Absent pinch points and emergent clusters: further neighbour interactions in the pyrochlore Heisenberg antiferromagnet

Abstract

We discuss the origin of spin correlations observed in neutron scattering experiments on the paramagnetic phase of a number of frustrated spinel compounds, most notably ZnCr2O4. These correlations are striking for two reasons. First, they have been interpreted as evidence for the formation of weakly interacting hexagonal clusters of spins. Second, they are very different from those calculated for the nearest neighbour Heisenberg pyrochlore antiferromagnet, in which Coulomb phase correlations generate sharp scattering features known as pinch points. Using large-$n$ calculations and Monte Carlo simulations, we show that very weak further neighbour exchange interactions can account for both the apparent formation of clusters and the suppression of pinch points.

12 pages, 9 figures, published version. Expanded section on dynamics + new short section on general J3a,J3b combinations + other minor alterations

References in corpus (20)

• Emergent excitations in a geometrically frustrated magnet
• Properties of a classical spin liquid: the Heisenberg pyrochlore antiferromagnet
• Low-temperature properties of classical, geometrically frustrated antiferromagnets
• Dipolar spin correlations in classical pyrochlore magnets
• Power-law spin correlations in pyrochlore antiferromagnets
• Statics and dynamics of an incommensurate spin order in a geometrically frustrated antiferromagnet CdCr${}_2$O${}_4$
• Ordering in the pyrochlore antiferromagnet due to Dzyaloshinsky-Moriya interactions
• Electronic band structure and exchange coupling constants in ACr2X4 spinels
• Dy2Ti2O7 Spin Ice: a Test Case for Emergent Clusters in a Frustrated Magnet
• Magnets with strong geometric frustration
• Optical phonons, spin correlations, and spin-phonon coupling in the frustrated pyrochlore magnets CdCr2O4 and ZnCr2O4
• Molecular spin resonance in the geometrically frustrated MgCr2O4 magnet by inelastic neutron scattering
• Spin Dynamics in Pyrochlore Heisenberg Antiferromagnets
• Partial order from disorder in a classical pyrochlore antiferromagnet
• Unconventional continuous phase transition in a three dimensional dimer model
• Broken parity and a chiral ground state in the frustrated magnet CdCr2O4
• Dzyaloshinsky-Moriya-Induced Order in the Spin-Liquid Phase of the S=1/2 Pyrochlore Antiferromagnet
• Novel ordering of the pyrochlore Heisenberg antiferromagnet with the ferromagnetic next-nearest-neighbor interaction
• Spin Liquid Phase in the Pyrochlore Antiferromagnet
• Structural phase transitions in geometrically frustrated antiferromagnets

Cited by in corpus (55)

• Continuum of quantum fluctuations in a three-dimensional $S=1$ Heisenberg magnet
• Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
• Liquid-like correlations in single crystalline Y2Mo2O7: an unconventional spin glass
• Breathing chromium spinels: a showcase for a variety of pyrochlore Heisenberg Hamiltonians
• A spin liquid with pinch-line singularities on the pyrochlore lattice
• Magnetic order, magnetic correlations and spin dynamics in the pyrochlore antiferromagnet Er2Ti2O7
• Hybridized quadrupolar excitations in the spin-anisotropic frustrated magnet FeI2
• Refrustration and competing orders in the prototypical Dy2Ti2O7 spin ice material
• Empirical Magnetic Structure of Frustrated Spin Systems
• Magnetic Interactions of the Centrosymmetric Skyrmion Material Gd2PdSi3
• Signatures of a gearwheel quantum spin liquid in a spin-$\frac{1}{2}$ pyrochlore molybdate Heisenberg antiferromagnet
• Magnetic excitations of the classical spin liquid MgCr2O4
• Spin slush in an extended spin ice model
• Semi-classical spin dynamics of the antiferromagnetic Heisenberg model on the kagome lattice
• Resistivity Minimum in Highly Frustrated Itinerant Magnets
• Cubic and non-cubic multiple-q states in the Heisenberg antiferromagnet on the pyrochlore lattice
• Topological Sector Fluctuations and Curie Law Crossover in Spin Ice
• Spiral spin-liquid on a honeycomb lattice
• Ground-state selection and spin-liquid behaviour in the classical Heisenberg model on the breathing pyrochlore lattice
• Emergence of highly degenerate excited states in frustrated magnet MgCr${}_2$O${}_4$
• Magnetic clustering, half-moons, and shadow pinch points as signals of a proximate Coulomb phase in frustrated Heisenberg magnets
• Pseudo-Goldstone magnons in the frustrated S=3/2 Heisenberg helimagnet ZnCr2Se4 with a pyrochlore magnetic sublattice
• Cluster Frustration in the Breathing Pyrochlore Magnet LiGaCr4S8
• 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 Hamiltonian, {Order Out of a Coulomb Phase} and Pseudo-Criticality in the Highly Frustrated Pyrochlore Heisenberg Antiferromagnet FeF${}_3$}
• Continuous spin excitations in the three-dimensional frustrated magnet K2Ni2(SO4)3
• Manifolds of magnetic ordered states and excitations in the almost Heisenberg pyrochlore antiferromagnet MgCr2O4
• Curie-law crossover in spin liquids
• Abundance of hard-hexagon crystals in the quantum pyrochlore antiferromagnet
• Scattering Signatures of Bond-Dependent Magnetic Interactions
• Reentrance of disorder in the anisotropic shuriken Ising model
• Spin ice thin films: Large-N theory and Monte Carlo simulations
• Frustrated Magnetism in Mott Insulating (V${}_{1-x}$Cr${}_x$)${}_2$O${}_3$
• Competing Gauge Fields and Entropically-Driven Spin Liquid to Spin Liquid Transition in non-Kramers Pyrochlores
• Fractionalized topological insulators from frustrated spin models in three dimensions
• Mott-Hubbard transition and spin-liquid state on the pyrochlore lattice
• Probing Flat Band Physics in Spin Ice Systems via Polarized Neutron Scattering
• Seeing beyond the light: Vison and photon electrodynamics in quantum spin ice
• Frustrated magnetic interactions in FeSe
• Spin dynamics of the antiferromagnetic Heisenberg model on a kagome bilayer
• Classification of Classical Spin Liquids: Topological Quantum Chemistry and Crystalline Symmetry
• Sublattice Pairing in Pyrochlore Heisenberg Antiferromagnets
• Higher-Rank Spin Liquids and Spin Nematics from Competing Orders in Pyrochlore Magnets
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Thermodynamics and fractal dynamics of nematic spin ice, a doubly frustrated pyrochlore Ising magnet
• Pinch-point spectral singularity from the interference of topological loop states
• Dynamic Spin-Lattice Coupling and Statistical Interpretation for the Molecular-Like Excitations in Frustrated Pyrochlores
• Symmetry, Superposition and Fragmentation in Classical Spin Liquids: A General Framework and Applications to Square Kagome Magnets
• Quantitative functional renormalization for three-dimensional quantum Heisenberg models
• Spinor ice correlation in flat-band electronic states on kagome and pyrochlore lattices with spin-orbit coupling
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands
• Anisotropic Spin Ice on a Breathing Pyrochlore Lattice
• Strongly frustrated 2D magnetism in a 3D hexagonal perovskite