BCS-BEC crossover driven by small Fermi pockets of a high-T<sub>c</sub> cuprate superconductor.

Jeong, Junhyeok; Enomoto, Yamato; Kohama, Yoshimitsu; Nakayama, Tomotaka; Ando, Kotaro; Kurokawa, Kifu; Huh, Soonsang; Yang, Zhuo et al. · Nat Commun · 2026

basic_science · Level V

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Abstract

Fermi arcs observed in underdoped cuprates have sparked debate over whether they represent segments of a large Fermi surface or small Fermi pockets. This ambiguity has long hindered their classification as either the conventional Bardeen-Cooper-Schrieffer (BCS) regime or the strongly coupled Bose-Einstein condensation (BEC) crossover limit. Here, using angle-resolved photoemission spectroscopy and quantum oscillations, we demonstrate the coexistence of a small Fermi pocket and a large superconducting gap in the clean inner CuO<sub>2</sub> layers of the four-layer cuprate Ba<sub>2</sub>Ca<sub>3</sub>Cu<sub>4</sub>O<sub>8</sub>(F,O)<sub>2</sub>. This coexistence constitutes a hallmark of the BCS-BEC crossover and has remained elusive for decades. Despite the presence of antiferromagnetic (AF) order, the superconducting gap in the small pocket is remarkably large, yielding a gap-to-Fermi energy ratio (Δ<sub>pocket</sub>/ε<sub>F</sub> ~ 0.6) and a critical-to-Fermi temperature ratio (T<sub>c</sub>/T<sub>F</sub> ~ 0.13) that reach the theoretical upper bound for two-dimensional superconductivity. Unexpectedly, this BCS-BEC crossover emerges not as the carrier density decreases but as it increases, abruptly within a narrow doping range of less than 1%. These results provide a long-sought microscopic foundation for the d-wave pairing mechanism in doped AF-Mott insulators.