The influence of loops formation on the electronical spectrum of polymers

Summary form only given. The different conformations of quasi-one-dimensional macromolecule are considered. They offer different systems of loops on the macromolecule. Using a strong-coupling approximation, spectrums of such macromolecules are researched on the base of method of Green's function. Electronical spectrum of macromolecule is calculated with the help of Daison equation and topological pertrubation operator. The latter discribes the topology variations of this system, taking into account an interactions of atoms in the crosspieces of loops. The local states are obtained for different number of loops (one, two) and their different location on the macromolecule. For example of one loop, two local levels are obtained. Their energy depends on loop's size and can be classificated following the dependance of even or odd number of atoms in the loop. Calculations show, that energy module of local states is decreased whith increasing of loop's size, quickly saturating till some amount. In case of more complicated topology of macromolecule, its electronical spectrum is more complicated as well.

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