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Reply to Comment on ‘Exact analytical solution for the generalized Lyapunov exponent of the two-dimensional Anderson localization’

We reply to comments by Markoš et al (2004 J. Phys.: Condens. Matter 16) on our recent paper (Kuzovkov et al 2002 J. Phys.: Condens. Matter 63 13777). We demonstrate that our quite different viewpoints stem for the different physical assumptions made prior to the choice of the mathematical formalism. The authors of the comment expect a priori to see a single thermodynamic phase while our approach is capable of detecting the co-existence of distinct pure phases. The limitations of the transfer matrix techniques for the multi-dimensional Anderson localization problem are discussed.