We study the effects of doping the Kitaev model on the honeycomb lattice where the spins interact via the bond-directional interaction J_K, which is known to have a quantum spin liquid as its exact ground state. The effect of hole doping is studied within the t-J_K model on a three-leg cylinder using density-matrix renormalization group. Upon light doping, we find that the ground state of the system has a dominant quasi-long-range charge-density-wave correlations but short-range single-particle correlations. In the pairing channel, the even-parity superconducting correlation is dominant with d-wave-like symmetry, which oscillates in sign as a function of separation with a period equal to that of the spin-density wave and two times the charge-density wave. Although these correlations fall rapidly (possibly exponentially) at long distances, this is never-the-less the example where a pair-density wave is the leading instability in the pairing channel on the honeycomb lattice.

我们研究了掺杂 Kitaev 模型对蜂窝晶格的影响，其中自旋通过键向相互作用J _K相互作用，已知其以量子自旋液体作为其确切基态。使用密度矩阵重整化组，在t - J _K模型中研究了空穴掺杂对三腿圆柱体的影响。在轻掺杂时，我们发现系统的基态具有主要的准长程电荷密度波相关性，但具有短程单粒子相关性。在配对通道中，偶校验超导相关性占主导地位，d-波状对称性，其符号振荡作为间隔的函数，其周期等于自旋密度波的周期和电荷密度波的两倍。尽管这些相关性在长距离上迅速下降（可能呈指数级），但这绝不是对密度波是蜂窝晶格上配对通道中主要不稳定性的例子。