By measuring the superconducting diamagnetic moments for an underdoped and an
overdoped La_{2-x}Sr_xCuO_4 single crystal with equal qualities and roughly
equal transition temperatures, it is found that the underdoped sample has only
one transition which corresponds to H_{c2}, but the overdoped sample has two
transitions with the higher one at H_{c2}. Further investigation reveals the
same upper-critical field H_{c2} for both samples although the overall charge
densities are very different, indicating the possibility of a very direct and
detailed equivalence of the superconducting condensation process in the two
doping limits. The second transition for the overdoped sample can be understood
as the bulk coupling between the superconducting clusters produced by
macroscopic phase separation.Comment: 4 pages (Revtex), 4 figures (PS), submitted to Physical Review
Letter