Recent discovery of the half quantized thermal Hall conductivity in \(\alpha\)-RuCl\({}_{3}\), a candidate material for the Kitaev spin liquid, suggests the presence of a highly entangled quantum state in external magnetic fields. This field induced phase appears between the low field zig-zag magnetic order and the high field polarized state. Motivated by this experiment, we study possible field induced quantum phases in theoretical models of the Kitaev magnets, using the two dimensional tensor network approach or infinite tensor product states. We find various quantum ground states in addition to the chiral Kitaev spin liquid occupying a small area in the phase diagram. They form a band of emergent quantum phases in an intermediate window of external magnetic fields, somewhat reminiscent of the experiment. We discuss the implications of these results in view of the experiment and previous theoretical studies.

在\（\ alpha \）- RuCl \（{} _ {3} \）中的半量化热霍尔电导率的最新发现Kitaev自旋液体的候选材料表明在外部磁场中存在高度纠缠的量子态。该场感应相位出现在低场之字形磁阶和高场极化态之间。受此实验的启发，我们使用二维张量网络方法或无限张量积态研究了Kitaev磁体理论模型中可能的场感应量子相。除了在相图中占据较小面积的手性Kitaev自旋液体外，我们还发现了各种量子基态。它们在外部磁场的中间窗口中形成了一个新兴的量子相带，这在某种程度上让人联想到实验。我们根据实验和先前的理论研究来讨论这些结果的含义。