中国物理B ›› 2009, Vol. 18 ›› Issue (10): 4130-4135.doi: 10.1088/1674-1056/18/10/011

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The nonlinear Wannier function in square Kr?nig--Penney model

薛锐1, 李卫东1, 梁兆新2   

  1. (1)Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China; (2)Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China
  • 收稿日期:2009-03-05 修回日期:2009-04-17 出版日期:2009-10-20 发布日期:2009-10-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10674087), 973 Program (Grant Nos 2006CB921603 and 2008CB317103), the Natural Science Foundation of Shanxi Province of China (Grant No 200611004), NCET (NCET-06-0259) and IMR

The nonlinear Wannier function in square Kr?nig--Penney model

Xue Rui(薛锐)a), Liang Zhao-Xin(梁兆新)b), and Li Wei-Dong(李卫东)a)†   

  1. a Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China; b Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China
  • Received:2009-03-05 Revised:2009-04-17 Online:2009-10-20 Published:2009-10-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10674087), 973 Program (Grant Nos 2006CB921603 and 2008CB317103), the Natural Science Foundation of Shanxi Province of China (Grant No 200611004), NCET (NCET-06-0259) and IMR

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摘要： The nonlinear Wannier functions in square Krönig-Penney potential are investigated with the help of a set of exact nonlinear Bloch solutions. The nonlinear interaction makes the Wannier functions fall off as non-exponential law with distance and enhances the tunneling coupling between the neighbor sites.

Abstract: The nonlinear Wannier functions in square Kr?nig-Penney potential are investigated with the help of a set of exact nonlinear Bloch solutions. The nonlinear interaction makes the Wannier functions fall off as non-exponential law with distance and enhances the tunneling coupling between the neighbor sites.

Key words: exact nonlinear Bloch solution, nonlinear Wannier function

中图分类号:  (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

  • 03.75.Lm
02.30.Sa (Functional analysis) 03.75.Kk (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)