There is now compelling evidence that the normal state of
superconducting overdoped cuprates is a strange metal comprising two
distinct charge sectors, one governed by coherent quasiparticle
excitations, the other seemingly incoherent and characterized by
non-quasiparticle (Planckian) dissipation. The zero-temperature
superfluid density n_s(0)ns(0)
of overdoped cuprates exhibits an anomalous depletion with increased
hole doping pp,
falling to zero at the edge of the superconducting dome. Over the same
doping range, the effective zero-temperature Hall number
n_{\rm H}(0)
transitions from pp
to 1 + pp.
By taking into account the presence of these two charge sectors, we
demonstrate that in the overdoped cuprates
Tl_22Ba_22CuO_{6+\delta}6+δ
and La_{2-x}2−xSr_xxCuO_44,
the growth in n_s(0)ns(0)
as pp
is decreased from the overdoped side may be compensated by the loss of
carriers in the coherent sector. Such a correspondence is contrary to
expectations from conventional BCS theory and implies that
superconductivity in overdoped cuprates emerges uniquely from the sector
that exhibits incoherent transport in the normal state.