Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange

Abstract

Frustration in magnetic interactions can give rise to disordered ground states with subtle and beautiful properties. The spin ices Ho2Ti2O7 and Dy2Ti2O7 exemplify this phenomenon, displaying a classical spin liquid state, with fractionalized magnetic--monopole excitations. Recently there has been great interest in closely-related "quantum spin ice" materials, following the realization that anisotropic exchange interactions could convert spin ice into a massively-entangled, quantum, spin liquid, where magnetic monopoles become the charges of an emergent quantum electrodynamics. Here we show that even the simplest model of a quantum spin ice, the XXZ model on the pyrochlore lattice, can realise a still-richer scenario. Using a combination of classical Monte Carlo simulation, semi--classical molecular--dynamics simulation, and analytic field theory, we explore the properties of this model for frustrated transverse exchange. We find not one, but three, competing forms of spin liquid, as well as a phase with hidden, spin-nematic, order. We explore the experimental signatures of each of these different states, making explicit predictions for inelastic neutron scattering. These results show an intriguing similarity to experiments on a range of pyrochlore oxides.

arXiv comment14 pages (8 in main text), 8 figures (5 in main text). Published in Physical Review X

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• Experimental signatures of emergent quantum electrodynamics in Pr${}_2$Hf${}_2$O${}_7$
• Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
• Probing hidden spin order with interpretable machine learning
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• Symmetry fractionalization in the gauge mean-field theory of quantum spin ice
• Projective symmetry group classification of chiral ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice: application to the spin-$1/2$ XXZ Heisenberg model
• Identification of hidden order and emergent constraints in frustrated magnets using tensorial kernel methods
• Curie-law crossover in spin liquids
• Spectroscopic signatures of fractionalization in octupolar quantum spin ice
• Magnetization plateaux cascade in the frustrated quantum antiferromagnet Cs${}_2$CoBr${}_4$
• Spin ice thin films: Large-N theory and Monte Carlo simulations
• Enhanced symmetry-breaking tendencies in the $S=1$ pyrochlore antiferromagnet
• Topological thermal Hall effect of "magnetic monopoles" in pyrochlore U(1) spin liquid
• Probing Flat Band Physics in Spin Ice Systems via Polarized Neutron Scattering
• Deviation from the dipole-ice model in the new spinel spin-ice candidate, MgEr${}_2$Se${}_4$
• Seeing beyond the light: Vison and photon electrodynamics in quantum spin ice
• Dynamical scaling as a signature of multiple phase competition in Yb${}_2$Ti${}_2$O${}_7$
• Asymmetric Ferromagnetic Criticality in Pyrochlore Ferromagnet Lu${}_2$V${}_2$O${}_7$
• Classification of Classical Spin Liquids: Topological Quantum Chemistry and Crystalline Symmetry
• Finite Temperature Dynamics in 0-Flux and $\pi$-Flux Quantum Spin Ice: Self-Consistent Exclusive Boson Approach
• Higher-Rank Spin Liquids and Spin Nematics from Competing Orders in Pyrochlore Magnets
• Thermodynamics and fractal dynamics of nematic spin ice, a doubly frustrated pyrochlore Ising magnet
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials
• Order, Disorder and Monopole Confinement in the Spin-$1/2$ XXZ Model on a Pyrochlore Tube
• Broken-Symmetry Ground States of the Heisenberg model on the Pyrochlore Lattice
• Human-machine collaboration: ordering mechanism of rank-2 spin liquid on breathing pyrochlore lattice
• Perfectly hidden order and Z2 confinement transition in a fully packed monopole liquid
• Classical spin models of the windmill lattice and their relevance for PbCuTe${}_2$O${}_6$
• Magnetic Field Response of Dipolar-Octupolar Quantum Spin Ice
• Confinement, reduced entanglement, and spin-glass order in a random quantum spin-ice model
• Quantum Spin Liquids in Pyrochlore Magnets With Non-Kramers Local Moments
• Anomalous Proximitized Transport in Metal/Quantum Magnet Heterostructure $\mathrm{B}{\mathrm{i}}_2\mathrm{I}{\mathrm{r}}_2{\mathrm{O}}_7/Y{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Classical fracton spin liquid and Hilbert space fragmentation in a 2D spin-$1/2$ model
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice
• Towards a global phase diagram of Ce-based dipolar-octupolar pyrochlore magnets under magnetic fields
• Quantum Coulomb Liquids of Different Rank in the Breathing Pyrochlore Antiferromagnet