ANOMALOUS BEHAVIOR OF THE MICROWAVE SURFACE-RESISTANCE OF THE HIGH-T-C SUPERCONDUCTORS AS A RESULT OF THE MULTI-PETAL GAP STRUCTURE IN ANISOTROPIC S-WAVE COOPER PAIRING

It is shown that the ''multi-petal'' structure of the gap parameter in high-T-C superconductors, which is observed in ARPES experiments, and which is a result of the anisotropic s-wave Cooper pairing, leads to the non-zero value of the conductivity sigma(omega,T) in the limit ome ga --> 0 and T --> 0 due to zeros of the anisotropic gap. This theoret ical result call explain the anomalously large values of the microwave surface resistance R(s)(omega,T) at T much less than T-C, and obtaine d in our experiments very weak dependence of R(s) on magnetic field in the high-T-C superconductors, unlike the BCS superconductors having a n isotropic gap.