Approximate tight-binding sum rule for the superconductivity related change of c-axis kinetic energy in multilayer cuprate superconductors

Abstract

We present an extension of the c-axis tight-binding sum rule discussed by Chakravarty, Kee, and Abrahams [Phys. Rev. Lett. 82, 2366 (1999)] that applies to multilayer high-Tc cuprate superconductors (HTCS) and use it to estimate--from available infrared data--the change below Tc of the c-axis kinetic energy, Hc, in YBa2Cu3O(7-delta) (delta=0.45,0.25,0.07), Bi2Sr2CaCu2O8, and Bi2Sr2Ca2Cu3O10. In all these compounds Hc decreases below Tc and except for Bi2Sr2CaCu2O8 the change of Hc is of the same order of magnitude as the condensation energy. This observation supports the hypothesis that in multilayer HTCS superconductivity is considerably amplified by the interlayer tunnelling mechanism.

6 pages, 2 figures

References in corpus (3)

• Transverse optical Josephson plasmons, equations of motion
• Josephson plasma resonance and phonon anomalies in trilayer Bi_2Sr_2Ca_2Cu_3O_10 superconductor
• Correlation between the Josephson coupling energy and the condensation energy in bilayer cuprate superconductors

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• Critical field in a model with local pairs
• Condensation energy and the mechanism of superconductivity
• Microscopic gauge-invariant theory of the c-axis infrared response of bilayer cuprate superconductors and the origin of the superconductivity induced absorption bands
• Coexistence of the Pseudogap and the Superconducting Gap Revealed by the \textit{c}-axis Optical Study of YBa${}_2$(Cu${}_{1-x}$Zn${}_x$)${}_3$O${}_{7-\delta }$
• Superconductivity-induced transverse plasma mode and phonon anomaly in the $c$-axis response of the bilayer compound RbCa${}_2$Fe${}_4$As${}_4$F${}_2$