A spin liquid with pinch-line singularities on the pyrochlore lattice

Abstract

The mathematics of gauge theories lies behind many of the most profound advances in physics in the last 200 years, from Maxwell's theory of electromagnetism to Einstein's theory of general relativity. More recently it has become clear that gauge theories also emerge in condensed matter, a prime example being the spin ice materials which host an emergent electromagnetic gauge field. In spin ice, the underlying gauge structure is revealed by the presence of pinch-point singularities in neutron-scattering measurements. Here we report the discovery of a spin liquid where the low-temperature physics is naturally described by the fluctuations of a tensor field with a continuous gauge freedom. This gauge structure underpins an unusual form of spin correlations, giving rise to pinch-line singularities--- line-like analogues of the pinch-points observed in spin ice. Remarkably, these features may already have been observed in the pyrochlore material Tb${}_2$Ti${}_2$O${}_7$.

4 pages of main text, 3 figures

References in corpus (18)

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• Gapped and gapless short range ordered magnetic states with $(\frac{1}{2},\frac{1}{2},\frac{1}{2})$ wavevectors in the pyrochlore magnet Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+\delta }$
• Composite spin and quadrupole wave in the ordered phase of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
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• Frustrated quantum rare-earth pyrochlores
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• Quasiparticle Breakdown and Spin Hamiltonian of the Frustrated Quantum Pyrochlore Yb${}_2$Ti${}_2$O${}_7$ in Magnetic Field
• Evidence for a three-dimensional quantum spin liquid in PbCuTe${}_2$O${}_6$
• Real-time simulation of the Schwinger effect with Matrix Product States
• Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
• Experimental Insights into Ground State Selection of Quantum XY Pyrochlores
• Pinch Point Singularities of Tensor Spin Liquids
• Rank-2 $U(1)$ spin liquid on the breathing pyrochlore lattice
• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• Coulomb spin liquid in anion-disordered pyrochlore Tb${}_2$Hf${}_2$O${}_7$
• The quantum origins of moment fragmentation in Nd2Zr2O7
• Quantum spin ice with frustrated transverse exchange: from pi-flux phase to nematic quantum spin liquid
• Topological Route to New and Unusual Coulomb Spin Liquids
• Fragmentation in Frustrated Magnets -- A review
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• $(k,n)$-fractonic Maxwell theory
• A fractionalised "${\mathbb{Z}}_2$" classical Heisenberg spin liquid
• Quantum effects on unconventional pinch point singularities
• Unravelling competing microscopic interactions at a phase boundary: a single crystal study of the metastable antiferromagnetic pyrochlore Yb${}_2$Ge${}_2$O${}_7$
• Half moons are pinch points with dispersion
• Spin Ice Thin Film: Surface Ordering, Partial Magnetic Wetting and Emergent Square Ice
• Low energy structure of spiral spin liquids
• Hyperbolic Fracton Model, Subsystem Symmetry, and Holography II: The Dual Eight-Vertex Model
• Combined approach to analyze and classify families of classical spin liquids
• Jammed spin liquid in the bond-disordered kagome Heisenberg antiferromagnet
• Dynamics of K${}_2$Ni${}_2$(SO${}_4$)${}_3$ governed by proximity to a 3D spin liquid model
• Phase Competition in the Palmer-Chalker XY Pyrochlore Er${}_2$Pt${}_2$O${}_7$
• Identification of hidden order and emergent constraints in frustrated magnets using tensorial kernel methods
• Competing Gauge Fields and Entropically-Driven Spin Liquid to Spin Liquid Transition in non-Kramers Pyrochlores
• Tearing Fractons
• Realization of fractonic quantum phases in the breathing pyrochlore lattice
• Probing Flat Band Physics in Spin Ice Systems via Polarized Neutron Scattering
• Magnetic-field dependence of low-energy magnons, anisotropic heat conduction, and spontaneous relaxation of magnetic domains in the cubic helimagnet ZnCr2Se4
• A Classical Chiral Spin-Liquid from Chiral Interactions on the Pyrochlore Lattice
• Dynamical scaling as a signature of multiple phase competition in Yb${}_2$Ti${}_2$O${}_7$
• Ordered ground states of kagome magnets with generic exchange anisotropy
• Spectroscopic fingerprints of gapless type-II fracton phases
• Classification of Classical Spin Liquids: Topological Quantum Chemistry and Crystalline Symmetry
• Screening and the Pinch Point Paradox in Spin Ice
• Fragile spin liquid in three dimensions
• Dynamical Signatures of Rank-2 $U(1)$ Spin Liquids
• Higher-Rank Spin Liquids and Spin Nematics from Competing Orders in Pyrochlore Magnets
• Linear scaling relationship of Néel temperature and dominant magnons in pyrochlore ruthenates
• Irrational moments and signatures of higher-rank gauge theories in diluted classical spin liquids
• 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
• Human-machine collaboration: ordering mechanism of rank-2 spin liquid on breathing pyrochlore lattice
• Symmetry, Superposition and Fragmentation in Classical Spin Liquids: A General Framework and Applications to Square Kagome Magnets
• Spin and quadrupole correlations by three-spin interaction in the frustrated pyrochlore magnet Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Pinch-line spin liquids as layered Coulomb phases and applications to cubic models
• Quantum Spin Liquids Stabilized by Disorder in Non-Kramers Pyrochlores
• Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands
• Decorated cluster lattices: a natural framework for classical spin liquids and flat bands
• Quantum Coulomb Liquids of Different Rank in the Breathing Pyrochlore Antiferromagnet
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice