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Existence and Stability of Two-Dimensional Compact-Like Discrete Breathers in Discrete Two-Dimensional Monatomic Square Lattices |
| XU Quan1,2;TIAN Qiang2 |
| 1Scientific and Technological Office, Daqing Normal University, Daqing 163712 2Department of Physics, Beijing Normal University, Beijing 100875 |
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| Cite this article: |
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XU Quan, TIAN Qiang 2007 Chin. Phys. Lett. 24 3347-3350 |
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Abstract Two-dimensional compact-like discrete breathers in discrete two-dimensional monatomic square lattices are investigated by discussing a generalized discrete two-dimensional monatomic model. It is proven that the two-dimensional compact-like discrete breathers exist not only in two-dimensional soft ψ4 potentials but also in hard two-dimensional ψ4 potentials and pure two-dimensional K4 lattices. The measurements of the two-dimensional compact-like discrete breather cores in soft and hard two-dimensional ψ4 potential are determined by coupling parameter K4, while those in pure two-dimensional K4 lattices have no coupling with parameter K4. The stabilities of
the two-dimensional compact-like discrete breathers correlate closely to the coupling parameter K4 and the boundary condition of lattices.
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| Keywords:
05.45.Xt
02.30.Jr
63.20.Pw
63.20.Ry
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Received: 01 September 2007
Published: 03 December 2007
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