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Nonlinearity Effect on a 1D Periodic Lattice
Author(s) -
Zekri N.,
Zekri N.,
Bahlouli H.
Publication year - 1998
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/(sici)1521-3951(199802)205:2<511::aid-pssb511>3.0.co;2-d
Subject(s) - nonlinear system , particle in a one dimensional lattice , lattice (music) , condensed matter physics , periodic potential , band gap , physics , energy spectrum , sign (mathematics) , quasi periodic , empty lattice approximation , rectangular potential barrier , statistical physics , quantum mechanics , mathematics , mathematical analysis , acoustics , reciprocal lattice , diffraction , astrophysics
We study the effect of nonlinearity on the energy spectrum of a one‐dimensional Kronig‐Penney lattice of potential barriers and wells, consecutively. It is found for potential barriers that the bandgap either broadens or gets suppressed depending on the sign of the nonlinear interaction. This behavior is reversed if we consider a periodic system of potential wells. These features are explained with the help of a simple double barrier (or well) system.