A. Bill et al., Q-DEPENDENT NEUTRON-SCATTERING - A SIGNATURE OF THE GAP ANISOTROPY INHIGH-T-C SUPERCONDUCTORS, Journal of superconductivity, 9(5), 1996, pp. 493-501
The influence of the superconducting gap anisotropy on the phonon disp
ersion is discussed for tetragonal and orthorhombic crystals. Supercon
ducting order parameters with different types of s-wave, as well as d-
and (s + d)-wave anisotropies, are studied. We show that along specif
ic directions of the Brillouin zone the lineshape (energy and linewidt
h) of phonons strongly depends on the anisotropy of the gap. Tn this c
ontext, we discuss recent experimental results performed on YBa2Cu3O7
single crystals. The data can be well described in terms of an anisotr
opic s-wave gap function obtained from the nontotally screened interac
tion of charge carriers with long-range optical phonons. The calculati
ons suggest, furthermore, that it is generally insufficient to describ
e experiments that involve the anisotropy of the superconducting order
parameter solely in terms of its symmetry. Not only the symmetry, but
also the specific structure of the gap as a function of k is importan
t. This conclusion holds for those experiments that are not restricted
to the pure determination of the phase of the gap.