Absence of a BCS-BEC crossover in the cuprate superconductors

Abstract

We examine key aspects of the theory of the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensation (BEC) crossover, focusing on the temperature dependence of the chemical potential, $\mu$. We identify an accurate method of determining the change of $\mu$ in the cuprate high temperature superconductors from angle-resolved-photoemission data (along the "nodal" direction), and show that $\mu$ varies by less than a few percent of the Fermi energy over a range of temperatures from far below to several times above the superconducting transition temperature, $T_c$. This shows, unambiguously, that not only are these materials always on the BCS side of the crossover (which is a phase transition in the $d-wave case), but are nowhere near the point of the crossover (where the chemical potential approaches the band bottom).

6 pages, 5 figures

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• Feshbach hypothesis of high-Tc superconductivity in cuprates
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• Test for BCS-BEC Crossover in the Cuprate Superconductors
• Scattering theory of mesons in doped antiferromagnetic Mott insulators: Multichannel perspective and Feshbach resonance
• Bypassing the lattice BCS-BEC crossover in strongly correlated superconductors: resilient coherence from multiorbital physics
• Topological two-band electron-hole superconductors with $d$-wave symmetry: Absence of Dirac quasiparticle annihilation in magic-angle twisted trilayer graphene
• Signature of preformed pairs in angle-resolved photoemission spectroscopy
• Possibility of BCS-BEC crossover in $\kappa$-type organic superconductors
• Persistence of vortexlike phase fluctuations in underdoped to heavily overdoped Bi-2201 cuprates