LocalizationDelocalization Transition in NonHermitian Disordered Systems
Abstract
Using the supersymmetry technique, we study the localizationdelocalization transition in quasionedimensional nonHermitian 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.
 Publication:

Physical Review Letters
 Pub Date:
 June 2000
 DOI:
 10.1103/PhysRevLett.84.5600
 arXiv:
 arXiv:condmat/0001263
 Bibcode:
 2000PhRvL..84.5600K
 Keywords:

 Condensed Matter  Disordered Systems and Neural Networks;
 High Energy Physics  Lattice;
 High Energy Physics  Theory
 EPrint:
 4 pages, 1 figure