Nonuniform phases in the geometrically frustrated dissipative XYZ model

TL;DR

This paper explores the complex steady-state phases of a dissipative XYZ spin model on a triangular lattice, revealing rich nonuniform antiferromagnetic phases and the importance of short-range correlations in understanding these states.

Contribution

It introduces a cluster mean-field approach to uncover nonuniform phases and the role of geometrical frustration in the dissipative XYZ model.

Findings

Identification of various nonuniform antiferromagnetic phases

Disappearance of oscillatory phase with short-range correlations

Detection of spin-density-wave phase missed by single-site mean-field

Abstract

We investigate the steady-state phase diagram of the dissipative spin-1/2 XYZ model on a two-dimensional triangular lattice, in which each site is coupled to a local environment. By means of cluster mean-field approximation, we find that the steady-state phases of the system are rather rich, in particular there exist various types of nonuniform antiferromagnetic phases due to the geometrical frustration. As the short-range correlations included in the analysis, the numerical results show that the oscillatory phase disappears while the triantiferromagnetic and biantiferromagnetic phases remain to exist in the thermodynamic limit. Moreover, the existence of the spin-density-wave phase, which is missed by the single-site mean-field analysis, is also revealed by the spin-structure factor.