  We point out the incorrect derivation of the gap equation in X.-J. Chen and
H. Q. Lin [Phys. Rev. B 69 (2004) 104518; cond-mat/0306680] within the
interlayer tunneling (ILT) model for multilayered cuprates. There, the local
structure in k-space of the ILT effective interaction has not been taken into
due account when the ILT model is generalized to the case of n layers per unit
cell. This is a specific characteristic of the ILT model that, apart from
giving rise to a highly nontrivial k-dependence of the gap function, is known
to enhance the critical temperature Tc in a natural way. As a consequence, we
argue that Chen and Lin's results cannot be employed, in their present form,
for a quantitative interpretation of the high-pressure dependence of Tc in
Bi-2212, as is done by X.-J. Chen et al. [cond-mat/0408587]. Moreover, when the
generalization of X.-J. Chen et al. [cond-mat/0408587] is applied to the case
n=2, it fails to reproduce the original ILT gap equation. However, a more
careful analysis of the ILT model for multilayered cuprates, taking into
account the nonuniform hole distribution among inequivalent layers, has been
earlier suggested to describe the observed pressure dependence of Tc in
homologous series of high-Tc cuprates.
