A universal relation between the optimal critical temperature and quantum entanglement in unconventional superconductors

The quest to discover superconductors with higher transition temperatures and to elucidate the underlying mechanisms has been a central focus in fundamental physics. This exploration has led to the identification of numerous exotic superconductors that fall outside the traditional Bardeen-Cooper-Schrieffer (BCS) theoretical framework, collectively referred to as unconventional superconductors. Extensive research has been conducted on their anomalous physical properties; however, the primary factors influencing the superconducting transition temperature (Tc) remain ambiguous. In this talk, combining with extensive experiments, we unveil a universal interrelation of Tc across a diverse array of unconventional superconductors, including hole-doped cuprates, iron-based superconductors, heavy fermion systems, organic charge transfer salts, twisted-angle graphene, alkali metal-doped fullerenes, quasi-one-dimensional superconductors, Chevrel phases, nickelate superconductors and Kagome materials. The examined Tc values of approximately 150 materials encompass a wide range, spanning five orders of magnitude. This finding suggests a potentially new physical paradigm related to quantum entanglement. The formation of Copper pairs is subject to both local and non-local influences. Our results not only indicate that distinct unconventional superconductors may be governed by a unified mechanism, but also provide novel perspectives and clues for understanding this commonality.