Reinvestigation of the homogeneous spin model in YbMgGaO${}_4$

Abstract

Motivated by a recent inelastic neutron scattering experiment on ${\mathrm{YbMgGaO}}_4$ \cite{William2019}, we reinvestigate the homogeneous spin model on the triangular lattice. Using the cluster mean-field theory, we study the phase diagram and the magnetic-field-induced phase transition. We find that the phase boundary between the stripe state and the $120^{\circ }$ antiferromagnetic state is broadened by the magnetic field, leading to a field-induced phase transition. This phase transition is suppressed by the next-nearest neighbor exchange interaction $J_2/J_1$ and vanishes as $J_2/J_1>0.13$. We find a parameter space at $J_2/J_1=0.1$, in which the field-induce transition can be achieved and the deviation of theoretical spin excitation energies from experimental data is only $5.4\%$. Our results imply that an effective homogeneous spin model still works in ${\mathrm{YbMgGaO}}_4$.

7 pages, 7 figures. Accepted by Physics Review B

References in corpus (10)

• 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${}_2$
• Ba8CoNb6O24: a spin-1/2 triangular-lattice Heisenberg antiferromagnet in the 2D limit
• Semiclassical ground-state phase diagram and multi-Q phase of a spin-orbit coupled model on triangular lattice

Cited by in corpus (5)

• Disorder-induced broadening of the spin waves in a triangular-lattice quantum-spin-liquid candidate YbZnGaO${}_4$
• Exact diagonalization study of the anisotropic Heisenberg model related to YbMgGaO${}_4$
• Phase Diagram of YbZnGaO4 in Applied Magnetic Field
• Static and dynamical magnetic properties of the extended Kitaev-Heisenberg model with spin vacancies
• Phase transitions of the ferroelectric $({\mathrm{ND}}_4{)}_2{\mathrm{FeCl}}_5\cdot {\mathrm{D}}_2\mathrm{O}$ under a magnetic field