolid arises through the closing of a gap in the spin-wave spectrum, and how it competes with rival collinear phases as the easy-axis anisotropy is increased. The finite temperature properties of this phase are found to be different from those of any previously studied magnetic supersolid.