  Although the microscopic origin of the superconductivity in high Tc copper
oxides remains the subject of active inquiry, several of their electronic
characteristics are well established as universal to all the known materials,
forming the experimental foundation that all theories must address. The most
fundamental of those characteristics is the dependence of the superconducting
transition temperature on the degree of electronic band filling. Since the
discovery of cuprate superconductivity in 1986 (1), the search for other
families of superconductors that might help shed light on the superconducting
mechanism of the cuprates has been of great interest. The recent report of
superconductivity near 4K in the triangular lattice, layered sodium cobalt
oxyhydrate, Na0.35CoO2.1.3H2O, is the best indication that superconductors
related to the cuprates may be found (2). Here we show that the superconducting
transition temperature of this compound displays the same kind of band-filling
behavior that is observed in the cuprates. Specifically, that the optimal
superconducting Tc occurs in a narrow range of band filling, and decreases for
both underdoped and overdoped materials, in dramatic analogy to the phase
diagram of the cuprate superconductors. Our results suggest that
characterization of the detailed electronic and magnetic behavior of these new
materials may help establish which of the many special characteristics of the
cuprates is fundamental to their high Tc superconductivity.
