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Chin. Phys. B, 2009, Vol. 18(10): 4393-4406    DOI: 10.1088/1674-1056/18/10/049
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

Discrete gap breathers in a two-dimensional diatomic face-centered square lattice

ü Bin-Bin(吕彬彬) and Tian Qiang(田强)
Department of Physics, Beijing Normal University, Beijing 100875, China
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.
Keywords:  discrete gap breathers      two-dimensional diatomic face-centered square lattice      linear stability      coupling parameters  
Received:  04 January 2009      Revised:  20 May 2009      Accepted manuscript online: 
PACS:  63.20.D- (Phonon states and bands, normal modes, and phonon dispersion)  
  61.50.Ah (Theory of crystal structure, crystal symmetry; calculations and modeling)  
  63.20.Pw (Localized modes)  
  71.15.-m (Methods of electronic structure calculations)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10574011), and the Foundation for Researching Group by Beijing Normal University.

Cite this article: 

ü Bin-Bin(吕彬彬) and Tian Qiang(田强) Discrete gap breathers in a two-dimensional diatomic face-centered square lattice 2009 Chin. Phys. B 18 4393

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