Pinch Point Singularities of Tensor Spin Liquids

Abstract

Recently, a new class of three-dimensional spin liquid models have been theoretically discovered, which feature generalized Coulomb phases of emergent symmetric tensor $U(1)$ gauge theories. These "higher rank" tensor models are particularly intriguing due to the presence of quasi-particles with restricted mobility, such as fractons. We investigate universal experimental signatures of tensor Coulomb phases. Most notably, we show that tensor Coulomb spin liquids (both quantum and classical) feature characteristic pinch-point singularities in their spin-spin correlation functions, accessible via neutron scattering, which can be readily distinguished from pinch points in conventional $U(1)$ spin liquids. These pinch points can thus serve as a crisp experimental diagnostic for such phases. We also tabulate the low-temperature heat capacity of various tensor Coulomb phases, which serves as a useful additional diagnostic in certain cases.

arXiv comment5.5 pages, 1 figure

References in corpus (79)

• Quantum Spin Liquids
• Quantum Spin Liquid States
• String-net condensation: A physical mechanism for topological phases
• Magnetic Pyrochlore Oxides
• Fractionalized excitations in the spin liquid state of a kagomé lattice antiferromagnet
• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• Local stabilizer codes in three dimensions without string logical operators
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Fracton Topological Order, Generalized Lattice Gauge Theory and Duality
• Quantum Glassiness
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Quantum Excitations in Quantum Spin Ice
• A New Kind of Topological Quantum Order: A Dimensional Hierarchy of Quasiparticles Built from Stationary Excitations
• The "Coulomb phase" in frustrated systems
• Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids
• Spin Ice, Fractionalization and Topological Order
• Spin Correlations in Ho${}_2$Ti${}_2$O${}_7$: a Dipolar Spin Ice System
• Analytic and numerical demonstration of quantum self-correction in the 3D Cubic Code
• Coulombic Quantum Liquids in Spin-1/2 Pyrochlores
• Generalized Electromagnetism of Subdimensional Particles: A Spin Liquid Story
• Exotic topological order in fractal spin liquids
• Fracton-Elasticity Duality
• Topological order in an exactly solvable 3D spin model
• Power-law spin correlations in pyrochlore antiferromagnets
• Quantum Field Theory of X-Cube Fracton Topological Order and Robust Degeneracy from Geometry
• Glassy quantum dynamics in translation invariant fracton models
• Subsystem symmetry protected topological order
• Fracton Models on General Three-Dimensional Manifolds
• Fracton topological order via coupled layers
• Physical realization of a quantum spin liquid based on a novel frustration mechanism
• Fractal symmetries: Ungauging the cubic code
• Three dimensional resonating valence bond liquids and their excitations
• The Higgs Mechanism in Higher-Rank Symmetric $U(1)$ Gauge Theories
• Unusual liquid state of hard-core bosons on the pyrochlore lattice
• Fracton topological order from Higgs and partial confinement mechanisms of rank-two gauge theory
• Emergent Gravity of Fractons: Mach's Principle Revisited
• Exotic order in simple models of bosonic systems
• Disorder-Induced Entanglement in Spin Ice Pyrochlores
• Fracton Topological Order from Nearest-Neighbor Two-Spin Interactions and Dualities
• Topological Quantum Glassiness
• Higher-Spin Witten Effect and Two-Dimensional Fracton Phases
• Disordered Route to the Coulomb Quantum Spin Liquid: Random Transverse Fields on Spin Ice in Pr${}_2$Zr${}_2$O${}_7$
• Gapless Bosonic Excitation without symmetry breaking: Novel Algebraic Spin liquid with soft Gravitons
• Emergent Phases of Fractonic Matter
• Fracton topological phases from strongly coupled spin chains
• Topological Entanglement Entropy of Fracton Stabilizer Codes
• Classical Spin Liquid: Exact Solution for the Infinite-Component Antiferromagnetic Model on the Kagomé Lattice
• X-Cube Fracton Model on Generic Lattices: Phases and Geometric Order
• Twisted Fracton Models in Three Dimensions
• On the origin of artificial electrodynamics and other stories in three-dimensional bosonic models
• Symmetric Fracton Matter: Twisted and Enriched
• Fractons from Partons
• Entanglement Entropy From Tensor Network States for Stabilizer Codes
• Correlation function diagnostics for type-I fracton phases
• Isotropic Layer Construction and Phase Diagram for Fracton Topological Phases
• Stable Gapless Bose Liquid Phases without any Symmetry
• Quantum ether: photons and electrons from a rotor model
• A spin liquid with pinch-line singularities on the pyrochlore lattice
• Spin Dynamics in Pyrochlore Heisenberg Antiferromagnets
• Time-reversal symmetric U(1) quantum spin liquids
• Fractonic line excitations : an inroad from 3d elasticity theory
• Recoverable Information and Emergent Conservation Laws in Fracton Stabilizer Codes
• Deciphering the nonlocal entanglement entropy of fracton topological orders
• Spin Liquid Regimes at Nonzero Temperature in Quantum Spin Ice
• Higher Rank Deconfined Quantum Criticality at the Lifshitz Transition and the Exciton Bose Condensate
• Ungauging quantum error-correcting codes
• Quantum spin ice on the breathing pyrochlore lattice
• A simple anisotropic three-dimensional quantum spin liquid with fracton topological order
• Propagation and Ghosts in the Classical Kagome Antiferromagnet
• Symmetry enriched U(1) quantum spin liquids
• Bulk characterization of topological crystalline insulators: stability under interactions and relations to symmetry enriched U(1) quantum spin liquids
• Superintegrability of Geodesic Motion on the Sausage Model
• General phase spaces: from discrete variables to rotor and continuum limits
• Discovery of Emergent Photon and Monopoles in a Quantum Spin Liquid
• Lattice Gerbe Theory
• ${\mathbb{Z}}_3$ Topological Order in Face Centered Cubic Quantum Plaquette Model

