Hole density dependence of the critical temperature and coupling constant in the cuprate superconductors

Physics

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Copper Oxides, Critical Temperature, High Temperature Superconductors, Hole Distribution (Electronics), Chemical Bonds, Electron Phonon Interactions, Mixed Oxides, Valence

Scientific paper

A bond valence sum (BVS) analysis was performed for the p-type cuprate superconductors. The superconducting critical temperature T(c) versus in-plane Cu-O BVS correlation for copper is grouped into classes and subclasses. Only within a class or subclass for which the nonelectronic effect is constant does the variation of the in-plane Cu-O BVS reflect the corresponding change in the hole density n(H) of the CuO2 layers. This study strongly suggests that the T(c) for every class or subclass of the superconductors is an inverted parabolic function of n(H), and so is the coupling constant lambda for Cooper pair formation.

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