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The superconducting critical current density, Jc, in hole doped cuprates showstrong dependence on the doped hole content, p, within the copper oxideplane(s). The doping dependent Jc mainly exhibits the variation of theintrinsic depairing critical current density as p is varied. Jc(p) tends topeak at p ~ 0.185 in copper oxide superconductors. This particular value of thehole content, often termed as the critical hole concentration, has severalfeatures putative to a quantum critical point (QCP). Very recently, pressuredependences of the superconducting transition temperature (Tc) and the criticalcurrent (Ic) in pure CeRhIn5 and Sn doped CeRhIn5 heavy fermion compounds havebeen reported (Nature Communications (2018) 9:44, DOI:10.1038/s41467-018-02899-5). The critical pressure demarcates anantiferromagnetic quantum critical point where both Tc and Ic are maximized. Wehave compared and contrasted this behavior with those found forY1-xCaxBa2Cu3O7-d in this brief communication. The resemblance of thesystematic behavior of the critical current with pressure and hole contentbetween heavy fermion systems and hole doped cuprates is significant. This addsto the circumstantial evidence that quantum critical physics probably plays anotable role beyond the unconventional normal and superconducting stateproperties of copper oxide superconductors.

Critical current density of hole doped high-Tc cuprates and heavy fermion superconductors: relevance to the possible quantum critical behavior