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Extended Holstein polaron model for charge transfer in dry DNA
Authors:Liu Tao  Wang Yi and Wang Ke-Lin
Affiliation:School of Science, Southwest University of Science and Technology, Mianyang 621002, China;  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
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.
Keywords:Holstein polaron model  dry DNA  charge transfer  variational method
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