Spectrum of itinerant fractional excitations in quantum spin ice

Abstract

We study the quantum dynamics of fractional excitations in quantum spin ice. We focus on the density of states in the two-monopole sector, $\rho (\omega )$, as this can be connected to the wavevector-integrated dynamical structure factor accessible in neutron scattering experiments. We find that $\rho (\omega )$ exhibits a strikingly characteristic singular and asymmetric structure which provides a useful fingerprint for comparison to experiment. $\rho (\omega )$ obtained from exact diagonalisation of a finite cluster agrees well with that from the analytical solution of a hopping problem on a Husimi cactus representing configuration space, but not with the corresponding result on a face-centred cubic lattice, on which the monopoles move in real space. The main difference between the latter two lies in the inclusion of the emergent gauge field degrees of freedom under which the monopoles are charged. This underlines the importance of treating both sets of degrees of freedom together, and presents a novel instance of dimensional transmutation.

arXiv comment5 pages, 3 figures with Supplemental material

References in corpus (22)

• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Magnetic Monopoles in Spin Ice
• Quantum Excitations in Quantum Spin Ice
• Spin Ice, Fractionalization and Topological Order
• Higgs transition from a magnetic Coulomb liquid to a ferromagnet in Yb_2Ti_2O_7
• Quantum fluctuations in the effective pseudospin-1/2 model for magnetic pyrochlore oxides
• Experimental signatures of emergent quantum electrodynamics in Pr${}_2$Hf${}_2$O${}_7$
• Thermal quenches in spin ice
• Low-temperature properties of the Hubbard model on highly frustrated one-dimensional lattices
• Thermal conductivity of quantum magnetic monopoles in the frustrated pyrochlore Yb2Ti2O7
• A Measure of Monopole Inertia in the Quantum Spin Ice Yb${}_2$Ti${}_2$O${}_7$
• Candidate quantum spin ice in the pyrochlore Pr${}_2$Hf${}_2$O${}_7$
• Dynamics of Topological Excitations in a Model Quantum Spin Ice
• Spin slush in an extended spin ice model
• When opposites repel: from metastability to extended chiral spin textures in spin ice with short-range topological-defect interactions
• Clustering of Topological Charges in a Kagome Classical Spin Liquid
• Spinon walk in quantum spin ice
• Hydrogenic states of monopoles in diluted quantum spin ice
• Quantum melting of charge ice and non-Fermi-liquid behavior: An exact solution for the extended Falicov-Kimball model in the ice-rule limit
• Structure factor of low-energy spin excitations in a S=1/2 kagome antiferromagnet
• Free coherent spinons in quantum square ice
• Mesonic excited states of magnetic monopoles in quantum spin ice

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• Pyrochlore U(1) spin liquid of mixed symmetry enrichments in magnetic fields
• Coherent propagation of quasiparticles in topological spin liquids at finite temperature
• Spectroscopy of spinons in Coulomb quantum spin liquids
• Seeing beyond the light: Vison and photon electrodynamics in quantum spin ice
• Epitaxial stabilization of (111)-oriented frustrated quantum pyrochlore thin films
• Quantum percolation of monopole paths and the response of quantum spin ice
• The Hubbard model on the Bethe lattice via variational uniform tree states: metal-insulator transition and a Fermi liquid
• Finite Temperature Dynamics in 0-Flux and $\pi$-Flux Quantum Spin Ice: Self-Consistent Exclusive Boson Approach
• Dipolar-octupolar correlations and hierarchy of exchange interactions in Ce${}_2$Hf${}_2$O${}_7$
• Trimer classical spin liquid from interacting fractional charges
• Signatures of spinon dynamics and phase structure of dipolar-octupolar quantum spin ices in two-dimensional coherent spectroscopy
• Theory of collective excitations in the quadruple-$Q$ magnetic hedgehog lattices
• Replica theory for disorder-free spin-lattice glass transition on a tree-like simplex network
• Flux roughening in spin ice with mixed $\pm J$ interactions
• Spinon band flattening by its emergent gauge field in quantum kagome ice