We study the effect of hole doping on the Kitaev spin liquid (KSL) and find that for ferromagnetic (FM) Kitaev exchange K the system is very susceptible to the formation of a FM spin polarization. Through density matrix renormalization group simulations on finite systems, we uncover that the introduction of a single hole, corresponding to ≈1% hole doping for the system size we consider, with a hopping strength of just t ~ 0.28K is enough to disrupt fractionalization and polarize the spins in the [001] direction due to an order-by-disorder mechanism. Taking into account a material relevant FM anisotropic exchange Γ drives the polarization towards the [111] direction via a transition into a topological FM state with chiral magnon excitations. We develop a parton mean-field theory incorporating fermionic holons and bosonic magnons, which accounts for the doping induced FM phases and topological magnon excitations. We discuss experimental implications for Kitaev candidate materials.

我们研究了空穴掺杂对基塔耶夫自旋液体 (KSL) 的影响，发现对于铁磁 (FM) 基塔耶夫交换K ，系统非常容易形成 FM 自旋极化。通过有限系统上的密度矩阵重整化群模拟，我们发现单孔的引入，对应于我们考虑的系统尺寸的 ≈1% 孔掺杂，跳跃强度仅为t ~ 0.28 K就足以破坏分数化和由于有序-无序机制，使自旋沿 [001] 方向极化。考虑到与材料相关的 FM 各向异性交换Г通过过渡到具有手性磁振子激发的拓扑 FM 状态，将极化驱动到 [111] 方向。我们开发了一种结合费米子完整子和玻色磁子的部分子平均场理论，该理论解释了掺杂引起的调频相位和拓扑磁子激发。我们讨论了基塔耶夫候选材料的实验意义。