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.

arXiv comment15 pages, 16 figures

References in corpus (26)

• Double-slit photoelectron interference in strong-field ionization of the neon dimer
• Quantum Monte Carlo with Directed Loops
• Stochastic series expansion method with operator-loop update
• Computational Studies of Quantum Spin Systems
• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• Critical behavior of the three-dimensional XY universality class
• Generalized Directed Loop Method for Quantum Monte Carlo Simulations
• Universal Window for Two Dimensional Critical Exponents
• Quantum Monte Carlo study of S=1/2 weakly-anisotropic antiferromagnets on the square lattice
• Kosterlitz-Thouless Melting of Magnetic Order in the Triangular Quantum Ising Material TmMgGaO${}_4$
• Universality away from critical points in two-dimensional phase transitions
• Critical Binder cumulant in two-dimensional anisotropic Ising models
• Kosterlitz-Thouless transition of quantum XY model in two dimensions
• Evidence of the Berezinskii-Kosterlitz-Thouless Phase in a Frustrated Magnet
• Critical exponents of the quantum phase transition in a planar antiferromagnet
• Detection of XY behaviour in weakly anisotropic quantum antiferromagnets on the square lattice
• Scaling and universality in the phase diagram of the 2D Blume-Capel model
• Phase Diagram and Magnetic Excitations of Anisotropic Spin-One Magnets
• Partial up-up-down order with the continuously distributed order parameter in the triangular antiferromagnet TmMgGaO4
• Absence of zero-point entropy in a triangular Ising antiferromagnet
• The Kosterlitz-Thouless and magnetic transition temperatures in layered magnets with a weak easy-plane anisotropy
• 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