2017/06/26 by N Bondarenko, N. Bondarenko, O. Eriksson +5
Mathematics · Physics and Astronomy · #Chain (unit) #Crystal (programming language) #Dynamics (music) #Limit (mathematics) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Periodic potential #Quantum Mechanics and Non-Hermitian Physics #Stability (learning theory) #cond-mat.other #cond-mat.stat-mech #math-ph #math.MP #nlin.PS
paper · pdf · doi:10.1088/1361-648x/ab306e
published as J. Phys.: Condens. Matter 31, 415401 (2019) · 5 pages, 2 figures and Supplementary information
arxiv created 2017/06/26 · openalex created_date 2017/07/14 · openalex publication_date 2019/07/09 · arxiv updated 2019/10/18 · openalex updated_date 2026/08/06
Multipolaron solutions were studied in the framework of the Holstein one-dimensional molecular crystal model. The study was performed in the continuous limit where the crystal model maps into the nonlinear Schrödinger equation for which a new periodic dnoidal solution was found for the multipolaron system. In addition, the stability of the multi-polaron solutions was examined, and it was found that cnoidal and dnoidal solutions stabilize in different ranges of the parameter space. Moreover, the model was studied under the influence of nonlocal effects and the polaronic dynamics was described in terms of internal solitonic modes.