Comment on "Canonical-ensemble results for the Ising model with random bonds in two dimensions"

In numerical calculations of a quantity $\Lambda \mathrm{}\left(T\right)\mathrm{}\equiv -\frac{\partial \ln {\chi }_{\mathrm{EA}}^{{}^{\prime }}}{\partial T}$, where ${\chi }_{\mathrm{EA}}^{\prime }\equiv \Sigma {\left({〈{\sigma }_i{\sigma }_j〉}_T^2\right)}_J$ for finite $L\times L$ Edwards-Anderson (EA) models, Fernández [Phys. Rev. B 25, 417 (1982)] finds that $\Lambda \mathrm{}\left(T\right)\mathrm{}$ has a peak at $T_0\approx 0.6$ (Gaussian model) or $T_0\approx 1.0$, for $L=4,6,8,10,or 11$, respectively. He finds that the peak height ${\Lambda }_{max}=\Lambda \left(T_0\right)$ increases in direct proportion to $L$, and interprets his results in terms of a phase transition at $T_0$, where the correlation length ${\xi }_{\mathrm{EA}}\propto {(T-T_0)}^{-1\mathrm{}}$. This conclusion is in disagreement with our previous findings that ${\xi }_{\mathrm{EA}}$ is finite in this temperature range, although a (dynamic) "freezing transition" of the spins occurs at $T_f\approx 1.0$ (Gaussian model) or $T_f\approx 1.3$ ($\pm J$ model), which lead us to suggest that the two-dimensional EA model has a phase transition at zero temperature only.