Free coherent spinons in quantum square ice

Abstract

We investigate the quantum dynamics of monopole-like excitations in quantum square ice, as captured by the strongly anisotropic spin-1/2 XXZ model on the checkerboard lattice. We obtain exact results for excitation dynamics in both analytically solvable effective models and a fully interacting model of quantum square ice on finite clusters. We find that the dispersive lower bound of the dynamic response of freely propagating spinons is recovered in the dynamic structure factor of the interacting system, yielding a marked fingerprint of coherent spinon dispersion. Our results provide unbiased evidence for the formation of coherent quasiparticles propagating freely in the correlated "vacuum" of quantum square ice.

v2: published version

References in corpus (12)

• Square ice in graphene nanocapillaries
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Unusual liquid state of hard-core bosons on the pyrochlore lattice
• Is the Yb2Ti2O7 pyrochlore a quantum spin ice?
• Cyclic exchange, isolated states and spinon deconfinement in an XXZ Heisenberg model on the checkerboard lattice
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Bosonic Many-body Theory of Quantum Spin Ice
• Bond order from disorder in the planar pyrochlore magnet
• The frustrated Heisenberg antiferromagnet on the checkerboard lattice: the $J_1$--$J_2$ model
• Resonating plaquette phase of a quantum six-vertex model
• Spectral functions and optical conductivity of spinless fermions on a checkerboard lattice
• The monopole movement

Cited by in corpus (11)

• Dynamics of Topological Excitations in a Model Quantum Spin Ice
• Phase Diagram and Conformal String Excitations of Square Ice using Gauge Invariant Matrix Product States
• Instabilities of a U(1) quantum spin liquid in disordered non-Kramers pyrochlores
• Diagnosing Fractionalization from the Spin Dynamics of $Z_2$ Spin Liquids on the Kagome Lattice by Quantum Monte Carlo Simulations
• Spectrum of itinerant fractional excitations in quantum spin ice
• Fingerprints of quantum spin ice in Raman scattering
• Semi-classical Approach to Quantum Spin Ice
• Prethermal time-crystalline spin ice and monopole confinement in a driven magnet
• Trimer classical spin liquid from interacting fractional charges
• Spin dynamics of the planar kagome lattice ferromagnet with four-site ring exchange processes
• Flux roughening in spin ice with mixed $\pm J$ interactions