Cited by in corpus (57)

• Fracton Phases of Matter
• Fracton hydrodynamics
• Foliated fracton order from gauging subsystem symmetries
• Towards classification of Fracton phases: the multipole algebra
• Foliated Quantum Field Theory of Fracton Order
• Foliated Field Theory and String-Membrane-Net Condensation Picture of Fracton Order
• Twisted Fracton Models in Three Dimensions
• Cage-Net Fracton Models
• Rank-2 $U(1)$ spin liquid on the breathing pyrochlore lattice
• Multipolar Topological Field Theories: Bridging Higher Order Topological Insulators and Fractons
• Topological Defect Networks for Fractons of all Types
• Crystal-to-Fracton Tensor Gauge Theory Dualities
• Fractonic Chern-Simons and BF theories
• Fracton fusion and statistics
• Foliated fracton order in the checkerboard model
• Emergent Elasticity in Amorphous Solids
• Spectroscopic fingerprints of gapped quantum spin liquids, both conventional and fractonic
• Anisotropic layer construction of anisotropic fracton models
• Topological Route to New and Unusual Coulomb Spin Liquids
• Infinite families of fracton fluids with momentum conservation
• Gauging permutation symmetries as a route to non-Abelian fractons
• Fragmentation in Frustrated Magnets -- A review
• Compactifying fracton stabilizer models
• Fractons from polarons
• Quantum effects on unconventional pinch point singularities
• Majorana Quantum Lego, a Route Towards Fracton Matter
• Entanglement Spectra of Stabilizer Codes: A Window into Gapped Quantum Phases of Matter
• Combined approach to analyze and classify families of classical spin liquids
• Low energy structure of spiral spin liquids
• Dynamics of K${}_2$Ni${}_2$(SO${}_4$)${}_3$ governed by proximity to a 3D spin liquid model
• Tensor Electromagnetism and Emergent Elasticity in Jammed Solids
• Fractonic plaquette-dimer liquid beyond renormalization
• Fracton magnetohydrodynamics
• Competing Gauge Fields and Entropically-Driven Spin Liquid to Spin Liquid Transition in non-Kramers Pyrochlores
• Theory of Dipole Insulators
• Realization of fractonic quantum phases in the breathing pyrochlore lattice
• Multipole groups and fracton phenomena on arbitrary crystalline lattices
• Fractalizing quantum codes
• Non-Abelian defects in Fracton phase of matter
• Electric Circuit Realizations of Fracton Physics
• Fracton excitations in classical frustrated kagome spin models
• Holographic subdiffusion
• Spectroscopic fingerprints of gapless type-II fracton phases
• Dynamical Signatures of Rank-2 $U(1)$ Spin Liquids
• Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials
• Magnetic properties of the spiral spin liquid and surrounding phases in the square lattice XY model
• Human-machine collaboration: ordering mechanism of rank-2 spin liquid on breathing pyrochlore lattice
• Long-Range Correlations in Elastic Moduli and Local Stresses at the Unjamming Transition
• Pinch-point spectral singularity from the interference of topological loop states
• Non-Abelian fracton order from gauging a mixture of subsystem and global symmetries
• Classical fracton spin liquid and Hilbert space fragmentation in a 2D spin-$1/2$ model
• Pinch-line spin liquids as layered Coulomb phases and applications to cubic models
• Spinor ice correlation in flat-band electronic states on kagome and pyrochlore lattices with spin-orbit coupling
• Resonant dynamics of dipole-conserving Bose-Hubbard model with time-dependent tensor electric fields
• Quantum Coulomb Liquids of Different Rank in the Breathing Pyrochlore Antiferromagnet
• Hollow Lattice Tensor Gauge Theories with Bosonic Matter
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice