We have investigated the transport properties, resistivity and Hall effect,
in a series of underdoped GdBa2Cu3Ox thin films grown by off-axis magnetro
n sputtering. We find a systematic correlation between the critical tempera
ture T-c and the inverse Hall constant R-H(-1), related, in simple models,
to the carrier concentration n. Our experimental thin film T-c(n) data are
in good agreement with the temperature-doping phase diagram obtained for YB
a2Cu3Ox, single crystals. By measuring the activation energies in the liqui
d vortex phase, and by using a 2-dimensional model for vortex dynamics, we
have extracted the penetration depth of these samples, and studied the rela
tion between the carrier concentration and the superfluid density to probe
the role of phase fluctuations on superconductivity. PACS numbers: 74.25 Dw
, 74,25 Fy, 74.76 Bz.