We study the ratchet behaviour of polarons in diatomic molecular chains under the influence of an external electromagnetic field which is periodic in time. We show that in asymmetric chains a harmonic unbiased field causes a drift of polarons. This phenomenon has a threshold with respect to the intensity and the frequency of the field. In spatially symmetric chains a harmonic periodic electric field generates oscillations of polarons but does not result in their movement. Such a drift current can be induced in symmetric chains by a time periodic asymmetric external field. This complex dynamics of polarons is generated by the interplay between the Peierls— Nabarro barrier and dissipative effects in the system. The dependence of the amplitude of soliton oscillations and the velocity of the drift are calculated depending on the intensity of the field, its frequency and the coefficient of the energy dissipation.
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References
P. Reinmann, Phys. Rep., 361, 57 (2002)
A.S. Davydov, Solitons in Molecular Systems. Dordrecht, Reidel (1985)
W.P. Su, J.R. Schriefer, A.J. Heeger, Phys. Rev. Lett. 42, 1698 (1979); Phys. Rev. B 22, 2099 (1980)
A.J. Heeger, S. Kivelson, J.R. Schrieffer, W.-P. Su, Rev. Mod. Phys. 60, 781 (1988)
M.J. Rice, S.R. Phillpot. Phys. Rev. Lett. 58, 937 (1987); M.J. Rice, S.R. Phillpot, A.R. Bishop, D.K. Campbell. Phys. Rev. B 34, 4139 (1986)
J.L. Bredas, J.C. Scott, K. Yakushi, G.B. Street, Phys. Rev. B 30, 1023 (1984)
T.-C. Chung, J.H. Kaufman, A.J. Heeger, F. Wudle, Phys. Rev. B 30, 702 (1984)
E.M. Cowell, S.V. Rakhmanova, PNAS, 97, 4556 (2000)
S. Denisov, S. Flach, A.A. Ovchinnikov, O. Yevtushenko, Y. Zolotaryuk, Phys. Rev. E 66, 041104 (2002); S. Flach, O. Yevtushenko, Y. Zolotaryuk, Phys. Rev. Lett. 84, 2358 (2000); S. Flach, Y. Zolotaryuk, A.E. Miroshnichenko, M.V. Fistul Phys. Rev. Lett. 88, 184101 (2002); M. Salerno, Y. Zolotaryuk, Phys. Rev. E 65, 056603 (2002)
A.V. Ustinov, C. Coqui, A. Kemp, Y. Zolotaryuk, M. Salerno, Phys. Rev. Lett. 99, 087001 (2004); Y. Zolotaryuk, M. Salerno, Phys. Rev. E 73, 066621 (2006)
L. Morales-Molina, N.R. Quintero, A. Sánchez, F.G. Mertens, Chaos 16, 013117 (2006)
Ya. Zolotaryuk, M. Salerno, Phys. Rev. E 73, 066621 (2006)
A.V. Gorbach, S. Denisov, S. Flach, Opt. Lett. 31, 1702 (2006)
L. Brizhik, L. Cruzeiro-Hansson, A. Eremko, Yu. Olkhovska, Phys. Rev. B 61, 1129 (2002); Ukr. J. Phys. 43, 667 (2003)
V.A. Kuprievich, Phys. D 14, 395 (1985); Teor. Mat. Fiz. (in Russian) 64, 269 (1985); Ukr. J. Phys. (in Russian) 30, 972 (1985); A.A. Vakhnenko, Yu.B. Gaididey, Teor. Mat. Fiz. (in Russian) 68, 350 (1986); V.A. Kuprievich, Z.G. Kudritskaya, O.V. Shramko, Ukr. J. Phys. (in Russian) 32, 498 (1987); O.O. Vakhnenko, V.O. Vakhnenko, Phys. Lett. A 196, 307 (1995)
O.M. Braun, Y.S. Kivshar, Phys. Rep. 306, 2 (1998)
A.A. Davydov, A.A. Eremko, Teor. Mat. Fiz. 43, 367 (1980) (in Russian)
L.S. Brizhik, A.A. Eremko, B.M.A.G. Piette, W.J. Zakrzewski (in preparation)
G.M. Zaslavsky, Physics of Chaos in Hamiltonian Systems. Imperial College Press, London (1998)
L. Brizhik, A. Eremko, Phys. Alive 5, 9 (1997)
L. Brizhik, L. Cruzeiro-Hansson, A. Eremko, J. Biol. Phys. 24, 223 (1999)
J. Luczka, R. Bartussek, P. Hänggi, Europhys. Lett. 31, 431 (1995); J. Luczka, T. Chernik, P. Hänggi, Phys. Rev. E 56, 3968 (1997)
E.G. Wilson, J. Phys. C 16, 6739 (1983)
G. Grüner, Rev. Mod. Phys. 60, 1129 (1988)
L.S. Brizhik, A.S Davydov. Sov. J. Low Temp. Phys. 10, 748 (1984); L.S. Brizhik, Sov. J. Low Temp. Phys. 12, 437 (1986)
A.A. Eremko, Phys. Rev. B 46, 3721 (1992); ibid 50, 5160 (1994)
K. Seeger, W. Maurer, Sol. St. Comm. 27, 603 (1978)
W. Wonneberger, Sol. St. Comm. 30, 511 (1979)
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Brizhik, L., Eremko, A., Piette, B., Zakrzewski, W. (2009). Field Driven Current in Nonlinear Low-Dimensional Nanosystems. In: Magarshak, Y., Kozyrev, S., Vaseashta, A.K. (eds) Silicon Versus Carbon. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2523-4_13
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