Regensburg 2010 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 27: CE: Poster Session

TT 27.40: Poster

Wednesday, March 24, 2010, 14:00–18:00, Poster D1

Non-linear integral equations for transfer matrices of Chalker Coddington network models — •Win Nuding and Michael Brockmann — Bergische Universitä Wuppertal, Germany

We analyse the eigenvalues of the transfer matrices of an integrable Chalker Coddington model on the basis of the work by Gade and by Essler, Frahm and Saleur. We derive from the Bethe ansatz equations a finite system of non-linear integral equations. Whereas in the Bethe ansatz the system size L is equal to the number of unknown Bethe ansatz roots, L enters the non-linear integral equations just as an external control parameter. We present solutions of the non-linear integral equations. From these the eigenvalues of the transfer matrices are obtained.