Discrete gap breathers in a two-dimensional diatomic face-centered square lattice |
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| Authors: | Lü Bin-Bin Tian Qiang |
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| Affiliation: | Department of Physics, Beijing Normal University, Beijing
100875, China |
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| Abstract: | In this paper we study the existence and stability of two-dimensional discrete gap
breathers in a two-dimensional diatomic face-centered square lattice
consisting of alternating light and heavy atoms, with on-site
potential and coupling potential. This study is focused on
two-dimensional breathers with their frequency in the gap that
separates the acoustic and optical bands of the phonon spectrum. We
demonstrate the possibility of the existence of two-dimensional gap
breathers by using a numerical method. Six types of two-dimensional
gap breathers are obtained, i.e., symmetric, mirror-symmetric and
asymmetric, whether the center of the breather is on a light or a
heavy atom. The difference between one-dimensional discrete gap
breathers and two-dimensional discrete gap breathers is also
discussed. We use Aubry's theory to analyze the stability of
discrete gap breathers in the two-dimensional diatomic face-centered
square lattice. |
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| Keywords: | discrete gap breathers two-dimensional diatomic face-centered square lattice linear
stability coupling parameters |
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