论文标题
在蜂窝状晶格上掺杂Kitaev旋转液体中的配对密度波的证据
Evidence of pair-density wave in doping Kitaev spin liquid on the honeycomb lattice
论文作者
论文摘要
我们研究了掺杂Kitaev模型对蜂窝晶格的影响，在该蜂窝晶格中，旋转通过键相互作用$ j_k $相互作用，该$ J_K $具有量子自旋液体作为其确切的基态。使用密度 - 矩阵重归于的三腿圆柱体上的$ t $ - $ J_K $模型中研究了孔掺杂的效果。光掺杂后，我们发现系统的基态具有准较长的电荷密度波相关性，但短范围的单粒子相关性。主要的配对通道是与$ d $ - 波般的对称性的偶数超导对配对相关性，它们在符号中振荡，这是分离的函数，其周期等于旋转密度波和电荷密度波的两倍。尽管这些相关性在很长的距离上迅速（可能是指数级），但这绝不是第一个示例，其中配对密度波是两部分晶格上最强的SC顺序。我们的结果可能与$ {\ rm na_2iro_3} $和$α$ - $ - $ {\ rm rucl_3} $有关。
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 quasi-long-range charge-density-wave correlations but short-range single-particle correlations. The dominant pairing channel is the even-parity superconducting pair-pair correlations with $d$-wave-like symmetry, which oscillate 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 first example where a pair-density wave is the strongest SC order on a bipartite lattice. Our results may be relevant to ${\rm Na_2IrO_3}$ and $α$-${\rm RuCl_3}$ upon doping.
