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Electrons in the pyrochore iridates experience a large interaction energy inaddition to a strong spin-orbit interaction. Both features make the iridatespromising for realizing novel states such as the Topological Mott Insulator.The pyrochlore iridate Eu$_2$Ir$_2$O$_7$ shows a metal-insulator transition at$T_N \sim$ 120 K below which a magnetically ordered state develops. Usingtorque magnetometry, we uncover a highly unusual magnetic response. A magneticfield $\bf H$ applied in its $a$-$b$ plane produces a nonlinear magnetization$M_\perp$ orthogonal to the plane. $M_\perp$ displays a $d$-wave field-anglepattern consistent with octupolar order, with a handedness dictated by fieldcooling, leading to symmetry breaking of the chirality $\omega$. A surprise isthat the lobe orientation of the $d$-wave pattern is sensitive to the directionof the field when the sample is field-cooled below $T_N$, suggestive of anadditional order parameter $\eta$ already present at 300 K.

Orthogonal Magnetization and Symmetry Breaking in Pyrochlore Iridate Eu2Ir2O7