中国物理B ›› 2007, Vol. 16 ›› Issue (1): 272-276.doi: 10.1088/1009-1963/16/1/046

• • 上一篇    

Extended Holstein polaron model for charge transfer in dry DNA

王忆1, 刘涛2, 汪克林3   

  1. (1)Institute of Thin Films and Nano Materials, Wuyi University, Jiangmen 529020, China;Department of Astronomy and Applied Physics,University of Science and Technology of China, Hefei 230026, China; (2)School of Science, Southwest University of Science and Technology, Mianyang 621002, China; (3)School of Science, Southwest University of Science and Technology, Mianyang 621002, China;Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei 230026, China
  • 收稿日期:2005-09-05 修回日期:2006-07-26 出版日期:2007-02-01 发布日期:2007-02-01
  • 基金资助:
    Project supported by the National Nature Science Foundation of China (Grant No 50272063) and \ the Foundation for Excellent Talents of Anhui Province, China (Grant No 2001Z016).

Extended Holstein polaron model for charge transfer in dry DNA

Liu Tao(刘涛)a), Wang Yi(王忆)b)c), and Wang Ke-Lin(汪克林)a)c)   

  1. a School of Science, Southwest University of Science and Technology, Mianyang 621002, China; b Institute of Thin Films and Nano Materials, Wuyi University, Jiangmen 529020, China; c Department of Astronomy and Applied Physics,University of Science and Technology of China, Hefei 230026, China
  • Received:2005-09-05 Revised:2006-07-26 Online:2007-02-01 Published:2007-02-01
  • Supported by:
    Project supported by the National Nature Science Foundation of China (Grant No 50272063) and \ the Foundation for Excellent Talents of Anhui Province, China (Grant No 2001Z016).

摘要: The variational method is applied to the study of charge transfer in dry DNA by using an extended Holstein small polaron model in two cases: the site-dependent finite-chain discrete case and the site-independent continuous one. The treatments in the two cases are proven to be consistent in theory and calculation. Discrete and continuous treatments of Holstein model both can yield a nonlinear equation to describe the charge migration in an actual long-range DNA chain. Our theoretical results of binding energy Eb, probability amplitude of charge carrier \phi and the relation between energy and charge--lattice coupling strength are in accordance with the available experimental results and recent theoretical calculations.

关键词: Holstein polaron model, dry DNA, charge transfer, variational method

Abstract: The variational method is applied to the study of charge transfer in dry DNA by using an extended Holstein small polaron model in two cases: the site-dependent finite-chain discrete case and the site-independent continuous one. The treatments in the two cases are proven to be consistent in theory and calculation. Discrete and continuous treatments of Holstein model both can yield a nonlinear equation to describe the charge migration in an actual long-range DNA chain. Our theoretical results of binding energy Eb, probability amplitude of charge carrier $\phi$ and the relation between energy and charge--lattice coupling strength are in accordance with the available experimental results and recent theoretical calculations.

Key words: Holstein polaron model, dry DNA, charge transfer, variational method

中图分类号:  (Nucleic acids)

  • 87.14.G-
36.20.Fz (Constitution (chains and sequences)) 87.10.-e (General theory and mathematical aspects) 87.15.K- (Molecular interactions; membrane-protein interactions) 87.15.N- (Properties of solutions of macromolecules)