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Superfluid response in monolayer high-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>cuprates
We have studied the doping dependence of the in-plane and out-of-plane superfluid density ${\ensuremath{\rho}}^{s}(0)$ of two-monolayer high-${T}_{c}$ superconductors, ${\mathrm{HgBa}}_{2}{\mathrm{CuO}}_{4+\ensuremath{\delta}}$ and ${\mathrm{La}}_{2\ensuremath{-}x}{\mathrm{Sr}}_{x}{\mathrm{CuO}}_{4},$ using the low-frequency ac susceptibility and the muon-spin-relaxation techniques. For both superconductors, ${\ensuremath{\rho}}^{s}(0)$ increases rapidly with doping in the underdoped and optimally doped regimes and becomes nearly doping independent …