  In their Letter [Phys. Rev. Lett. 105, 137402 (2010)], Eisfeld et al.
predicted the exchange broadening and blue-shift of the absorption band as well
as a nonuniversal disorder scaling of the localization length of excitons in
J-aggregates with Levy disorder, which they contrasted with the previously
analyzed Gaussian and Lorentzian case [Phys. Rev. B, 79, 1 (2009)]. The
observations were explained by chain segmentation due to outliers, and its
interplay with localization of states in effective potential wells created by
typical random site energies. We argue that the previously known theory does
not break down and thus anticipates the properties of absorption band
investigated in the commented work.
