English

L\'evy Statistics for Random Single--Molecule Line Shapes in a Glass

Statistical Mechanics 2009-11-10 v1 Disordered Systems and Neural Networks

Abstract

We demonstrate that the statistical behavior of random line shapes of single tetra-tert-butylterrylene chromophores embedded in an amorphous polyisobutylene matrix at T=2 K, is described by L\'evy statistics as predicted theoretically by Barkai, Silbey, and Zumofen [{\em Phys. Rev. Lett.} {\bf 84} 5339 (2000)]. This behavior is a manifestation of the long range interaction between two level systems in the glass and the single molecule. A universal amplitude ratio is investigated which shows that the standard tunneling model assumptions are compatible with the experimental data.

Keywords

Cite

@article{arxiv.cond-mat/0307257,
  title  = {L\'evy Statistics for Random Single--Molecule Line Shapes in a Glass},
  author = {E. Barkai and A. V. Naumov and Yu. G. Vainer and M. Bauer and l. Kador},
  journal= {arXiv preprint arXiv:cond-mat/0307257},
  year   = {2009}
}

Comments

accepted for publication in PRL