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 ${\mathrm{YbMgGaO}}_4$.

arXiv comment7 pages, 7 figures. Accepted by Physics Review B

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• Constraining the Parameter Space of a Quantum Spin Liquid Candidate in Applied Field with Iterative Optimization
• 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