Correction to: On the Role of Fermi Energy in Determining Properties of Superconductors: a Detailed Comparative Study of Two Elemental Superconductors (Sn and Pb), a Non-cuprate (MgB₂) and Three Cuprates (YBCO, Bi-2212 and Tl-2212)

Correction to: J Supercond Nov Magn (2016) 29:2755–2764

https://doi.org/10.1007/s10948-016-3637-5

With definitions of symbols as in [1], this corrigendum is concerned with Equation (41) for j₀:

$$j_{0} (E_{F} )=A_{5} \frac{\theta}{y} (\gamma /v_{g} )^{2/3}E_{F}^{2/3}. $$

The value of A₅ following this equation was given as 3.703x10⁻⁴ C eV^−4/3K^1/3s⁻¹. This was a misprint that was overlooked: the numerical value of A₅ should have been 3.073x10⁻⁴ with which all calculations were performed. More importantly, even the latter value of A₅ is incorrect: the correct value is twice this value. This is readily seen via the equation for j₀ preceding (41) and the equations forn _s (E _F ) and v₀(E _F ), (35) and (39), respectively, whence

$$\begin{array}{@{}rcl@{}} j_{0} (E_{F} ) &=& (A_{2} A_{4} e) \frac{\theta}{y} (\gamma /v_{g} )^{2/3}E_{F}^{2/3}, \text{ and}\\ A_{5} &=& A_{2} A_{4} e = 6.146x10^{-4} \text{ C eV}^{-4/3}\mathrm{K}^{1/3}\mathrm{s}^{-1}. \end{array} $$

Consistent with the values of |W| (or |W|s), T_c and j₀ of the SCs dealt with in [1], remarkably, implementation of the above correction leads for each of these SCs to values of E_F and n _s that are about 0.35 times their values given in [1], and to revised values of s and v₀ that are about 1.4 times their earlier values.