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Updated: May 18, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
Möbius transformations and electronic transport properties of large disorderless networks
Yu Jiang1, M Martínez-Mares, E Castaño
1Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, México Distrito Federal, Mexico.
Abstract:
We show that the key transport states, insulating and conducting, of large regular networks of scatterers can be described generically by negative and zero Lyapunov exponents, respectively, of Möbius maps that relate the scattering matrix of systems with successive sizes. The conductive phase is represented by weakly chaotic attractors that have been linked with anomalous transport and ergodicity breaking. Our conclusions, verified for serial as well as parallel stub and ring structures, reveal that mesoscopic behavior results from a drastic reduction of degrees of freedom.
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