02-1 S. Jitominskaya, H. Schulz-Baldes, G. Stolz

Delocalization in polymer models (265K, ps) Jan 3, 02

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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.

Files: 02-1.src( 02-1.keywords , nonrand4.ps )