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

@article{Catanzaro2015CountingTN, title={Counting the number of excited states in organic semiconductor systems using topology.}, author={Michael J. Catanzaro and Tian Shi and Sergei Tretiak and Vladimir Y. Chernyak}, journal={The Journal of chemical physics}, year={2015}, volume={142 8}, pages={ 084113 } }

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…

## 3 Citations

Exciton scattering approach for optical spectra calculations in branched conjugated macromolecules

- Chemistry, Physics
- 2016

How Geometric Distortions Scatter Electronic Excitations in Conjugated Macromolecules.

- ChemistryThe journal of physical chemistry letters
- 2014

This work efficiently characterize how electronic excitations in branched conjugated molecules interact with molecular distortions using the exciton scattering (ES) approach as a fundamental principle combined with effective tight-binding models to modify the entire electronic spectra with negligible numerical cost.

Exciton scattering via algebraic topology

- MathematicsJournal of Topology and Analysis
- 2019

This paper introduces an intersection theory problem for maps into a smooth manifold equipped with a stratification. We investigate the problem in the special case when the target is the unitary…

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