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.
Department of Mathematics, Wayne State University, 656 W. Kirby, Detroit, Michigan 48202, USA.
Michael J
MJ
Catanzaro
Department of Chemistry, Wayne State University, 5101 Cass Ave., Detroit, Michigan 48202, USA.
Tian
T
Shi
Theoretical Division, Center for Nonlinear Studies, and Center for Integrated Nanotechnologies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Sergei
S
Tretiak
Department of Mathematics, Wayne State University, 656 W. Kirby, Detroit, Michigan 48202, USA.
Vladimir Y
VY
Chernyak