We examine the pairing structure of holes injected into two distinct spin backgrounds: a short-range antiferromagnetic phase versus a symmetry protected topological phase. Based on density matrix renormalization group (DMRG) simulation, we find that although there is a strong binding between two holes in both phases, phase fluctuations can significantly influence the pair-pair correlation depending on the spin-spin correlation in the background. Here the phase fluctuation is identified as an intrinsic string operator nonlocally controlled by the spins. We show that while the pairing amplitude is generally large, the coherent Cooper pairing can be substantially weakened by the phase fluctuation in the symmetry-protected topological phase, in contrast to the short-range antiferromagnetic phase. It provides an example of a non-BCS mechanism for pairing, in which the paring phase coherence is determined by the underlying spin state self-consistently, bearing an interesting resemblance to the pseudogap physics in the cuprate.

中文翻译：

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不同量子自旋背景中掺杂空穴的配对与相位相干性

我们检查注入两个不同自旋背景的空穴的配对结构：短程反铁磁相与对称受保护的拓扑相。基于密度矩阵重归一化组（DMRG）模拟，我们发现尽管两个相中的两个孔之间都有很强的结合力，但相变可以根据背景中的自旋-自旋相关性显着影响配对对相关性。在这里，相位波动被识别为由自旋非本地控制的固有弦算子。我们显示，虽然配对幅度通常较大，但与短程反铁磁相位相比，对称保护的拓扑相位中的相位波动会大大削弱相干库珀配对。它提供了用于配对的非BCS机制的示例，其中配对相位的相干性是由基础自旋状态自洽地确定的，与铜酸盐中的伪间隙物理学非常有趣。