In this paper we address the question of whether high-temperature superconductors have anything in common with BCS-BEC crossover theory. Towards this goal, we present a proposal and related predictions which provide a concrete test for the applicability of this theoretical framework. These predictions characterize the behavior of the Ginzburg-Landau coherence length, \({\xi }_{0}^{{{{\rm{coh}}}}}\), near the transition temperature T_c, and across the entire superconducting T_c dome in the phase diagram. That we are lacking a systematic characterization of \({\xi }_{0}^{{{{\rm{coh}}}}}\) in the entire class of cuprate superconductors is perhaps surprising, as it is one of the most fundamental properties of any superconductor. This paper is written to motivate further experiments and, thus, address this shortcoming. Here we show how measurements of \({\xi }_{0}^{{{{\rm{coh}}}}}\) contain direct indications for whether or not the cuprates are associated with BCS-BEC crossover and, if so, where within the crossover spectrum a particular superconductor lies.

在本文中，我们解决了高温超导体与 BCS-BEC 交叉理论是否有任何共同点的问题。为了这个目标，我们提出了一个建议和相关预测，为这一理论框架的适用性提供了具体的检验。这些预测描述了金兹堡-朗道相干长度\({\xi }_{0}^{{{{\rm{coh}}}}}\)在转变温度T _c附近和跨相图中的整个超导T _c圆顶。我们在整个铜酸盐超导体类别中缺乏对\({\xi }_{0}^{{{{\rm{coh}}}}}\) 的系统表征也许令人惊讶，因为它是任何超导体最基本的特性。撰写本文是为了激发进一步的实验，从而解决这个缺点。在这里，我们展示了\({\xi }_{0}^{{{{\rm{coh}}}}}\)的测量如何包含直接指示铜酸盐是否与 BCS-BEC 交叉相关，并且，如果是这样，则特定超导体位于交叉谱内的哪个位置。