Localization-delocalization transition in non-hermitian disordered systems
Using the supersymmetry technique, we study the localization-delocalization transition in quasi-one-dimensional non-Hermitian systems with a direction. In contrast to chains, our model captures the diffusive character of carriers' motion at short distances. We calculate the joint probability of complex eigenvalues and some other correlation functions. We find that the transition is abrupt and it is due to an interplay between two saddle points in the free energy functional.
Kolesnikov
AV
Fakultat fur Physik und Astronomie, Ruhr-Universitat, Bochum, Universitatsstrasse 150, Bochum, Germany.
Efetov
KB