Physik-Department E21, Technische Universität München, D-85748 Garching, Germany.
Phys Rev Lett. 2012 Jul 27;109(4):047201. doi: 10.1103/PhysRevLett.109.047201. Epub 2012 Jul 23.
We have explored the spin liquid state in Tb(2)Ti(2)O(7) 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 Ho(2)Ti(2)O(7) and Dy(2)TiTi(2)O(7). The magnetic phase diagram inferred from the magnetization is essentially isotropic, without evidence of magnetization plateaus as anticipated for so-called quantum spin ice, predicted theoretically for [111] when quantum fluctuations renormalize the interactions. Instead, the magnetization for T≪T* agrees semiquantitatively with the predictions of "all-in-all-out" (AIAO) antiferromagnetism. Taken together, this suggests that the spin liquid state in Tb(2)Ti(2)O(7) is akin to an incipient AIAO antiferromagnet.
我们利用振动线圈磁强计在磁场高达 5T 的情况下,将 Tb(2)Ti(2)O(7)的自旋液体状态下的温度降低到了约 0.04K。我们在 T*~0.2K 以下观察到了类似于经典自旋冰系统 Ho(2)Ti(2)O(7)和 Dy(2)TiTi(2)O(7)的磁历史依赖性。从磁化率推断出的磁相图本质上是各向同性的,没有出现预期的所谓量子自旋冰的磁化平台,理论上预测当量子涨落重整化相互作用时,在[111]方向上会出现这种现象。相反,当 T≪T*时,磁化率与“全内全出”(AIAO)反铁磁的预测结果半定量一致。总的来说,这表明 Tb(2)Ti(2)O(7)中的自旋液体状态类似于初始的 AIAO 反铁磁体。