Emergent Quasi-Spin Anisotropy in Highly Frustrated Pseudobrookite $Fe_2TiO_5$.

Anisotropy in spin space originates from the combined effects of orbital occupation and spin-orbit coupling. The highly frustrated and disordered pseudobrookite $Fe_2TiO_5$, demonstrates purely Ising-like spin glass freezing at $T_f$ = 55K, despite its effective spins having no orbital component. Using neutron scattering, we find on cooling towards $T_f$, the growth of a surfboard-shaped region of antiferromagnetically-correlated spins aligned perpendicular to the Ising axis. This result strongly suggests that the transverse fluctuations of these regions are the "quasi-spin" degrees of freedom that freeze. Thus, the Ising anisotropy in $Fe_2TiO_5$ is an emergent property, driven by interactions among atomic spins.