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We investigate the spin-glass transition in the strongly frustratedwell-known compound $Fe_2TiO_5$. A remarkable feature of this transition,widely discussed in the literature, is its anisotropic properties: thetransition manifests itself in the magnetic susceptibly only along one axis,despite $Fe^{3+}$ $d^5$ spins having no orbital component. We demonstrate,using neutron scattering, that below the transition temperature $T_g = 55 K$,$Fe_2TiO_5$ develops nanoscale surfboard shaped antiferromagnetic regions inwhich the $Fe^{3+}$ spins are aligned perpendicular to the axis which exhibitsfreezing. We show that the glass transition may result from the freezing oftransverse fluctuations of the magnetization of these regions and we develop amean-field replica theory of such a transition, revealing a type of magneticvan der Waals effect.

Fluctuation-Induced Interactions and the Spin Glass Transition in $Fe_2TiO_5$