d-wave superconductor as a model of high-Tcsuperconductors

Abstract

We study the bulk properties of d-wave superconductors relevant to high-${\mathit{T}}_{\mathit{c}}$ copper oxides within weak-coupling theory. The superfluid density, the tunneling conductance, and the frequency-dependent electric conductivity appear to be quite consistent with some of the experimental data from single crystals of ${\mathrm{YBa}}_2$ ${\mathrm{Cu}}_3$ ${\mathrm{O}}_7$ and ${\mathrm{Bi}}_2$ ${\mathrm{Sr}}_2$ ${\mathrm{CaCuO}}_8$. We also predict strong anisotropy in the ultrasonic attenuation when a sound wave is propagated within the a-b plane.