Publication: Super Bloch oscillations in the Peyrard-Bishop-Holstein model
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2012-01-09
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Recently, polarons in the Peyrard-Bishop-Holstein model under DC electric fields were established to perform Bloch oscillations, provided the charge-lattice coupling is not large. In this work, we study this model when the charge is subjected to an applied field with both DC and AC components. Similarly to what happens in the rigid lattice, we find that the carrier undergoes a directed motion or coherent oscillations when the AC field is resonant or detuned with respect to the Bloch frequency, respectively. The electric density current and its Fourier spectrum are also studied to reveal the frequencies involved in the polaron dynamics.
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This work was supported by MICINN (projects MAT2010-17180 and MOSAICO). C. H. acknowledges financial support by MEC (Program Becas de Colaboración).
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[1] W. A. Harrison, Solid State Theory. Dover Publications, (1980).
[2] F. Bloch, Z. Phys. 52, 555 (1928).
[3] C. Zener, Proc. R. Soc. London, Ser. A 145, 523 (1934).
[4] D. H. Dunlap and V. M. Kenkre, Phys. Lett. A 127, 438 (1988).
[5] L. Esaki and R. Tsu, IBM J. Res. Div. 14, 61 (1970).
[6] N. W. Ashcroft, and N. D. Mermin, Solid State Physics. Saunders Colledge Publishers, New York, (1976).
[7] J. Feldmann, K. Leo, J. Shah, D. A. B. Miller, J. E. Cunningham, T. Meier, G. von Plessen, A. Schulze, P. Thomas, and S. Schmitt-Rink, Phys. Rev. B 46, R7252 (1992).
[8] C. Waschke, H. G. Roskos, R. Schwedler, K. Leo, H. Kurz, and K. Köhler, Phys. Rev. Lett. 70, 3319 (1993).
[9] T. Dekorsy, P. Leisching, K. K¨ohler, and H. Kurz, Phys. Rev. B 50, R8106 (1994).
[10] R. Martini, G. Klose, H. G. Roskos, H. Kurz, H. T. Grahn, and R. Hey, Phys. Rev. B 54, R14325 (1996).
[11] F. Löser, Yu. A. Kosevich, K. K¨ohler, and K. Leo, Phys. Rev. B 61, R13373 (2000).
[12] M. BenDahan, E. Peik, J. Reichel, Y. Castin, and C. Salomon, Phys. Rev. Lett. 76, 4508 (1996).
[13] S. R. Wilkinson, C. F. Bharucha, K. W. Madison, Q. Niu, and M. G. Raizen, Phys. Rev. Lett. 76, 4512 (1996).
[14] B. P. Anderson and M. A. Kasevich, Science 282, 1686 (1998).
[15] G. Roati et al., Phys. Rev. Lett. 92, 230402 (2004).
[16] L. Fallani, L. De Sarlo, J. E. Lye, M. Modugno, R. Saers, C. Fort, and M. Inguscio, Phys. Rev. Lett. 93, 140406 (2004).
[17] A. Trombettoni and A. Smerzi, Phys. Rev. Lett. 86, 2353 (2001).
[18] M. Gustavsson et al., Phys. Rev. Lett. 100, 080404 (2008).
[19] C. Gaul, R. P. A. Lima, E. Díaz, C. A. Müller, and F. Domínguez-Adame, Phys. Rev. Lett. 102, 255303 (2009).
[20] P. Maniadis, G. Kalosakas, K. Ø. Rasmunssen, and A. R. Bishop, Phys. Rev. E 72, 021912 (2005).
[21] E. Díaz, R.P.A. Lima and F. Domínguez-Adame, Phys. Rev. B 78, 134303 (2008). Kolovsky10Thommen02Alberti09Ivanov08
[22] A. R.. Kolovsky and H. J. Korsch, J. Siberian Federal University, Math. and Phys. 3, 311 (2010).
[23] Q. Thommen, J. C. Garreau, and V. Zehnlé, Phys. Rev. A 65, 053406 (2002);
[24] A. Alberti et al., Nature Phys. 5, 547 (2009).
[25] V. V. Ivanov. A. Alberti, M. Schioppo, G. Ferrari, M. Artoni, M. L. Chiofalo, and G. M. Tino Phys. Rev. Lett. 100, 043602 (2008).
[26] E. Haller et al., Phys. Rev. Lett. 104, 200403 (2010).
[27] R. A. Cateano and M. L. Lyra, Phys. Lett. A 375, 2770 (2011).
[28] M. Peyrard and A. R. Bishop, Phys. Rev. Lett. 62, 2755 (1989).
[29] T. Dauxois and M. Peyrard, Phys. Rev. E 47, R44 (1993).
[30] S. Komineas, G. Kalosakas, and A. R. Bishop, Phys. Rev. E 6 061905 (2002).
[31] Y. J. Yan and H. Zhang, J. Theor. Comp. Chem. 1, 225 (2002).
[32] A. Voityuk, J. Jortner, M. Bixon, and N. Roesch, J. Chem. Phys. 114, 5614 (2002). [33] K. Senthilkumar, F. C. Grozema, C. F. Guerra, F. M. Bickelhaupt, F. D. Lewis, Y. A. Berlin, M. A. Ratner, and L. D. A. Siebbeles, J. Am. Chem. Soc. 127, 14894 (2005).
[34] G. Kalosakas, S. Aubry, and G. P. Tsinronis, Phys. Rev. B 58, 3094 (1998).