Dynamics of K${}_2$Ni${}_2$(SO${}_4$)${}_3$ governed by proximity to a 3D spin liquid model

Abstract

Quantum spin liquids (QSLs) have become a key area of research in magnetism due to their remarkable properties, such as long-range entanglement, fractional excitations, pinch-point singularities, and topologically protected phenomena. In recent years, the search for QSLs has expanded into the three-dimensional world, where promising features have been found in materials that form pyrochlore and hyper-kagome lattices, despite the suppression of quantum fluctuations due to high dimensionality. One such material is the $S=1$ K${}_2$Ni${}_2$(SO${}_4$)${}_3$ compound, which belongs to the langbeinite family consisting of two interconnected trillium lattices. Although magnetically ordered, K${}_2$Ni${}_2$(SO${}_4$)${}_3$ has been found to exhibit a highly dynamical and correlated state which can be driven into a pure quantum spin liquid under magnetic fields of only $B\simeq 4$~T. In this article, we combine inelastic neutron scattering measurements with pseudo-fermion functional renormalization group (PFFRG) and classical Monte Carlo (cMC) calculations to study the magnetic properties of K${}_2$Ni${}_2$(SO${}_4$)${}_3$, revealing a high level of agreement between the experiment and theory. We further reveal the origin of the dynamical state in K${}_2$Ni${}_2$(SO${}_4$)${}_3$ by studying a larger set of exchange parameters, uncovering an `island of liquidity' around a focal point given by a magnetic network composed of tetrahedra on a trillium lattice.

References in corpus (48)

• Anyons in an exactly solved model and beyond
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Quantum Spin Liquids
• Kitaev quantum spin liquid - concept and materialization
• Spin-Liquid State in the S = 1/2 Hyperkagome Antiferromagnet Na4Ir3O8
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Properties of a classical spin liquid: the Heisenberg pyrochlore antiferromagnet
• Order versus Disorder in the Quantum Heisenberg Antiferromagnet on the Kagom{é} lattice: an approach through exact spectra analysis
• Spin Liquid Ground State of the Spin-1/2 Square $J_1$-$J_2$ Heisenberg Model
• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
• Dipolar spin correlations in classical pyrochlore magnets
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
• HORACE: software for the analysis of data from single crystal spectroscopy experiments at time-of-flight neutron instruments
• Low-energy sector of the S=1/2 Kagome antiferromagnet
• Power-law spin correlations in pyrochlore antiferromagnets
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• Direct evidence for a gapless $Z_2$ spin liquid by frustrating Néel antiferromagnetism
• Experimental signatures of a three-dimensional quantum spin liquid in effective spin-1/2 Ce2Zr2O7 pyrochlore
• Critical level crossings and gapless spin liquid in the square-lattice spin-$1/2$ $J_1$-$J_2$ Heisenberg antiferromagnet
• Evidence for a three-dimensional quantum spin liquid in PbCuTe${}_2$O${}_6$
• Witnessing quantum criticality and entanglement in the triangular antiferromagnet KYbSe${}_2$
• Gapless quantum spin liquid and global phase diagram of the spin-1/2 $J_1$-$J_2$ square antiferromagnetic Heisenberg model
• Pinch Point Singularities of Tensor Spin Liquids
• Functional renormalization group for three-dimensional quantum magnetism
• Bold Diagrammatic Monte Carlo Method Applied to Fermionized Frustrated Spins
• Schwinger-boson approach to quantum spin systems: Gaussian fluctuactions in the "natural" gauge
• Dynamical structure factor of the triangular antiferromagnet: the Schwinger boson theory beyond the mean field approach
• Symmetry fractionalization in the topological phase of the spin-$\frac{1}{2}$ $J_1$-$J_2$ triangular Heisenberg model
• A spin liquid with pinch-line singularities on the pyrochlore lattice
• Coulomb spin liquid in anion-disordered pyrochlore Tb${}_2$Hf${}_2$O${}_7$
• Spin-Ice State of the Quantum Heisenberg Antiferromagnet on the Pyrochlore Lattice
• Geometric frustration inherent to the trillium lattice, a sublattice of the B20 structure
• Phase diagram of a distorted kagome antiferromagnet and application to Y-kapellasite
• Signatures of a gearwheel quantum spin liquid in a spin-$\frac{1}{2}$ pyrochlore molybdate Heisenberg antiferromagnet
• Magnetic field induced quantum spin liquid in the two coupled trillium lattices of K${}_2$Ni${}_2$(SO${}_4$)${}_3$
• Fate of partial order on the trillium and distorted windmill lattices
• Pseudo-fermion functional renormalization group for spin models
• Non-linear magnons and exchange Hamiltonians of delafossite proximate quantum spin liquids
• A fractionalised "${\mathbb{Z}}_2$" classical Heisenberg spin liquid
• Pinch-points to half-moons and up in the stars: the kagome skymap
• Quantum effects on unconventional pinch point singularities
• Absence of spin liquid phase in the $J_1-J_2$ Heisenberg model on the square lattice
• Continuous spin excitations in the three-dimensional frustrated magnet K2Ni2(SO4)3
• Classical and quantum phases of the pyrochlore $S=1/2$ magnet with Heisenberg and Dzyaloshinskii-Moriya interactions
• Enhanced symmetry-breaking tendencies in the $S=1$ pyrochlore antiferromagnet
• Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice
• Quantum-to-classical correspondence in two-dimensional Heisenberg models
• Interplay between spatial anisotropy and further exchange interactions in the triangular Heisenberg model

Cited by in corpus (12)

• Pseudo-fermion functional renormalization group for spin models
• Continuum of spin excitations in an ordered magnet
• A Classical Chiral Spin-Liquid from Chiral Interactions on the Pyrochlore Lattice
• Field-induced spin liquid in the decorated square-kagome antiferromagnet nabokoite KCu${}_7$TeO${}_4$(SO${}_4$)${}_5$Cl
• Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials
• Short-range Spin Freezing State in the Double Trillium Lattice Spin-Liquid Candidate KSrFe${}_2$(PO${}_4$)${}_3$ Revealed via ${}^{31}$P NMR
• Coexistence of anomalous spin dynamics and weak magnetic order in a chiral trillium lattice K2FeSn(PO4)3
• Taming spin susceptibilities in frustrated quantum magnets: Mean-field form and approximate nature of the quantum-to-classical correspondence
• Frustration and chirality in three-dimensional trillium lattices: Insights and Perspectives
• High-temperature series expansion of the dynamic Matsubara spin correlator
• Keldysh pseudo-fermion functional renormalization group for quantum magnetism
• Multistage development of short-range spin correlations and weak magnetic order in the two coupled trillium lattices of K2Fe2(MoO4)(PO4)2