“…d-wave, see Figure 1a) have been put forward, 2] it is interesting to consider the consequences of the simpler suggestion that k has the full symmetry of the crystal, but changes sign (see Figure 1b). Fehrenbacher and Norman 3] have considered the e ects of potential scattering on such a state, following earlier work on anisotropic-s states with nodes, 4,5] and shown that small concentrations of impurities can lead to \gap-less" behavior in the density of states (i.e., with residual density of states N(0) > 0), followed by the opening of an actual induced gap in the quasiparticle spectrum as the concentration is increased further. The prediction of a range of impurity concentrations over which \gapless" behavior is predicted is important because microwave and NMR experiments, particularly on Zn and Ni-doped YBCO crystals 6,7] have shown evidence of low-temperature thermodynamic properties re ecting the existence of a residual density of states.…”