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Charged solitons in branched conducting polymers

D. BabajanovTurin Polytechnic University in Tashkent 1 , 17 Niyazov Str., 100095 Tashkent, UzbekistanH. MatyokubovUrgench State University 2 , 14 H. Olimjon Str., 220100 Urgench, UzbekistanD. MatrasulovTurin Polytechnic University in Tashkent 1 , 17 Niyazov Str., 100095 Tashkent, Uzbekistan
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We consider the dynamics of charged solitons in branched conducting polymers, such as, e.g., trans-polyacetylene. An effective model based on the sine-Gordon equation on metric graphs is used for computing the charge transport and scattering of charge carriers at the polymer branching points. The condition for the ballistic charge carrier transport is revealed.

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