Fragmentation in Frustrated Magnets -- A review

Abstract

Spin liquids are exotic phases of matter that often support emergent gauge fields and quasi-particle excitations. While spin liquids are commonly known for remaining disordered, their definition has been extended to include phases with broken symmetry corresponding to (partial) long-range order, such as chiral and nematic spin liquids for example. For Coulomb spin liquids, this ordering can be quantitatively understood via a Helmholtz decomposition between divergence-free and divergence-full terms. This phenomenon has been coined fragmentation, where spin degrees of freedom fragment into two components; the fluctuating disordered part and the ordered one. In this review, we will cover the theoretical and experimental aspects of this growing field, in particular its relation to magnetic monopoles in spin ice, its phase diagram and the possibility to observe it in solid-state crystal and artificial networks.

arXiv comment29 pages, 12 figures

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Cited by in corpus (20)

• Kagome qubit ice
• Beyond magnons in Nd2ScNbO7: An Ising pyrochlore antiferromagnet with all in all out order and random fields
• Absence of moment fragmentation in the mixed $B$-site pyrochlore Nd${}_2$GaSbO${}_7$
• Violation of the fluctuation-dissipation theorem and effective temperatures in spin ice
• Spin excitations in the kagome-lattice metallic antiferromagnet Fe${}_{0.89}$Co${}_{0.11}$Sn
• The Classical Heisenberg Model on the Centred Pyrochlore Lattice
• Dynamical Axions in $U(1)$ Quantum Spin Liquids
• Exactly solvable spin-1/2 XYZ models with highly-degenerate, partially ordered, ground states
• Electric activity at magnetic moment fragmentation in spin ice
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Neutron scattering from fragmented frustrated magnets
• High-frequency dielectric anomalies in a highly frustrated square kagome lattice nabokoite family compounds ACu${}_7$(TeO${}_4$)(SO${}_4$)${}_5$Cl (A=Na, K, Rb, Cs)
• Interplay of symmetry breaking and deconfinement in 3D quantum vertex models
• Square ice Coulomb phase as a percolated vertex lattice
• Thermal Conductivity of Square Ice
• Theta electromagnetism in quantum spin ice: Microscopic analysis of improper symmetries
• Ferromagnetic fragmented state in the pyrochlore Ho${}_2$Ru${}_2$O${}_7$
• Uncommon magnetic ordering in the quantum magnet Yb${}_3$Ga${}_5$O${}_{12}$
• Unusual Coulomb phase physics in the arctic square ice
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice