Hydrogenic states of monopoles in diluted quantum spin ice

Abstract

We consider the effect of adding quantum dynamics to a classical topological spin liquid, with particular view to how best to detect its presence in experiment. For the Coulomb phase of spin ice, we find quantum effects to be most visible in the gauge-charged monopole excitations. In the presence of weak dilution with nonmagnetic ions we find a particularly crisp phenomenon, namely the emergence of hydrogenic excited states in which a magnetic monopole is bound to a vacancy at various distances. Via a mapping to an analytically tractable single particle problem on the Bethe lattice, we obtain an approximate expression for the dynamic neutron scattering structure factor.

4 pages, 4 figures; supplemental material: 3 pages, 2 figures

References in corpus (7)

• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects
• Three dimensional resonating valence bond liquids and their excitations
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• Single-ion anisotropy and magnetic field response in spin ice materials Ho${}_2$Ti${}_2$O${}_7$ and Dy${}_2$Ti${}_2$O${}_7$
• Kondo impurities in the Kitaev spin liquid: Numerical renormalization group solution and gauge-flux-driven screening
• Frustrated Magnetism in Fluoride and Chalcogenide Pyrochlore Lattice Materials
• Coherent propagation of quasiparticles in topological spin liquids at finite temperature
• Spinon walk in quantum spin ice
• Spectrum of itinerant fractional excitations in quantum spin ice
• Fingerprints of quantum spin ice in Raman scattering
• Spectroscopy of spinons in Coulomb quantum spin liquids
• Free coherent spinons in quantum square ice
• Semi-classical Approach to Quantum Spin Ice
• Deviation from the dipole-ice model in the new spinel spin-ice candidate, MgEr${}_2$Se${}_4$
• The Coulomb potential V(r)=1/r and other radial problems on the Bethe lattice
• Flux roughening in spin ice with mixed $\pm J$ interactions
• Random Transverse Field Effects on Magnetic Noise in Spin Systems