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Within the $t$--$J$ model Hamiltonian we present a RVB mean field theorydirectly in terms of dopant particles. We apply this theory to$\mathrm{Na}_{x}\mathrm{CoO_{2}}\cdot y% \mathrm{H_{2}0}$ and show that theresulting phase diagram $T_c$ versus doping is in qualitative agreement withthe experimental results

Resonating valence-bond theory of superconductivity for dopant carriers: Application to the cobaltates