Spiral-spin-liquid behaviors and persistent reciprocal kagomé structure in frustrated van der Waals magnets and beyond

Abstract

We study classical $J_1$-$J_2$ models with distinct spin degrees of freedom on a honeycomb lattice. For the XY and Heisenberg spins, the system develops a spiral spin liquid (SSL) that is a thermal cooperative paramagnetic regime with spins fluctuating around the spiral contours in the momentum space, and at low temperatures supports a vector spin-chirality order despite the absence of long-range magnetic order. In a strong contrast, for the Ising moments, the low-temperature spin correlation forms a reciprocal "kagomé" structure in the momentum space that resembles the SSL behaviors and persists for a range of exchange couplings. The unexpected emergence and persistence of the reciprocal "kagomé" are attributed to the stiffness of the Ising moments and the frustration. At higher temperatures when the thermal fluctuations is strong and the spin correlation is not fully melted, the reciprocal structures evolve from the "kagomé" towards the ones demanded by the soft spin limit. This contrasts strongly with the behaviors of the spiral contours in the SSL regime for the continuous spins. We suggest various experimentally relevant systems including van der Waals magnets such as the transition metal phosphorus trichalcogenides TMPX${}_3$, Cr${}_2$Ge${}_2$Te${}_6$, the rare-earth chalcohalides (like HoOF, ErOF and DyOF) and other isostructural systems to realize the SSL-like behaviors and/or the reciprocal kagomé structure.

15 pages, 11 figures: Published version

References in corpus (24)

• Spin current and magneto-electric effect in non-collinear magnets
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Pseudospin exchange interactions in d^7 cobalt compounds: Possible realization of the Kitaev model
• Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
• Topological Magnons: A Review
• Kitaev-Heisenberg Hamiltonian for High-Spin $d^7$ Mott Insulators
• Theory of the [111] magnetization plateau in spin ice
• Spin-S Kitaev model: Classical Ground States, Order by Disorder and Exact Correlation Functions
• Interplay of quantum and thermal fluctuations in a frustrated magnet
• Magnetization process of spin ice in a [111] magnetic field
• Quantum spin liquids in frustrated spin-1 diamond antiferromagnets
• Kitaev materials beyond iridates: order by quantum disorder and Weyl magnons in rare-earth double perovskites
• Spinon Confinement in the One-Dimensional Ising-Like Antiferromagnet SrCo2V2O8
• Observation of nonreciprocal magneto-optical scattering in nonencapsulated few-layered CrI3
• Generic Spiral Spin Liquids
• Phase diagram study of a two-dimensional frustrated antiferromagnet via unsupervised machine learning
• Rare-earth chalcohalides: A family of van der Waals layered Kitaev spin liquid candidates
• Classical Spin Spirals in Frustrated Magnets from Free-Fermion Band Topology
• Pressure control of the magnetic anisotropy of the quasi-two-dimensional van der Waals ferromagnet Cr${}_2$Ge${}_2$Te${}_6$
• Theory of Ca${}_{10}$Cr${}_7$O${}_{28}$ as a bilayer breathing-kagome magnet: Classical thermodynamics and semi-classical dynamics
• Spin and chiral orderings of the antiferromagnetic XY model on the triangular lattice and their critical properties
• Critical properties of the frustrated Ising model on a honeycomb lattice: A Monte Carlo study
• Spiral-spin-liquid behaviors and persistent reciprocal kagomé structure in frustrated van der Waals magnets and beyond
• Classical spin liquids in stacked triangular lattice Ising antiferromagnets

Cited by in corpus (15)

• Spiral spin-liquid on a honeycomb lattice
• Low energy structure of spiral spin liquids
• Curie-law crossover in spin liquids
• Spiral-spin-liquid behaviors and persistent reciprocal kagomé structure in frustrated van der Waals magnets and beyond
• Line-Graph Approach to Spiral Spin Liquids
• Spiral spin liquid in a frustrated honeycomb antiferromagnet: A single-crystal study of GdZnPO
• Spiral Spin Liquid Noise
• Stacking-induced magnetic frustration and spiral spin liquid
• Frustration-driven topological textures on the honeycomb lattice: antiferromagnetic meron-antimeron and skyrmion crystals emerging from spiral spin liquids
• Giant Magnetocaloric Effect in a Honeycomb Spiral Spin-Liquid Candidate
• Itinerant and topological excitations in a honeycomb spiral spin liquid candidate
• Subsystem symmetries, critical Bose surface, and immobile excitations in an extended compass model
• Spiral spin liquid resilient to quantization in the frustrated honeycomb antiferromagnet GdZnPO
• Codimension-Two Spiral Spin-Liquid in the Effective Honeycomb-Lattice Compound Cs${}_3$Fe${}_2$Cl${}_9$
• Z${}_2$ topological orders in kagomé dipolar systems: Feedback from Rydberg quantum simulator