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Abstract
The survival probability of solitons diffusing on a one-dimensional lattice with traps is studied numerically. The solitons are assumed to collapse once they collide with one another or reach the traps. It turns out that as the density of the traps increases the decay profile tends to change into an exponential-like form from the extremely nonexponential one specific to the geminate recombination on a trap-free lattice. The randomness of the distance between adjacent traps, as well as the disorder of the intersite energy barriers for the hopping motion of solitons, functions to reduce the deviation of the decay profile from the case of the trap-free lattice. Our calculation reproduces the temperature-dependent decay profiles of the photoinduced neutral solitons observed recently in an MX-chain compound {[Pt(en)2][Pt(en)2Cl2]}3(CuCl4)4・12H2O well. It is suggested that the traps are located at every 7 to 8 segments of the lattice and the height of energy barriers is irregular to some extent. The periodicity of the valence of Cu ions is discussed on the basis of this result.
The survival probability of solitons diffusing on a one-dimensional lattice with traps is studied numerically. Solitons are assumed to collapse once they collide with one another or reach traps. It turns out that, as the density of traps increases, the decay profile tends to change into an exponential-like form from an extremely nonexponential one specific to the geminate recombination on a trap-free lattice. The randomness of the distance between adjacent traps, as well as the disorder of the intersite energy barriers for the hopping motion of solitons, functions to reduce the deviation of the decay profile from that in the case of the trap-free lattice. Our calculation well reproduces the temperature-dependent decay profiles of the photoinduced neutral solitons that have been observed recently in the MX-chain compound {[Pt(en)_2][Pt(en)_2Cl_2]}_3(CuCl_4)_4・12H_2O. It is suggested that traps are located at every 7 to 8 segments of the lattice and that the height of energy barriers is irregular to some extent. The periodicity of the valence of Cu ions is discussed on the basis of this result.
Journal
- Journal of the Physical Society of Japan [List of Volumes]
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Journal of the Physical Society of Japan 78(3), "034704-1"-"034704-7", 2009-03-15 [Table of Contents]
The Physical Society of Japan (JPS)