S. Jitominskaya, H. Schulz-Baldes, G. Stolz
Delocalization in polymer models
(265K, ps)
ABSTRACT. A polymer model is a one-dimensional Schroedinger operator composed
of two finite building blocks. If the two associated transfer
matrices commute, the corresponding energy is called critical. Such
critical energies appear in physical models, an example being the
widely studied random dimer model. Although the random models are
known to have pure-point spectrum with exponentially localized
eigenstates for almost every configuration of the polymers, the
spreading of an initially localized wave packet is here proven to be
at least diffusive for every configuration.