Reply to Comment on "Exact analytic solution for the generalized Lyapunov exponent of the 2-dimensional Anderson localization"

Abstract

We reply to comments by P.Marko$\breve{s}$, L.Schweitzer and M.Weyrauch [preceding paper] on our recent paper [J. Phys.: Condens. Matter 63, 13777 (2002)]. 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 \emph{a priori} to see a single thermodynamic phase while our approach is capable of detecting co-existence of distinct pure phases. The limitations of the transfer matrix techniques for the multi-dimensional Anderson localization problem are discussed.

4 pages, accepted for publication in J.Phys.: Condens. Matt

References in corpus (6)

• Metallic behavior and related phenomena in two dimensions
• Phase separation in the two-dimensional electron liquid in MOSFETs
• Two-species percolation and Scaling theory of the metal-insulator transition in two dimensions
• Sublocalization, superlocalization, and violation of standard single parameter scaling in the Anderson model
• Failure of single-parameter scaling of wave functions in Anderson localization
• Exact analytic solution for the generalized Lyapunov exponent of the 2-dimensional Anderson localization

Cited by in corpus (3)

• The phase diagram of the multi-dimensional Anderson localization via analytic determination of Lyapunov exponents
• Anderson localization problem: an exact solution for 2-D anisotropic systems
• Random walk approach to the analytic solution of random systems with multiplicative noise - the Anderson localization problem