Vibrating-coil magnetometry of the spin liquid properties of Tb2Ti2O7

We have explored the spin liquid state in Tb2Ti2O7 with vibrating coil magnetometry down to 0.04 K under magnetic fields up to 5 T. We observe magnetic history dependence below $T < 0.2$K reminiscent of the classical spin ice systems Ho2Ti2O7 and Dy2Ti2O7. The magnetic phase diagram inferred from the magnetization is essentially isotropic, without evidence of magnetization plateaux as anticipated for so-called quantum spin ice, predicted theoretically for [111] when quantum fluctuations renormalize the interactions. Instead, the magnetization for $T \ll T*$ agrees semi-quantitatively with the predictions of "all-in/all-out" (AIAO) antiferromagnetism. Taken together this suggests that the spin liquid state in Tb2Ti2O7 is akin to an incipient AIAO-antiferromagnet.