We have measured the in-plane microwave conductivity of nearly optimal
ly: doped single crystals (T-c = 78 K) of Tl2Ba2CuO6+delta (Tl-2201) a
t 14.4, 24.8, and 35.9 GHz using cavity perturbation methods. At low t
emperatures, the in-plane penetration depth has a strong, linear tempe
rature dependence, indicative of an unconventional pairing state with
line nodes. The real part of the conductivity shows a broad, frequency
-dependent peak near 30 K, similar to that seen in YBa2Cu3O7-delta and
Bi2Sr2CaCu2O8 crystals. With tetragonal crystal symmetry and a single
CuO2 plane per unit cell, Tl-2201 is the simplest structure so far to
display these features. [S0163-1829(97)50246-3].