Spin liquids in geometrically perfect triangular antiferromagnets

Abstract

The cradle of quantum spin liquids, triangular antiferromagnets show strong proclivity to magnetic order and require deliberate tuning to stabilize a spin-liquid state. In this brief review, we juxtapose recent theoretical developments that trace the parameter regime of the spin-liquid phase, with experimental results for Co-based and Yb-based triangular antiferromagnets. Unconventional spin dynamics arising from both ordered and disordered ground states is discussed, and the notion of a geometrically perfect triangular system is scrutinized to demonstrate non-trivial imperfections that may assist magnetic frustration in stabilizing dynamic spin states with peculiar excitations.

arXiv commentpublished version

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• Adiabatic demagnetization cooling well below the magnetic ordering temperature in the triangular antiferromagnet KBaGd(BO3)2
• Synthesis and Anisotropic Magnetism in Quantum Spin Liquid Candidates $A$YbSe${}_2$ ($A$ = K and Rb)
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• Kitaev magnetism through the prism of lithium iridate
• Utilizing frustration in Gd- and Yb-based oxides for milli-Kelvin adiabatic demagnetization refrigeration
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• Magnetic excitations, phase diagram and order-by-disorder in the extended triangular-lattice Hubbard model
• Structure and magnetism of a new hexagonal polymorph of Ba${}_3$Tb(BO${}_3$)${}_3$ with a quasi-2D triangular lattice
• Interplay between spatial anisotropy and further exchange interactions in the triangular Heisenberg model
• Electronic and structural properties of RbCeX${}_2$ (X${}_2$: O${}_2$, S${}_2$, SeS, Se${}_2$, TeSe, Te${}_2$)
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• Static and dynamic magnetic properties of the spin-5/2 triangle lattice antiferromagnet Na3Fe(PO4)2 studied by 31P NMR
• Structural, magnetic and magnetocaloric properties of triangular-lattice transition-metal phosphates
• Induced quantum magnetism on a triangular lattice of non-Kramers ions in PrMgAl11O19
• Short-range Spin Freezing State in the Double Trillium Lattice Spin-Liquid Candidate KSrFe${}_2$(PO${}_4$)${}_3$ Revealed via ${}^{31}$P NMR
• Doping-induced structural transformation in the spin-1/2 triangular-lattice antiferromagnet Na${}_2$Ba${}_{1-x}$Sr${}_x$Co(PO${}_4$)${}_2$
• Yb${}^{3+}$ $f$-$f$ excitations in NaYbSe${}_2$: benchmarking embedded-cluster quantum chemical schemes for 4$f$ insulators
• Frustration and chirality in three-dimensional trillium lattices: Insights and Perspectives
• Theory of magnetism for rare-earth magnets on the Shastry-Sutherland lattice with non-Kramers ions
• Symmetry, Superposition and Fragmentation in Classical Spin Liquids: A General Framework and Applications to Square Kagome Magnets
• Coexistence of static and dynamic local magnetic fields in an S = 3/2 honeycomb lattice antiferromagnet Co2Te3O8
• Topical review: the nature of the ground state and possibility of a quantum spin liquid in 1T metal dichalcogenides
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• Evidence for spin liquid behavior in the frustrated three-dimensional $S=1/2$ Heisenberg garnet NaCa${}_2$Cu${}_2$(VO${}_4$)${}_3$
• Universal fluctuating regime in triangular chromate antiferromagnets
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands