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Journal of Applied Mathematics and Statistical Applications | Volume: 1

August 23-24, 2018 | London, UK

Applied Physics

International Conference on

Charge transport in branched conducting polymers: Quantum graphs based approach

Doniyor Babajanov

Turin Polytechnic University in Tashkent, Uzbekistan

onducting polymers has attracted much attention recently

in the context of organic electronics. Some types of such

polymers can have supramolecular (macroscopic) branching.

Branched polymers occur when groups of units branch off from

the long polymer chain. These branches are known as side

chains and can also be very long groups of repeating structures.

Branching polymers can be further categorized by how they

branch off from the main chain. Polymers with many branches

are known as dendrimers, and these molecules can form a

webbing when cooled. This can make the polymer strong in the

ideal temperature range. Such branched polymer chains can be

modeled in terms of so-called quantumgraphs, which are the set

of nanoscale bonds connected at the vertices. The connection

rule is called topology of a graph. Modeling of wave dynamics in

branched conducting polymers require developing of effective

methods allowing to take into account transition of the waves

from one to another branches via the branching points. One

of such approaches is based on the use of metric graphs as the

models of the branched polymers.Within such approach, exciton

dynamics can be modeled in terms of the Schrodinger equation

on metric graphs.

In this work we use solve the problem of exciton dynamics and

charge separation (via splitting of exciton into electron and hole)

by modeling the whole system in terms of quantum graph. The

main problemwe studied is splitting of exciton from transmission

fromone branch to another one. Charge separation probability is

explicitly calculated.