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Exciton-polariton soliton wavetrains in molecular crystals with dispersive long-range intermolecular interactions

2018/05/27 by E. Nji Nde Aboringong, Alain M. Dikandé · 3 citations
Chemistry · Physics and Astronomy · #Advanced Fiber Laser Technologies #Boundary value problem #Chemical physics #Chemistry #Condensed matter physics #Dispersion (optics) #Exciton #Intermolecular force #Ionic bonding #Molecular physics #Molecule #Nonlinear Photonic Systems #Nonlinear system #Periodic boundary conditions #Physics #Polariton #Quantum mechanics #Soliton #Strong Light-Matter Interactions #cond-mat.mes-hall #cond-mat.other #nlin.PS #physics.bio-ph #van der Waals force

paper · pdf · doi:10.1140/epjp/i2018-12086-x

published in The European Physical Journal Plus 133(7) (Springer Science+Business Media) · 7 pages, 12 figures, submitted to EPJ Plus

arxiv created 2018/05/27 · openalex created_date 2018/06/13 · openalex publication_date 2018/07/01 · arxiv updated 2019/05/06 · openalex updated_date 2026/08/05

Abstract

The peculiar crystal structure of one-dimensional molecular solids originates from packing of an array of molecules in which intermolecular interactions are dominantly dispersive, including hydrogen-bond, van der Waals and London-type forces. These forces are usually relatively weaker than covalent and ionic bondings such that long-range intermolecular interactions should play important role in dispersion properties of molecular crystals such as polymers and biomolecular chain structures. In this work the effects of long but finite-range intermolecular interactions on single-exciton dispersion energy, and hence on characteristic parameters of periodic soliton trains associated with bound exciton-polariton states in one-dimensional molecular crystals interacting with an electromagnetic field, are investigated. Long-range interactions are shown to quantitatively modify the exciton-polariton soliton amplitudes, width and velocity as a result of shrinkage of the single-exciton energy spectrum. The soliton structures of interest are nonlinear wavetrains, consisting of periodically ordered single-pulse (i.e. bright) or single-kink (i.e. dark) solitons with equal separation between the constituent single-soliton modes. Periodic soliton structures are relevant and best suited for finite-size chain systems, where periodic boundary conditions rule the generation of nonlinear wave profiles. Generally they are of weaker nonlinearity compared to their single-soliton constituents as well established within the framework of their generation via the process of modulational instability

Citations