Abstract
We have studied the multiharmonic ac susceptibility response of $\mathrm{Hg}{\mathrm{Ba}}_{2}{\mathrm{Ca}}_{4}{\mathrm{Cu}}_{5}{\mathrm{O}}_{y}$ (Hg:1245), a multilayered high-temperature superconductor (HTS) having two crystallographically inequivalent $\mathrm{Cu}{\mathrm{O}}_{2}$ planes in a unit cell with very imbalanced carrier concentrations. Vortex melting lines are well described by the commonly accepted model of melting with moderate anisotropy factors of 40--50, depending on the doping level. The diamagnetic response with applied fields parallel to superconducting $(a,b)$ planes also shows a quite robust supercurrent along the $c$ axis. Our results are also discussed in connection with contradictory models and experiments regarding the coexistence of superconductivity and antiferromagnetism in HTSs.
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