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Lévy Statistics for Random Single--Molecule Line Shapes in a Glass

E. Barkai·A. V. Naumov·Yu. G. Vainer·M. Bauer·l. Kador
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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 Lévy 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.

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E. Barkai, A. V. Naumov, Yu. G. Vainer, M. Bauer, l. Kador. 2003-07-10. Lévy Statistics for Random Single--Molecule Line Shapes in a Glass. https://doi.org/10.1103/physrevlett.91.075502

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