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Internal dynamics of a polaron uniformly moving along a molecular chain in a constant electric field

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  • Korshunova, A.N.
  • Lakhno, V.D.

Abstract

This paper presents a detailed study of the uniform motion of a Holstein polaron as it moves along a chain in a constant electric field. The calculations showed that, depending on the parameters of the system, the duration of the uniform motion of the polaron along the chain can reach tens and hundreds of Bloch periods for a given value of the electric field intensity. It is shown that in the process of the uniform motion, the macro-part of the polaron moves at a constant velocity, retaining its shape. At the same time, the low-density components of the polaron, which arise immediately when a constant electric field is instantaneously switched on, have their own internal dynamics and demonstrate characteristic elements of the Bloch oscillations, such as the period of Bloch oscillations and the maximum Bloch amplitude. It is shown that not only the velocity and duration of the uniform motion of the polaron, but also the characteristics of the low-density components of the polaron depend on the value of the electric field intensity.

Suggested Citation

  • Korshunova, A.N. & Lakhno, V.D., 2024. "Internal dynamics of a polaron uniformly moving along a molecular chain in a constant electric field," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    • Handle: RePEc:eee:chsofr:v:182:y:2024:i:c:s0960077924003382
    DOI: 10.1016/j.chaos.2024.114786
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    References listed on IDEAS

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    1. V. D. Lakhno & A. N. Korshunova, 2007. "Bloch oscillations of a soliton in a molecular chain," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 55(1), pages 85-87, January.
    2. Danny Porath & Alexey Bezryadin & Simon de Vries & Cees Dekker, 2000. "Direct measurement of electrical transport through DNA molecules," Nature, Nature, vol. 403(6770), pages 635-638, February.
    3. Frederick D. Lewis & Xiaoyang Liu & Jianqin Liu & Scott E. Miller & Ryan T. Hayes & Michael R. Wasielewski, 2000. "Direct measurement of hole transport dynamics in DNA," Nature, Nature, vol. 406(6791), pages 51-53, July.
    4. Hans-Werner Fink & Christian Schönenberger, 1999. "Electrical conduction through DNA molecules," Nature, Nature, vol. 398(6726), pages 407-410, April.
    5. Ye-Long Xu & William S. Fegadolli & Lin Gan & Ming-Hui Lu & Xiao-Ping Liu & Zhi-Yuan Li & Axel Scherer & Yan-Feng Chen, 2016. "Experimental realization of Bloch oscillations in a parity-time synthetic silicon photonic lattice," Nature Communications, Nature, vol. 7(1), pages 1-6, September.
    6. A. Block & C. Etrich & T. Limboeck & F. Bleckmann & E. Soergel & C. Rockstuhl & S. Linden, 2014. "Bloch oscillations in plasmonic waveguide arrays," Nature Communications, Nature, vol. 5(1), pages 1-5, September.
    7. V. D. Lakhno & A. N. Korshunova, 2011. "Electron motion in a Holstein molecular chain in an electric field," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 79(2), pages 147-151, January.
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