Fluorescence decay in aperiodic Frenkel lattices

Details Fluorescence decay in aperiodic Frenkel lattices Fluorescence decay in aperiodic Frenkel lattices

1996-02-23

arxiv.org/abs/cond-mat/9602127v1

Physics

Condensed Matter

REVTeX 3.0 + 3PostScript Figures + epsf.sty (uuencoded). To appear in Physical Review B

Scientific paper

10.1103/PhysRevB.53.13921

We study motion and capture of excitons in self-similar linear systems in which interstitial traps are arranged according to an aperiodic sequence, focusing our attention on Fibonacci and Thue-Morse systems as canonical examples. The decay of the fluorescence intensity following a broadband pulse excitation is evaluated by solving the microscopic equations of motion of the Frenkel exciton problem. We find that the average decay is exponential and depends only on the concentration of traps and the trapping rate. In addition, we observe small-amplitude oscillations coming from the coupling between the low-lying mode and a few high-lying modes through the topology of the lattice. These oscillations are characteristic of each particular arrangement of traps and they are directly related to the Fourier transform of the underlying lattice. Our predictions can be then used to determine experimentally the ordering of traps.

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