Dynamical Axions in $U(1)$ Quantum Spin Liquids

Abstract

Since their proposal nearly half a century ago, physicists have sought axions in both high energy and condensed matter settings. Despite intense and growing efforts, to date experimental success has been limited, with the most prominent results arising in the context of topological insulators. Here we propose a novel mechanism whereby axions can be realized in quantum spin liquids. We discuss the necessary symmetry requirements and identify possible experimental realizations in candidate pyrochlore materials. In this context, the axions couple both to the external and to the emergent electromagnetic fields. We show that the interaction between the axion and the emergent photon leads to a characteristic dynamical response, which can be measured experimentally in inelastic neutron scattering. This work sets the stage for studying axion electrodynamics in the highly tunable setting of frustrated magnets.

arXiv commentv3: published version

References in corpus (55)

• Topological Field Theory of Time-Reversal Invariant Insulators
• Quantum Spin Liquids
• Axions In String Theory
• Quantum Spin Liquid States
• Mott physics and band topology in materials with strong spin-orbit interaction
• Experimental Searches for the Axion and Axion-like Particles
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• A Field Guide to Spin Liquids
• Dynamical Axion Field in Topological Magnetic Insulators
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Quantum Excitations in Quantum Spin Ice
• The "Coulomb phase" in frustrated systems
• Spin Ice, Fractionalization and Topological Order
• Quantized Faraday and Kerr rotation and axion electrodynamics of a 3D topological insulator
• Axions as Dark Matter Particles
• Quantum Link Models: A Discrete Approach to Gauge Theories
• Coulombic Quantum Liquids in Spin-1/2 Pyrochlores
• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• Evidence for an axionic charge density wave in the Weyl semimetal (TaSe4)2I
• Seeing the light : experimental signatures of emergent electromagnetism in a quantum spin ice
• Axion Electrodynamics in Topological Materials
• Experimental signatures of a three-dimensional quantum spin liquid in effective spin-1/2 Ce2Zr2O7 pyrochlore
• Quantum Ice : a quantum Monte Carlo study
• Three dimensional resonating valence bond liquids and their excitations
• Photons and electrons as emergent phenomena
• Magnetic-Moment Fragmentation and Monopole Crystallization
• Exotic order in simple models of bosonic systems
• Topological BF field theory description of topological insulators
• Quantum Spin Ice Dynamics in the Dipole-Octupole Pyrochlore Magnet Ce${}_2$Zr${}_2$O${}_7$
• Frustration and anisotropic exchange in ytterbium magnets with edge-shared octahedra
• Higher-Spin Witten Effect and Two-Dimensional Fracton Phases
• Candidate Quantum Spin Liquid in the Ce\textsuperscript{3+} Pyrochlore Stannate Ce${}_2$Sn${}_2$O${}_7$
• Axion topological field theory of topological superconductors
• Experimental signatures of emergent quantum electrodynamics in Pr${}_2$Hf${}_2$O${}_7$
• Electric dipoles on magnetic monopoles in spin ice
• Abelian gauge theories on the lattice: $\theta$-terms and compact gauge theory with(out) monopoles
• Experimental Realization of a Quantum Breathing Pyrochlore Antiferromagnet
• Anisotropic exchange within decoupled tetrahedra in the quantum breathing pyrochlore Ba3Yb2Zn5O11
• Time-reversal symmetric U(1) quantum spin liquids
• A Measure of Monopole Inertia in the Quantum Spin Ice Yb${}_2$Ti${}_2$O${}_7$
• Origin of Light
• Dynamics of Topological Excitations in a Model Quantum Spin Ice
• Effective field theories for topological insulators by functional bosonization
• Physical properties of a candidate quantum spin-ice system Pr2Hf2O7
• Quantum spin ice on the breathing pyrochlore lattice
• Low-Energy Excitations and Ground State Selection in Quantum Breathing Pyrochlore Antiferromagnet Ba${}_3$Yb${}_2$Zn${}_5$O${}_{11}$
• The Emergent Fine Structure Constant of Quantum Spin Ice Is Large
• Fragmentation in Frustrated Magnets -- A review
• Lattice implementation of Abelian gauge theories with Chern-Simons number and an axion field
• Fragmented monopole crystal, dimer entropy and Coulomb interactions in Dy${}_2$Ir${}_2$O${}_7$
• Monopole density and antiferromagnetic domain control in spin-ice iridates
• Emergent higher-symmetry protected topological orders in the confined phase of $U(1)$ gauge theory
• Spectroscopy of spinons in Coulomb quantum spin liquids
• Semi-classical Approach to Quantum Spin Ice
• Dyon condensation in topological Mott insulators

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• Multiphoton Spectroscopy of a Dynamical Axion Insulator
• Neutron scattering from fragmented frustrated magnets
• Synthetic magnetoelectric response of lattice bosonic insulators
• Theta electromagnetism in quantum spin ice: Microscopic analysis of improper symmetries