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Wave‐Packet Dynamics in Nonlinear Disordered Chains under the Effect of Acoustic Waves
Author(s) -
de Oliveira Sales Messias,
Ranciaro Neto Adhemar,
de Moura Francisco Anacleto Barros Fidelis
Publication year - 2018
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201800242
Subject(s) - wave packet , physics , condensed matter physics , nonlinear system , hamiltonian (control theory) , lattice (music) , morse potential , quantum mechanics , mathematics , acoustics , mathematical optimization
In this work, the wave‐packet dynamics is considered under the effect of diagonal disorder distribution, electron–lattice interaction, and acoustic‐wave pumping. Electronic transport is taken into account quantum mechanically, whereas lattice vibrations are described through a classical nonlinear Morse Hamiltonian. The electronic hopping term takes the form of an exponential function of the effective distance between nearest‐neighbor lattice elements. The electron wave‐packet is initially localized at the first site of the chain alongside a Gaussian pulse generator. The results suggest that the disorder distribution breaks down the solitonic energy profile that exists within this kind of nonlinear Morse lattice. On the other hand, it is shown that the acoustic pumping sustains the wave packet dynamics within this disordered nonlinear model.
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