Experimental identification of quantum spin liquids

Abstract

In condensed matter physics, there is a novel phase termed "quantum spin liquid", in which strong quantum fluctuations prevent the long-range magnetic order from being established, and so the electron spins do not form an ordered pattern but remain "liquid" like even at absolute zero temperature. Such a phase is not involved with any spontaneous symmetry breaking and local order parameter, and to understand it is beyond the conventional phase transition theory. Due to the rich physics and exotic properties of quantum spin liquids, such as the long-range entanglement and fractional quantum excitations, which are believed to hold great potentials in quantum communication and computation, they have been intensively studied since the concept was proposed in 1973 by P. W. Anderson. Currently, experimental identifications of a quantum spin liquid still remain as a great challenge. Here, we highlight some interesting experimental progress that has been made recently. We also discuss some outstanding issues and raise questions that we consider to be important for future research.

arXiv commentA short review paper published in npj Quantum Materials. Due to the limitation on the number of references, we are very unfortunate to miss many excellent ones

References in corpus (72)

• Fault-tolerant quantum computation by anyons
• Anyons in an exactly solved model and beyond
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Quantum Spin Liquids
• Spin Ice State in Frustrated Magnetic Pyrochlore Materials
• Quantum Spin Liquid States
• Correlated quantum phenomena in the strong spin-orbit regime
• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Fractionalized excitations in the spin liquid state of a kagomé lattice antiferromagnet
• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Mott physics and band topology in materials with strong spin-orbit interaction
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Zoo of quantum-topological phases of matter
• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Relevance of the Heisenberg-Kitaev model for the honeycomb lattice iridates A_2IrO_3
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Identifying Topological Order by Entanglement Entropy
• Models and Materials for Generalized Kitaev Magnetism
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Spin-Liquid State in the S = 1/2 Hyperkagome Antiferromagnet Na4Ir3O8
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4
• Exact spectra, spin susceptibilities and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice
• Gapless spin-liquid ground state in the $S=1/2$ kagome antiferromagnet
• Rare-earth triangular lattice spin liquid: a single-crystal study of YbMgGaO${}_4$
• Evidence for a spinon Fermi surface in a triangular lattice quantum spin liquid candidate
• Evidence for a Gapped Spin-Liquid Ground State in a Kagome Heisenberg Antiferromagnet
• Excitations in the field-induced quantum spin liquid state of alpha-RuCl3
• Gapless quantum spin liquid ground state in the two-dimensional spin-1/2 triangular antiferromagnet YbMgGaO${}_4$
• Is 1T-TaS${}_2$ a 40 year old quantum spin liquid?
• On the stability of U(1) spin liquids in two dimensions
• Successive magnetic phase transitions in $\mathbf{\alpha }$-RuCl${}_3$: XY-like frustrated magnet on the honeycomb lattice
• Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
• Pseudospin exchange interactions in d^7 cobalt compounds: Possible realization of the Kitaev model
• Disorder-Induced Mimicry of a Spin Liquid in YbMgGaO${}_4$
• Fractional excitations in the square-lattice quantum antiferromagnet
• Spin-wave excitations evidencing the Kitaev interaction in single crystalline $\alpha$-RuCl${}_3$
• $\mu$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${}_4$
• Vaporization of Kitaev spin liquids
• Anomalous High-Energy Spin Excitations in La2CuO4
• A new high-temperature quantum spin liquid with polaron spins
• Spin-glass ground state in a triangular-lattice compound YbZnGaO${}_4$
• Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for $\alpha$-RuCl${}_3$ and Na${}_2$IrO${}_3$
• Physical realization of a quantum spin liquid based on a novel frustration mechanism
• Non-coplanar and counter-rotating incommensurate magnetic order stabilized by Kitaev interactions in $\gamma$-Li2IrO3
• Unconventional magnetic order on the hyperhoneycomb Kitaev lattice in $\beta$-Li2IrO3: full solution via magnetic resonant x-ray diffraction
• Gapped spin-1/2 spinon excitations in a new kagome quantum spin liquid compound Cu${}_3$Zn(OH)${}_6$FBr
• Observation of two types of anyons in the Kitaev honeycomb magnet
• Gapped spin liquid with ${\mathbb{Z}}_2$-topological order for kagome Heisenberg model
• Absence of magnetic thermal conductivity in the quantum spin liquid candidate YbMgGaO4
• Emergence of inhomogeneous moments from spin liquid in the triangular-lattice Mott insulator $\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$
• Theoretical investigation of the magnetic dynamics in $\alpha$-RuCl${}_3$
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• Spin-liquid-like state in a spin-1/2 square-lattice antiferromagnet perovskite induced by $d^{10}$-$d^0$ cation mixing
• Gapless excitations in the ground state of 1T-TaS${}_2$
• The low-temperature highly correlated quantum phase in the charge-density-wave 1T-TaS_2 compound
• Magnetic properties and heat capacity of the three-dimensional frustrated S=1/2 antiferromagnet PbCuTe2O6
• Ground-state phase diagram of an anisotropic spin-$1/2$ model on the triangular lattice
• Short-range correlations in the magnetic ground state of Na4Ir3O8
• Pressure-induced melting of magnetic order and emergence of new quantum state in alpha-RuCl3
• Heat transport study of the spin liquid candidate 1T-TaS2
• High-pressure magnetization and NMR studies on $\alpha$-RuCl${}_3$
• Frozen State and Spin Liquid Physics in Na4Ir3O8: an NMR study
• Evidence for a spinon Fermi surface in the triangular S=1 quantum spin liquid Ba${}_3$NiSb${}_2$O${}_9$
• Finite-temperature behavior of a classical spin-orbit-coupled model for ${\text{YbMgGaO}}_4$ with and without bond disorder
• Recent progress on magnetic-field studies on quantum-spin-liquid candidates
• Fractionalized spin-wave continuum in spin liquid states on the kagome lattice

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• Spin Nematics Meet Spin Liquids: Exotic Quantum Phases in the Spin-$1$ Bilinear-Biquadratic Model with Kitaev Interactions
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• The magnetic behaviour of Dy${}_2$Ir${}_2$O${}_7$ -- beyond the mean field approximation
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• Cubic* criticality emerging from a quantum loop model on triangular lattice
• Tensor network variational optimizations for real-time dynamics: application to the time-evolution of spin liquids
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• Magnetically disordered ground state in the triangular-lattice antiferromagnets Rb${}_3$Yb(VO${}_4$)${}_2$ and Cs${}_3$Yb(VO${}_4$)${}_2$
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