We evaluate the doping dependence of the quasiparticle current and low-temperature superfluid density in two slave-particle theories of the $t{t}^{\prime }{t}^{″}J$ model—the slave-boson theory and doped-carrier theory. In the slave-boson theory, the nodal quasiparticle current renormalization factor $\alpha$ proportionally vanishes to the zero temperature superfluid density ${\rho }_S\left(0\right)$; however, we find that away from the ${\rho }_S\left(0\right)\to 0$ limit, $\alpha$ displays a much weaker doping dependence than ${\rho }_S\left(0\right)$. A similar conclusion applies to the doped-carrier theory, which differentiates the nodal and antinodal regions of momentum space. Due to its momentum space anisotropy, the doped-carrier theory enhances the value of $\alpha$ in the hole doped regime, bringing it to quantitative agreement with experiments, and reproduces the asymmetry between hole and electron doped cuprate superconductors. Finally, we use the doped-carrier theory to predict a specific experimental signature of local staggered spin correlations in doped Mott insulator superconductors, which, we propose, should be observed in scanning tunneling microscopy measurements of underdoped high-$T_c$ compounds. This experimental signature distinguishes the doped-carrier theory from other candidate mean-field theories of high-$T_c$ superconductors, such as the slave-boson theory and the conventional BCS theory.

• Received 15 May 2007

DOI:https://doi.org/10.1103/PhysRevB.77.144526