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

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.
Authors:
 [1] ;  [2] ;  [3] ;  [1] ;  [4]
  1. Department of Mathematics, Wayne State University, 656 W. Kirby, Detroit, Michigan 48202 (United States)
  2. Department of Chemistry, Wayne State University, 5101 Cass Ave., Detroit, Michigan 48202 (United States)
  3. Theoretical Division, Center for Nonlinear Studies, and Center for Integrated Nanotechnologies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
  4. (United States)
Publication Date:
OSTI Identifier:
22416168
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Chemical Physics; Journal Volume: 142; Journal Issue: 8; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; BRANCHING RATIO; EXCITATION; EXCITED STATES; ONE-DIMENSIONAL CALCULATIONS; ORGANIC SEMICONDUCTORS; QUANTUM STATES; QUASI PARTICLES; S MATRIX; SCATTERING; STANDING WAVES; TOPOLOGY