Dynamical structure factor of the three-dimensional quantum spin liquid candidate NaCaNi${}_2$F${}_7$

Abstract

We study the spin-1 pyrochlore material NaCaNi${}_2$F${}_7$ with a combination of molecular dynamics simulations, stochastic dynamical theory and linear spin wave theory. The dynamical structure factor from inelastic neutron scattering is well described with a near-ideal Heisenberg Hamiltonian incorporating small anisotropic terms {and weak second-neighbor interactions}. We find that all three approaches reproduce remarkably well the momentum dependence of the scattering intensity as well as its energy dependence with the exception of the lowest energies. These results are notable in that (i) the data show a complete lack of sharp quasiparticle excitations in momentum space over much, if not all, of the energy range; (ii) linear spin-wave theory appears to apply in a regime where it would be expected to fail for a number of reasons. We elucidate what underpins these surprises, and note that basic questions about the nature of quantum spin liquidity in such systems pose themselves as a result.

10 pages, 7 figures

References in corpus (15)

• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• A Field Guide to Spin Liquids
• Three dimensional resonating valence bond liquids and their excitations
• Unusual liquid state of hard-core bosons on the pyrochlore lattice
• Spin Freezing in Geometrically Frustrated Antiferromagnets with Weak Disorder
• Continuum of quantum fluctuations in a three-dimensional $S=1$ Heisenberg magnet
• Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
• Spin Dynamics in Pyrochlore Heisenberg Antiferromagnets
• Comprehensive study of the dynamics of a classical Kitaev spin liquid
• Magnetic excitations of the classical spin liquid MgCr2O4
• Magnetic clustering, half-moons, and shadow pinch points as signals of a proximate Coulomb phase in frustrated Heisenberg magnets
• Half moons are pinch points with dispersion
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• $\mu$SR study of spin freezing and persistent spin dynamics in NaCaNi${}_2$F${}_7$

Cited by in corpus (60)

