Theory of c-axis Josephson tunneling in d-wave superconductors

Abstract

The temperature and angular dependence of the c-axis Josephson current and the superfluid density in layered d-wave superconductors are studied within the framework of an extended Ambegaokar-Baratoff formalism. In particular, the effects of angle-dependent tunneling matrix elements and Andreev scattering at grain boundaries are taken into account. These lead to strong corrections of the low-temperature behavior of the plasma frequency and the Josephson current. Recent c-axis measurements on the cuprate high-temperature superconductors HgBa2CaCu1+δ and Bi2Sr2CaCu2O8+δ can therefore be interpreted to be consistent with a d-wave order parameter.

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