Effect of doping on the linear temperature dependence of the magnetic penetration depth in cuprate superconductors

We report on measurements of the low temperature dependence of the magnetic penetration depth lambda (ab) in several single crystals of La2-xSrxCuO4, Bi2Sr2CaCu2O8 and YBa2Cu3O6+x at various doping levels ranging from the und er- to the overdoped regimes by using a novel single-coil technique achievi ng 10 pm resolution. We have found a linear dependence of lambda (ab) in al l samples with a rapidly increasing slope d lambda (ab)/dT as doping decrea ses. Our analysis of the data indicates that a superconducting gap with d-w ave symmetry is sufficient to quantitatively account for the above slope va lues in the optimally or over- doped samples. In the underdoped samples, th e d-wave model predicts much smaller values than those measured by assuming realistic values for the zero-temperature lambda (ab) and gap Delta. The e xperimental data are compatible with a model of thermodynamic phase fluctua tions of the order parameter. Therefore, we put forward the hypothesis that the gapless properties observed in cuprates may have qualitatively differe nt physical origins depending on the doping level.