• Witnessing quantum criticality and entanglement in the triangular antiferromagnet KYbSe${}_2$
• The case for a U(1)${}_{\pi }$ Quantum Spin Liquid Ground State in the Dipole-Octupole Pyrochlore Ce${}_2$Zr${}_2$O${}_7$
• Sleuthing out exotic quantum spin liquidity in the pyrochlore magnet Ce${}_2$Zr${}_2$O${}_7$
• Multiloop functional renormalization group approach to quantum spin systems
• Multiphase Magnetism in Yb2Ti2O7
• Bond-dependent anisotropy and magnon decay in cobalt-based Kitaev triangular antiferromagnet
• Classical spin dynamics based on SU($N$) coherent states
• Exchange Interactions Mediated by Non-Magnetic Cations in Double Perovskites
• Langevin dynamics of generalized spins as SU($N$) coherent states
• Frustrated Magnetism in Fluoride and Chalcogenide Pyrochlore Lattice Materials
• Adapting Planck's route to investigate the thermodynamics of the spin-half pyrochlore Heisenberg antiferromagnet
• Semi-classical simulation of spin-1 magnets
• Theory of Ca${}_{10}$Cr${}_7$O${}_{28}$ as a bilayer breathing-kagome magnet: Classical thermodynamics and semi-classical dynamics
• How many spin liquids are there in Ca${}_{10}$Cr${}_7$O${}_{28}$?
• Spin--lattice coupling and the emergence of the trimerized phase in the $S=1$ Kagome antiferromagnet Na${}_2$Ti${}_3$Cl${}_8$
• Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet
• Uncovering footprints of dipolar-octupolar quantum spin ice from neutron scattering signatures
• Spinon Excitations in the Quasi-1D S = 1/2 Chain Cs4CuSb2Cl12
• Skyrmion fluid and bimeron glass protected by a chiral spin liquid on a kagome lattice
• Classical and quantum phases of the pyrochlore $S=1/2$ magnet with Heisenberg and Dzyaloshinskii-Moriya interactions
• Curie-law crossover in spin liquids
• Projective symmetry group classification of chiral ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice: application to the spin-$1/2$ XXZ Heisenberg model
• Abundance of hard-hexagon crystals in the quantum pyrochlore antiferromagnet
• Thermal spin dynamics of Kitaev magnets $-$ scattering continua and magnetic field induced phases within a stochastic semiclassical approach
• Eight-color chiral spin liquid in the $S=1$ bilinear-biquadratic model with Kitaev interactions
• Frustration on a centred pyrochlore lattice in metal-organic frameworks
• Multimagnon dynamics and thermalization in the $S=1$ easy-axis ferromagnetic chain
• Quantum and classical spin dynamics across temperature scales in the S = 1/2 Heisenberg antiferromagnet
• Spin excitation continuum to topological magnon crossover and thermal Hall conductivity in Kitaev magnets
• Machine learning assisted derivation of effective low energy models for metallic magnets
• Quantum spin liquids on the diamond lattice
• Spin-orbital correlations from complex orbital order in MgV${}_2$O${}_4$
• Classical dynamics of the antiferromagnetic Heisenberg $S=1/2$ spin ladder
• Investigation of the monopole magneto-chemical potential in spin ices using capacitive torque magnetometry
• Dynamical Signatures of Rank-2 $U(1)$ Spin Liquids
• Structural and magnetic characterization of CeTa${}_7$O${}_{19}$ and YbTa${}_7$O${}_{19}$ with two-dimensional pseudospin-1/2 triangular lattice
• Disentangling spin excitation continua in classical and quantum magnets using 2D nonlinear spectroscopy
• Kernel Polynomial Method for Linear Spin Wave Theory
• Dipolar-octupolar correlations and hierarchy of exchange interactions in Ce${}_2$Hf${}_2$O${}_7$
• Short-range Spin Freezing State in the Double Trillium Lattice Spin-Liquid Candidate KSrFe${}_2$(PO${}_4$)${}_3$ Revealed via ${}^{31}$P NMR
• Softening of breathing elastic mode and trigonal elastic mode in disordered pyrochlore magnet NaCaCo${}_2$F${}_7$
• A High-Performance Implementation of Atomistic Spin Dynamics Simulations on x86 CPUs
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Excitonic transverse and amplitude fluctuations in the noncollinear and charge-ordered RbFe${}^{2+}$Fe${}^{3+}$F${}_6$
• Thermodynamics of the dipole-octupole pyrochlore magnet Ce${}_2$Hf${}_2$O${}_7$ in applied magnetic fields
• Magnetic properties of the spiral spin liquid and surrounding phases in the square lattice XY model
• The Future of the Correlated Electron Problem
• Classical spin models of the windmill lattice and their relevance for PbCuTe${}_2$O${}_6$
• Pulling order back from the brink of disorder: Observation of a nodal line spin liquid and fluctuation stabilized order in K${}_2$IrCl${}_6$
• $T-$linear resistivity from magneto-elastic scattering: application to PdCrO${}_2$
• Intermediate-scale theory for electrons coupled to frustrated local-moments
• Glassy disordered ground states in the frustrated pyrochlore and fluorite antiferromagnets NaCd$M_2$F${}_7$ ($M$ = Ni${}^{2+}$, Mn${}^{2+}$)
• Spin Excitation Continuum in the Exactly Solvable Triangular-Lattice Spin Liquid CeMgAl11O19
• Emulation of quantum correlations by classical dynamics in a spin-1/2 Heisenberg chain
• Pulsed Neutron Spectroscopy of Low Dimensional Magnets: Past, Present, and Future
• Anomalous Proximitized Transport in Metal/Quantum Magnet Heterostructure $\mathrm{B}{\mathrm{i}}_2\mathrm{I}{\mathrm{r}}_2{\mathrm{O}}_7/Y{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Quantitative functional renormalization for three-dimensional quantum Heisenberg models
• Incoherent transport in a classical spin liquid
• Anharmonic Collective Oscillations in Isotropic Spin Systems and their Spectroscopic Signatures
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice