Clustering of Topological Charges in a Kagome Classical Spin Liquid

Abstract

Fractionalization is a ubiquitous phenomenon in topological states of matter. In this work, we study the collective behavior of fractionalized topological charges and their instabilities, through the $J_1$-$J_2$-$J_3$ Ising model on a kagome lattice, which can be mapped to a model of interacting topological charges under the constraint of Gauss' law. We find that the recombination of topological charges gives rise to a yet unexplored classical spin liquid. This spin liquid is characterized by an extensive residual entropy, as well as the formation of hexamers of same-sign topological charges. The emergence of hexamers is reflected to a half-moon signal in the magnetic structure factor, which provides us a signature of this new spin liquid in neutron-scattering experiments. To study this phase, a worm algorithm has been developed which does not require the usual divergence-free condition.

5 pages, 3 figures for the main text, and 6 pages, 8 figures for Supplemental Material

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• Theory of Ca${}_{10}$Cr${}_7$O${}_{28}$ as a bilayer breathing-kagome magnet: Classical thermodynamics and semi-classical dynamics
• How many spin liquids are there in Ca${}_{10}$Cr${}_7$O${}_{28}$?
• Solving frustrated Ising models using tensor networks
• Partial lifting of degeneracy in the $J_1-J_2-J_3$ Ising antiferromagnet on the kagome lattice
• Artificial out-of-plane Ising antiferromagnet on the kagome lattice with very small further neighbour couplings
• Spectrum of itinerant fractional excitations in quantum spin ice
• Unified tensor network theory for frustrated classical spin models in two dimensions
• Schwinger boson theory of the J1,J2=J3 kagome antiferromagnet
• Fracton excitations in classical frustrated kagome spin models
• Field-selective classical spin liquid and magnetization plateaus on kagome lattice
• Trimer classical spin liquid from interacting fractional charges
• Pinch points and half-moons in dipolar-octupolar Nd${}_2$Hf${}_2$O${}_7$
• Magnetic Switching by Oxygen Adsorption in Metal-Organic Framework Systems
• Symmetry, Superposition and Fragmentation in Classical Spin Liquids: A General Framework and Applications to Square Kagome Magnets
• Pinch-point spectral singularity from the interference of topological loop states
• Emergent Snake Magnetic Domains in Canted Kagome Ice
• Flux roughening in spin ice with mixed $\pm J$ interactions
• Spinor ice correlation in flat-band electronic states on kagome and pyrochlore lattices with spin-orbit coupling
• Role of On-site and Inter-site Coulomb Interactions in KV${}_3$Sb${}_5$: A first-principles DFT+$U$+$V$ study
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands