Hierarchical single-ion anisotropies in spin-1 Heisenberg antiferromagnets on the honeycomb lattice

Abstract

We examine the thermal properties of the spin-1 Heisenberg antiferromagnet on the honeycomb lattice in the presence of an easy-plane single-ion anisotropy as well as the effects of an additional weak in-plane easy-axis anisotropy. In particular, using large-scale quantum Monte Carlo simulations, we analyze the scaling of the correlation length near the thermal phase transition into the ordered phase. This allows us to quantify the temperature regime above the critical point in which -- in spite of the additional in-plane easy-axis anisotropy -- characteristic easy-plane physics, such as near a Berezinskii-Kosterlitz-Thouless transition, can still be accessed. Our theoretical analysis is motivated by recent neutron scattering studies of the spin-1 compound BaNi${}_2$V${}_2$O${}_8$ in particular, and it addresses basic quantum spin models for generic spin-1 systems with weak anisotropies, which we probe over the full range of experimentally relevant correlation length scales.

15 pages, 16 figures

References in corpus (11)

• Generalized Directed Loop Method for Quantum Monte Carlo Simulations
• Quantum Monte Carlo study of S=1/2 weakly-anisotropic antiferromagnets on the square lattice
• Critical Binder cumulant in two-dimensional anisotropic Ising models
• Evidence of the Berezinskii-Kosterlitz-Thouless Phase in a Frustrated Magnet
• Detection of XY behaviour in weakly anisotropic quantum antiferromagnets on the square lattice
• Partial up-up-down order with the continuously distributed order parameter in the triangular antiferromagnet TmMgGaO4
• Critical scales in anisotropic spin systems from functional renormalization
• Investigation of the spin-1 honeycomb antiferromagnet BaNi${}_2$V${}_2$O${}_8$ with easy plane anisotropy
• Featureless quantum paramagnet with frustrated criticality and competing spiral magnetism on spin-1 honeycomb lattice magnet
• Extremely well isolated 2D spin-$1/2$ antiferromagnetic Heisenberg layers with small exchange coupling in the molecular-based magnet CuPOF
• Signatures for Berezinsky-Kosterlitz-Thouless critical behaviour in the planar antiferromagnet BaNi${}_2$V${}_2$O${}_8$

Cited by in corpus (5)

• Phases of the spin-1/2 Heisenberg antiferromagnet on the diamond-decorated square lattice in a magnetic field
• Magnetic properties of a spin-orbit entangled Jeff = 1/2 honeycomb lattice
• Quantitative description of long-range order in the anisotropic spin-1/2 Heisenberg antiferromagnet on the square lattice
• Field-tunable Berezinskii-Kosterlitz-Thouless correlations in a Heisenberg magnet
• Spin-qubit Noise Spectroscopy of Magnetic Berezinskii-Kosterlitz-Thouless Physics