标题： 量子彩色弦中的自旋子单态：部分填充条纹中$d$波配对的起源 显示英文标题

标题： Spinon Singlet in Quantum Colored String: Origin of $d$-Wave Pairing in a Partially-Filled Stripe

摘要： 尽管实验观测和数值模拟已经达成共识，即条纹相与铜氧化物中的超导性相互交织，但在存在条纹的情况下，$d$波配对的微观机制仍然不清楚。 使用量子彩色弦的有效理论，我们推导了福克空间中的波函数。 我们的结果表明，自旋子具有相反的螺旋性，倾向于形成自旋子单态，这反过来促进了远距离$x$键和$y$键之间的负对-对关联，这是$d$波配对模式的特征。 相同的对-对关联模式在各种模型中被观察到，这通过大规模密度矩阵重整化群计算得到了验证。 基于这些结果，我们得出结论，自旋子单态是波动部分填充条纹中的$d$波超导性的起源，这种机制可能也适用于多条纹配置。 显示英文摘要

摘要： Although both experimental observations and numerical simulations have reached a consensus that the stripe phase is intertwined with superconductivity in cuprates, the microscopic mechanism behind $d$-wave pairing in the presence of stripes remains unclear. Using the effective theory of quantum colored strings, we derive the wavefunction in Fock space. Our results show that two spinons with opposite chiralities tend to pair into a spinon singlet, which in turn facilitates the formation of negative pair-pair correlations between distant $x$-bonds and $y$-bonds, a hallmark of the $d$-wave pairing pattern. The same pair-pair correlation pattern is observed across various models, as confirmed by large-scale density matrix renormalization group calculations. Based on these results, we conclude that the spinon singlet is the origin of $d$-wave superconductivity in a fluctuating, partially-filled stripe, and this mechanism may also extend to multi-stripe configurations.