arXiv · 2005.10605
Emergent magnetic behaviour in the frustrated Yb$_3$Ga$_5$O$_{12}$ garnet
Abstract
We report neutron scattering, magnetic susceptibility and Monte Carlo theoretical analysis to verify the short range nature of the magnetic structure and spin-spin correlations in a Yb$_3$Ga$_5$O$_{12}$ single crystal. The quantum spin state of Yb$^{3+}$ in Yb$_3$Ga$_5$O$_{12}$ is verified. The quantum spins organise into a short ranged emergent director state for T $<$ 0.4 K derived from anisotropy and near neighbour exchange. We derive the magnitude of the near neighbour exchange interactions $0.6\; {\rm K} < J_1 < 0.7\; {\rm K}, J_2 = 0.12$~K and the magnitude of the dipolar exchange interaction, $D$, in the range $0.18 < D < 0.21$ K. Certain aspects of the broad experimental dataset can be modelled using a $J_1D$ model with ferromagnetic near neighbour spin-spin correlations while other aspects of the data can be accurately reproduced using a $J_1J_2D$ model with antiferromagnetic near neighbour spin-spin correlation. As such, although we do not quantify all the relevant exchange interactions we nevertheless provide a strong basis for the understanding of the complex Hamiltonian required to fully describe the magnetic state of Yb$_3$Ga$_5$O$_{12}$.
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Lise Orduk Sandberg, Richard Edberg, Kasper S. Pedersen, Monica Ciomaga Hatnean, Geetha Balakrishnan, Lucile Mangin-Thro, Andrew Wildes, B. Fak, Georg Ehlers, Gabriele Sala, Patrik Henelius, Kim Lefmann, Pascale P. Deen. 2020-05-21. Emergent magnetic behaviour in the frustrated Yb$_3$Ga$_5$O$_{12}$ garnet. https://doi.org/10.1103/physrevb.104.064425
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