Rare-Earth Chalcogenides: An Inspiring Playground For Exploring Frustrated Magnetism

Abstract

The rare-earth chalcogenide $AREC{h}_2$ family ($A=$ alkali metal or monovalent ions, $RE=$ rare earth, $Ch=$ chalcogen) has emerged as a paradigmatic platform for studying frustrated magnetism on a triangular lattice. The family members exhibit a variety of ground states, from quantum spin liquid to exotic ordered phases, providing fascinating insight into quantum magnetism. Their simple crystal structure and chemical tunability enable systematic exploration of competing interactions in quantum magnets. Recent neutron scattering and thermodynamic studies have revealed rich phase diagrams and unusual excitations, refining theoretical models of frustrated systems. This review provides a succinct introduction to $AREC{h}_2$ research. It summarizes key findings on crystal structures, single-ion physics, magnetic Hamiltonians, ground states, and low-energy excitations. By highlighting current developments and open questions, we aim to catalyze further exploration and deeper physical understanding on this frontier of quantum magnetism.

15 pages, 5 figures

References in corpus (42)

• Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
• $\mu$SR evidence for the U(1) quantum spin liquid ground state in the triangular antiferromagnet YbMgGaO${}_4$
• Crystalline Electric Field Randomness in the Triangular Lattice Spin-Liquid YbMgGaO${}_4$
• Giant Magnetocaloric Effect in Spin Supersolid Candidate Na${}_2$BaCo(PO${}_4$)${}_2$
• Anisotropic field-induced ordering in the triangular-lattice quantum spin liquid NaYbSe${}_2$
• Field-induced instability of the quantum-spin-liquid ground state in the $J_{\mathrm{eff}}=\frac{1}{2}$ triangular-lattice compound NaYbO${}_2$
• Quantum spin liquid ground state in the disorder free triangular lattice NaYbS${}_2$
• Strong quantum fluctuations in a quantum spin liquid candidate with a Co-based triangular lattice
• Field-induced magnetic transition and spin fluctuation in quantum spin liquid candidate CsYbSe${}_2$
• Gapped magnetic ground state in quantum-spin-liquid candidate $\kappa$-(BEDT-TTF)${}_2$-Cu${}_2$(CN)${}_3$
• A Class of Compounds Featuring Frustrated Triangular Magnetic Lattice CsRESe${}_2$ (RE=La-Lu): Quantum Spin-Liquid Candidates
• Spin excitations in the frustrated triangular lattice antiferromagnet NaYbO${}_2$
• Rearrangement of uncorrelated valence bonds evidenced by low-energy spin excitations in YbMgGaO4
• Thermal Hall effects in quantum magnets
• Yb delafossites: unique exchange frustration of 4f spin 1/2 moments on a perfect triangular lattice
• Complete field-induced spectral response of the spin-1/2 triangular-lattice antiferromagnet CsYbSe${}_2$
• LiYbSe2: Frustrated Magnetism in a New Pyrochlore Lattice
• Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
• Electron Spin Resonance on the spin-1/2 triangular magnet NaYbS2
• Synthesis, magnetization and heat capacity of triangular lattice materials NaErSe${}_2$ and KErSe${}_2$
• Non-linear magnons and exchange Hamiltonians of delafossite proximate quantum spin liquids
• Spin, Orbital and Charge Order at the Interface between Correlated Oxides
• Long-range magnetic order in the $\tilde{S}=1/2$ triangular lattice antiferromagnet KCeS${}_2$
• Quantum Spin Dynamics Due to Strong Kitaev Interactions in the Triangular-Lattice Antiferromagnet CsCeSe${}_2$
• Stripe-yz magnetic order in the triangular-lattice antiferromagnet KCeS2
• Magnetic properties and signatures of moment ordering in triangular lattice antiferromagnet KCeO${}_2$
• Exchange renormalized crystal field excitation in a quantum Ising magnet KTmSe${}_2$
• Diluting a triangular-lattice spin liquid: Synthesis and characterization of NaYb${}_{1-x}$Lu${}_x$S${}_2$ single crystals
• Tracking the evolution from isolated dimers to many-body entanglement in NaLu${}_x$Yb${}_{1-x}$Se${}_2$
• Stripe magnetic order and field-induced quantum criticality in the perfect triangular-lattice antiferromagnet CsCeSe${}_2$
• Role of alkaline metal in the rare-earth triangular antiferromagnet KYbO${}_2$
• Stripe order and spin dynamics in triangular-lattice antiferromagnet KErSe${}_2$: A single-crystal study with a theoretical description
• Spin-wave dynamics in the KCeS2 delafossite: A theoretical description of powder inelastic neutron-scattering data
• Magnetism of $\mathrm{NaYb}{\mathrm{S}}_2$: From finite temperatures to ground state
• Electronic and structural properties of RbCeX${}_2$ (X${}_2$: O${}_2$, S${}_2$, SeS, Se${}_2$, TeSe, Te${}_2$)
• Quantitative investigation of the short-range magnetic correlations in candidate quantum spin liquid NaYbO${}_2$
• Spectrum and low-temperature bulk properties of triangular quantum spin liquid candidate NaYbSe${}_2$
• Finite Temperature Magnetism in the Triangular Lattice Antiferromagnet KErTe2
• Magnetic field-temperature phase diagram of spin-1/2 triangular lattice antiferromagnet KYbSe${}_2$
• Structural and Electronic Properties of a Triangular Lattice Magnet NaPrTe${}_2$ Compared with NaNdTe${}_2$ and NaTbTe${}_2$
• Entanglement Randomness and Gapped Itinerant Carriers in a Frustrated Quantum Magnet

Cited by in corpus (7)

• Crystal-Field--Driven Magnetoelectricity in the Triangular Quantum Magnet CeMgAl${}_{11}$O${}_{19}$
• Gapless spinon excitations emerging from a multipolar transverse field in the triangular-lattice Ising antiferromagnet NaTmSe2
• Quantum selection of order and dynamic properties of Kitaev-Heisenberg ferromagnet on a triangular lattice
• Anomalous enhancement of magnetism by nonmagnetic doping in the honeycomb-lattice antiferromagnet ErOCl
• Emergent Dispersive Multipolar Excitations in NaErSe${}_2$
• 5d-mediated indirect exchange and effective spin Hamiltonians in Ce triangular-lattice delafossites
• Finite Spinon Density-of-States in Triangular-Lattice Delafossite TlYbSe${}_2$