The manifestation of spin-selectivity of the singlet exciton decay into a pair of triplets in the kinetics of the exciton decay in rubrene films

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Abstract

The kinetics of singlet fission (SF) (i.e. spontaneous splitting of the excited singlet state into a pair of triplet (T) excitons (TT-pair)) is known to be be essentially affected by TT-annihilation (TTA), which manifests in magnetic field effects on the TTA and, in particular, in the magnetic-field dependence of the SF-kinetics. In this work, within the two-state model (TSM), the method of treating the magnetic field effects on the SF-kinetics, which allows for the correct description of the manifestation of stochastic migration of Texcitons assuming that the manifestation results from transition from two states of coupled and freely diffusing T-excitons. Within the TSM the analytical expression for the magnetic-field-dependent part of the SF-kinetics is derived. This expression is applied to the analysis of the SF-kinetic measured in amorphous rubrene films in the absence magnetic field and in the field B = 8 kGs.

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About the authors

A. I. Shushin

Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences

Author for correspondence.
Email: shushin@chph.ras.ru
Russian Federation, Moscow

S. Ya. Umanskii

Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences

Email: shushin@chph.ras.ru
Russian Federation, Moscow

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2. Fig. 1. Comparison of the experimental RSS kinetics psex(t) for amorphous rubrene films at B ≈ 0 (circles) and B ≈ 8 kG (squares) [14, 15] with the theoretical dependence ps(t) calculated at B ≈ 0 (solid line) and B ≈ 8 kG (dashed line) using formulas (20)–(25). The calculation was performed for krs = 0.37 ns–1, vector z = (0.2; 1.44; 0.14; 1.7) and other parameters, as well as the same spin-lattice relaxation rates wc/krs = we/krs = 0.25 in the [TT] and [T+T] states. For comparison, the asymptotic dependence ps(t) ~ t–3/2 (dash-dotted line) is also shown.

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