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Lévy statistics for random single-molecule line shapes in a glass
E Barkai1, A V Naumov, Yu G Vainer
1Department of Chemistry and Biochemistry, Notre Dame University, Notre Dame, Indiana 46556, USA.
Physical Review Letters
|August 26, 2003
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 [Phys. Rev. Lett. 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.