Spinon walk in quantum spin ice

Abstract

We study a minimal model for the dynamics of spinons in quantum spin ice. The model captures the essential strong coupling between the spinon and the disordered background spins. We demonstrate that the spinon motion can be mapped to a random walk with an entropy-induced memory in imaginary time. Our numerical simulation of the spinon walk indicates that the spinon propagates as a massive quasiparticle at low energy despite its strong coupling to the spin background at the microscopic energy scale. We discuss the experimental implications of our findings.

12 pages, 10 figures

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Cited by in corpus (16)

• Experimental signatures of emergent quantum electrodynamics in Pr${}_2$Hf${}_2$O${}_7$
• A Measure of Monopole Inertia in the Quantum Spin Ice Yb${}_2$Ti${}_2$O${}_7$
• Dynamics of Topological Excitations in a Model Quantum Spin Ice
• Instabilities of a U(1) quantum spin liquid in disordered non-Kramers pyrochlores
• Quantum dynamics of topological strings in a frustrated Ising antiferromagnet
• 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
• Epitaxial stabilization of (111)-oriented frustrated quantum pyrochlore thin films
• Prethermal time-crystalline spin ice and monopole confinement in a driven magnet
• Quantum tricriticality of incommensurate phase induced by quantum domain walls in frustrated Ising magnetism
• Inertial effects in systems with magnetic charge
• Trimer classical spin liquid from interacting fractional charges
• Flux roughening in spin ice with mixed $\pm J$ interactions