Emergent magnetic behaviour in the frustrated Yb$_3$Ga$_5$O$_{12}$ garnet

Autor: Sandberg, Lise Orduk, Edberg, Richard, Pedersen, Kasper S., Hatnean, Monica Ciomaga, Balakrishnan, Geetha, Mangin-Thro, Lucile, Wildes, Andrew, Fak, B., Ehlers, Georg, Sala, Gabriele, Henelius, Patrik, Lefmann, Kim, Deen, Pascale P.
Rok vydání: 2020
Předmět:
Zdroj: Phys. Rev. B 104, 064425 (2021)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.104.064425
Popis: 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$_{12}$.
Comment: Main paper 10 pages, appendix 6 pages
Databáze: arXiv