Superconductive density-of-states (DOS) depletion effect manifested in interlayer magnetotransport of overdoped Bi-2212

To determine the mechanism of high superconducting transition temperature (high-$T_{c})$ superconductivity, we must understand the relationship between the pseudogap (PG) and superconductivity. For this purpose, we measure the out-of-plane resistivity $\rho_{c}$ ($T$, $H)$ of an overdoped Bi$_{\mathrm{1.6}}$Pb$_{\mathrm{0.4}}$Sr$_{\mathrm{2}}$CaCu$_{\mathrm{1.96}}$Fe$_{\mathrm{0.04}}$O$_{\mathrm{8+\delta }}$ (Bi-2212) single crystal under pulsed magnetic fields up to 60 T. Above $T_{c}$, magnetoconductivity (MC) is due to two positive components: one component rapidly increases with increasing fields but saturates at higher fields, and the other component gradually increases as $H^{\mathrm{2}}$. The former decreases with increasing temperature and vanishes around the onset temperature of superconductive fluctuation $T_{scf}$. Thus, it is attributed to the superconductive DOS depletion effect. The latter is present both below and above $T_{scf}$. Thus, it is attributed to the PG effect. Subsequent analysis below $T_{c}$ shows that the peak structure for $\rho _{c} (T$, $H)$ is primarily due to the superconductive DOS depletion effect. This result supports the scenario that the PG results in high-$T_{c}$ superconductivity.