Theory of quantum spin ice, Kondo effect, and anomalous Hall effect in pyrochlore magnets

为了理解磁性焦绿石氧化物Pr2(Ir，Sn)2O7中Pr磁矩的自旋冰关联和量子涨落的起源，从微观上推导了Pr磁矩之间的超交换相互作用。然后，我证明了这个理论模型可以存在一个以自旋冰的量子融化为特征的态，并解释了手性自旋液体中的反常霍尔电导。推广这一理论框架，成功地解释了Pr&2Sn2O7和Yb&2Ti2O7的中子散射实验。

In order to understand the origin of spin ice correlations and quantum fluctuations of Pr magnetic moments in magnetic pyrochlore oxides Pr_2(Ir, Sn)_2O_7, the superexchange interaction between Pr moments has been derived microscopically. Then, I have shown that this theoretical model can host a state characterized by a quantum melting of spin ice and have explained the anomalous Hall conductivity in the chiral spin liquid phase. Generalizing this theoretical framework, neutron-scattering experiments on Pr & _2Sn_2O_7 and Yb & _2Ti_2O_7 have been explained successfully.