Ground-state phase diagram of an anisotropic spin-$1/2$ model on the triangular lattice

Abstract

Motivated by the recent experiment on a rare-earth material YbMgGaO${}_4$ [Y. Li \textit{et al.}, Phys. Rev. Lett. \textbf{115}, 167203 (2015)], which found that the ground state of YbMgGaO${}_4$ is a quantum spin liquid, we study the ground-state phase diagram of an anisotropic spin-$1/2$ model that was proposed to describe YbMgGaO${}_4$. Using the density-matrix renormalization group method in combination with the exact diagonalization, we calculate a variety of physical quantities, including the ground-state energy, the fidelity, the entanglement entropy and spin-spin correlation functions. Our studies show that in the quantum phase diagram there is a $120^{\circ }$ phase and two distinct stripe phases. The transitions from the two stripe phases to the $120^{\circ }$ phase are of the first order. However, the transition between the two stripe phases is not the first order, which is different from its classical counterpart. Additionally, we find no evidence for a quantum spin liquid in this model. Our results suggest that additional terms may be also important to model the material YbMgGaO${}_4$. These findings will stimulate further experimental and theoretical works in understanding the quantum spin liquid ground state in YbMgGaO${}_4$.

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References in corpus (47)

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Cited by in corpus (49)

• Disorder-Induced Mimicry of a Spin Liquid in YbMgGaO${}_4$
• Experimental identification of quantum spin liquids
• Geometry of quantum phase transitions
• Spin-glass ground state in a triangular-lattice compound YbZnGaO${}_4$
• Topography of Spin Liquids on a Triangular Lattice
• Field-induced instability of the quantum-spin-liquid ground state in the $J_{\mathrm{eff}}=\frac{1}{2}$ triangular-lattice compound NaYbO${}_2$
• Anisotropic-Exchange Magnets on a Triangular Lattice: Spin Waves, Accidental Degeneracies, and Dual Spin Liquids
• The Spinon Fermi Surface U(1) Spin Liquid in a Spin-Orbit-Coupled Triangular Lattice Mott Insulator YbMgGaO4
• Probing hidden spin order with interpretable machine learning
• Spin liquids in geometrically perfect triangular antiferromagnets
• Hierarchy of exchange interactions in the triangular-lattice spin-liquid YbMgGaO${}_4$
• Nearest-neighbor resonating valence bonds in YbMgGaO4
• Experimental signatures of quantum and topological states in frustrated magnetism
• Detecting spin fractionalization in a spinon Fermi surface spin liquid
• Yb delafossites: unique exchange frustration of 4f spin 1/2 moments on a perfect triangular lattice
• Selective measurements of intertwined multipolar orders: non-Kramers doublets on a triangular lattice
• Randomness induced spin-liquid-like phase in the spin-$1/2$ $J_1-J_2$ triangular Heisenberg model
• Finite-temperature behavior of a classical spin-orbit-coupled model for ${\text{YbMgGaO}}_4$ with and without bond disorder
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Fidelity susceptibility of the anisotropic $XY$ model: The exact solution
• Magnetic field effects on the quantum spin liquid behaviors of NaYbS${}_2$
• Quantum spin state transitions in spin-1 equilateral triangular lattice antiferromagnet Na${}_2$BaNi(PO${}_4$)${}_2$
• Quantum Spin Dynamics Due to Strong Kitaev Interactions in the Triangular-Lattice Antiferromagnet CsCeSe${}_2$
• Entanglements and correlations of one-dimensional quantum spin-1/2 chain with anisotropic power-law long range interactions
• Magnetic properties of triangular lattice antiferromagnets Ba3RB9O18 (R = Yb, Er)
• Rare-Earth Chalcogenides: An Inspiring Playground For Exploring Frustrated Magnetism
• Disorder-induced broadening of the spin waves in a triangular-lattice quantum-spin-liquid candidate YbZnGaO${}_4$
• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
• Persistent spin dynamics and absence of spin freezing in the $H$-$T$ phase diagram of the 2D triangular antiferromagnet YbMgGaO${}_4$
• Exact diagonalization study of the anisotropic Heisenberg model related to YbMgGaO${}_4$
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Persistent spin dynamics in the pressurized spin-liquid candidate YbMgGaO${}_4$
• Phase Diagram of YbZnGaO4 in Applied Magnetic Field
• Magnetism of $\mathrm{NaYb}{\mathrm{S}}_2$: From finite temperatures to ground state
• Stripe order and spin dynamics in triangular-lattice antiferromagnet KErSe${}_2$: A single-crystal study with a theoretical description
• Constraining the Parameter Space of a Quantum Spin Liquid Candidate in Applied Field with Iterative Optimization
• Evidence of Kitaev interaction in the monolayer 1T-CrTe${}_2$
• Reinvestigation of the homogeneous spin model in YbMgGaO${}_4$
• Projected entangled pair states study of anisotropic-exchange magnets on triangular lattice
• Anyonic phase transitions in the 1D extended Hubbard model with fractional statistics
• Canted antiferromagnetism in a spin-orbit coupled $S_{\text{eff}}=3/2$ triangular-lattice magnet DyAuGe
• Non-magnetic ion site disorder effects on the quantum magnetism of a spin-1/2 equilateral triangular lattice antiferromagnet
• Effective Model for Rare-earth Kitaev Materials and its Classical Monte Carlo Simulation
• Frustrated quantum spin systems in small triangular lattices studied with a numerical method
• Searching for superconductivity in doped triangular lattice Kitaev magnets
• Quantum selection of order and dynamic properties of Kitaev-Heisenberg ferromagnet on a triangular lattice
• Emergent Dispersive Multipolar Excitations in NaErSe${}_2$
• Reentrance of metal-insulator transition and magnetic competitions on a triangular lattice with second nearest-neighbor hopping
• Exact diagonalization study of triangular Heisenberg model with four-spin ring-exchange interaction