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American Institute of Physics, The Journal of Chemical Physics, 8(142), p. 084113

DOI: 10.1063/1.4908560

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Counting the number of excited states in organic semiconductor systems using topology

Journal article published in 2015 by Michael J. Catanzaro, Tian Shi ORCID, Sergei Tretiak ORCID, Vladimir Y. Chernyak
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

Exciton Scattering (ES) theory attributes excited electronic states to standing waves in quasi-one-dimensional molecular materials by assuming a quasi-particle picture of optical excitations. The quasi-particle properties at branching centers are described by the corresponding scattering matrices. Here we identify the topological invariant of scattering center, referred to as its winding number, and apply topological intersection theory to count the number of quantum states in a quasi-one-dimensional system.