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The Material-Dependent Parameter Controlling the Universal Phase Diagram of Cuprates

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Abstract

The critical temperature T c in the universal phase diagram of cuprate superconductors is a function of two variables: the hole-doping δ and a material dependent parameter. Here we focus on the behavior of T c,max as a function of the material dependent parameter (MDP) at the optimum hole doping. We have discussed the correlation between (1) the average Cu—O (planar) distance, or the strain of the Cu—O bond, (2) the nearest-neighbor hopping t′ and (3) the Lifshitz parameter z. These Lifshitz parameter z = μδ = 0.16E vHs which are all material dependent parameters, where μδ = 0.16 is the chemical potential at optimum doping and EvHs is the energy of the Van Hove singularity, defines the proximity to the Fermi surface topological transition from electron-like to hole-like. The results show that the striped phases occur for z < 0, the highest T c,max for \(z \approx 55\;{\rm meV}\) and the drop of T c,max for z > 75 meV.

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ACKNOWLEDGMENTS

This work is supported by MIUR in the frame of the project Cofin 2003 “Leghe e composti intermetallici: stabilità termodinamica, proprietà fisiche e reattività” on the “synthesis and properties of new borides”.

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Simonelli, L., Fratini, M., Palmisano, V. et al. The Material-Dependent Parameter Controlling the Universal Phase Diagram of Cuprates. J Supercond 18, 773–777 (2005). https://doi.org/10.1007/s10948-005-0079-x

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