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Counting the number of excited states in organic semiconductor systems using topology
Michael J Catanzaro1, Tian Shi2, Sergei Tretiak3
1Department of Mathematics, Wayne State University, 656 W. Kirby, Detroit, Michigan 48202, USA.
Abstract:
Exciton scattering 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 a 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.
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