Exact diagonalization study of the anisotropic Heisenberg model related to YbMgGaO${}_4$

Abstract

Employing exact diagonalization, we systematically study the anisotropic Heisenberg model which is related to rare-earth triangular-lattice materials. We probe its full 3D phase diagram afresh and identify a large region of quantum spin liquid (QSL) phase which can extend to the QSL region of the $J_1$--$J_2$ triangular Heisenberg model. Furthermore, we explore the magnetization curves of different phases and reproduce the 1/3-magnetization plateau in the quantum spin liquid phase region. More importantly, to study the possible chemical disorders in real materials, we consider the randomness of exchange interactions and find no spin glass order. And there is a large region of random-singlet phase which contains strongly random spin networks, dominated by two-spin singlets, four-spin singlets and other singlet domains. Our comprehensive ED study can give detailed insightful understanding of the microscopic Hamiltonian related to the YbMgGaO${}_4$ and some other related rare-earth triangular-lattice materials.

17 pages, 30 figures

References in corpus (22)

• 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${}_4$
• 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${}_2$
• Absence of magnetic thermal conductivity in the quantum spin liquid candidate YbMgGaO4
• 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${}_2$
• Quasiclassical magnetic order and its loss in a spin-1/2 Heisenberg antiferromagnet on a triangular lattice with competing bonds
• Spin excitations in the frustrated triangular lattice antiferromagnet NaYbO${}_2$
• Crystalline Electric-Field Excitations in Quantum Spin Liquids Candidate $NaYbS{e}_2$
• Rearrangement of uncorrelated valence bonds evidenced by low-energy spin excitations in YbMgGaO4
• Semiclassical ground-state phase diagram and multi-Q phase of a spin-orbit coupled model on triangular lattice
• Mott Transition and Superconductivity in Quantum Spin Liquid Candidate NaYbSe${}_2$
• Finite-temperature properties of the Kitaev-Heisenberg models on kagome and triangular lattices studied by improved finite-temperature Lanczos methods
• Electron Spin Resonance on the spin-1/2 triangular magnet NaYbS2
• Magnetization Process of the Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet with Next-Nearest-Neighbor Interactions -- Plateau or Nonplateau
• Persistent spin dynamics and absence of spin freezing in the $H$-$T$ phase diagram of the 2D triangular antiferromagnet YbMgGaO${}_4$
• Field evolution of the spin-liquid candidate YbMgGaO${}_4$
• Reinvestigation of the homogeneous spin model in YbMgGaO${}_4$

Cited by in corpus (14)

• Yb delafossites: unique exchange frustration of 4f spin 1/2 moments on a perfect triangular lattice
• Quantum Spin Dynamics Due to Strong Kitaev Interactions in the Triangular-Lattice Antiferromagnet CsCeSe${}_2$
• 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${}_4$
• Phase Diagram of YbZnGaO4 in Applied Magnetic Field
• Magnetism of $\mathrm{NaYb}{\mathrm{S}}_2$: From finite temperatures to ground state
• Magnetic properties of a spin-orbit entangled Jeff = 1/2 honeycomb lattice
• Projected entangled pair states study of anisotropic-exchange magnets on triangular lattice
• Dynamical properties of the Haldane chain with bond disorder
• Scaling and data collapse of two-dimensional random singlet state in magnetic field
• Exact diagonalization study of triangular Heisenberg model with four-spin ring-exchange interaction
• Emergent Dispersive Multipolar Excitations in NaErSe${}_2$
• 5d-mediated indirect exchange and effective spin Hamiltonians in Ce triangular-lattice delafossites
• Graphene-based quantum heterospin graphs