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Particle transport in graphene nanoribbon driven by ultrashort pulses

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Abstract

We study charge transport in a graphene zigzag nanoribbon driven by an external time-periodic kicking potential. Using the exact solution of the time-dependent Dirac equation with a delta-kick potential acting in each period, we study the time evolution of the population transfer probability and the time-dependent optical conductivity. By variation of the kicking parameters, the conductivity becomes widely tunable.

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References

  1. A.H. Castro Neto, F. Guinea, N.M.R. Perez, K.S. Novoselov, A.K. Geim, Rev. Mod. Phys. 81, 109 (2009)

    Article  ADS  Google Scholar 

  2. N.M.R. Peres, Rev. Mod. Phys. 82, 2673 (2010)

    Article  ADS  Google Scholar 

  3. S. Das Sarma, S. Adam, E.H. Hwang, E. Rossi, Rev. Mod. Phys. 83, 407 (2011)

    Article  ADS  Google Scholar 

  4. A.V. Rozhkov, G. Giavaras, Y.P. Bliokh, V. Freilikher, F. Nori, Phys. Rep. 503, 77 (2011)

    Article  ADS  Google Scholar 

  5. A.H. Castro Neto, K. Novoselov, Rep. Prog. Phys. 74, 082501 (2011)

    Article  ADS  Google Scholar 

  6. V.N. Kotov, B. Uchoa, V.M. Pereira, F. Guinea, A.H. Castro Neto, Rev. Mod. Phys. 84, 1067 (2012)

    Article  ADS  Google Scholar 

  7. J. Güttinger, F. Molitor, C. Stampfer, S. Schnez, A. Jacobsen, S. Dröscher, T. Ihn, K. Ensslin, Rep. Prog. Phys. 75, 126502 (2012)

    Article  ADS  Google Scholar 

  8. A. Scholz, A. Lopez, J. Schliemann, Phys. Rev. B 88, 045118 (2013)

    Article  ADS  Google Scholar 

  9. A. Vaezi, N. Abedpour, R. Asgari, A. Cortijo, M.A.H. Vozmediano, Phys. Rev. B 88, 125406 (2013)

    Article  ADS  Google Scholar 

  10. A. Lopez, Z.Z. Sun, J. Schliemann, Phys. Rev. B 85, 205428 (2011)

    Article  ADS  Google Scholar 

  11. K.-H. Ding, Z.-G. Zhu, J. Berakdar, Phys. Rev. B 84, 115433 (2011)

    Article  ADS  Google Scholar 

  12. E. Perfetto, G. Stefanucci, M. Cini, Phys. Rev. B 82, 035446 (2010)

    Article  ADS  Google Scholar 

  13. C.G. Rocha, L.E.F. Foa Torres, G. Cuniberti, Phys. Rev. B 81, 115435 (2010)

    Article  ADS  Google Scholar 

  14. K.L. Ishikawa, Phys. Rev. B 82, 201402 (2010)

    Article  ADS  Google Scholar 

  15. S.E. Savelev, W. Häusler, P. Hänggi, Phys. Rev. Lett. 109, 226602 (2012)

    Article  ADS  Google Scholar 

  16. T.M. Rusin, W. Zawadzki, Phys. Rev. B 80, 045416 (2009)

    Article  ADS  Google Scholar 

  17. C.H. Lui, K.F. Mak, J. Shan, T.F. Heinz, Phys. Rev. Lett. 105, 127404 (2010)

    Article  ADS  Google Scholar 

  18. W.-T. Liu, S.W. Wu, P.J. Schuck, M. Salmeron, Y.R. Shen, F. Wang, Phys. Rev. B 82, 081408 (2010)

    Article  ADS  Google Scholar 

  19. A. Roberts, D. Cormode, C. Reynolds, T. Newhouse-Illige, B.J. LeRoy, A.S. Sandhu, Appl. Phys. Lett. 99, 051912 (2011)

    Article  ADS  Google Scholar 

  20. H.L. Calvo, H.M. Pastawski, S. Roche, L.E.F. Foa Torres, Appl. Phys. Lett. 98, 232103 (2011)

    Article  ADS  Google Scholar 

  21. T. Li, L. Luo, M. Hupalo, J. Zhang, M.C. Tringides, J. Schmalian, J. Wang, Phys. Rev. Lett. 108, 167401 (2012)

    Article  ADS  Google Scholar 

  22. H.K. Kelardeh, V. Apalkov, M.I. Stockman, arXiv:1401. 5786 (2014)

  23. H.K. Avetissian, A.K. Avetissian, G.F. Mkrtchian, Kh.V. Sedrakian, Phys. Rev. B 85, 115443 (2012)

    Article  ADS  Google Scholar 

  24. P. Thalmeier, B. Dora, K. Ziegler, Phys. Rev. B 81, 041409(R) (2010)

    Article  ADS  Google Scholar 

  25. G. Casati et al., in Stochastic Behavior in Classical and Quantum Hamiltonian Systems, Lecture Notes in Physics (Springer, Berlin, 1979), Vol. 93, p. 334

  26. R. Sankaranarayanan, V.B. Sheorey, Phys. Lett. A 338, 288 (2005)

    Article  ADS  MATH  Google Scholar 

  27. G.M. Izrailev, Phys. Rep. 196, 299 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  28. L. Brey, H.A. Fertig, Phys. Rev. B 73, 235411 (2006)

    Article  ADS  Google Scholar 

  29. F.L. Moore, J.C. Robinson, C.F. Bharucha, B. Sundaram, M.G. Raizen, Phys. Rev. Lett. 75, 4598 (1995)

    Article  ADS  Google Scholar 

  30. A. Ullah, M.D. Hoogerland, Phys. Rev. B 83, 046218 (2012)

    Article  Google Scholar 

  31. A. Ullah, S.K. Ruddell, J.A. Currivan, M.D. Hoogerland, Eur. Phys. J. D 66, 315 (2012)

    Article  ADS  Google Scholar 

  32. A. Matos-Abiague, J. Berakdar, Phys. Rev. B 69, 155304 (2004)

    Article  ADS  Google Scholar 

  33. M. Grifoni, P. Hänggi, Phys. Rep. 304, 229 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  34. N. Tzoar, J.I. Gersten, Phys. Rev. B 12, 1132 (1975)

    Article  ADS  Google Scholar 

  35. A. Altland, B.D. Simons, Condensed Matter Field Theory, 2nd edn. (Cambridge University Press, Cambridge, 2010)

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Authors and Affiliations

  1. Turin Polytechnic University in Tashkent, 17. Niyazov Str., 100095, Tashkent, Uzbekistan

    Doniyor Babajanov & Davron U. Matrasulov

  2. Institut für Theoretische Physik, Heinrich-Heine-Universität, 40225, Düsseldorf, Germany

    Reinhold Egger

Authors
  1. Doniyor Babajanov
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  2. Davron U. Matrasulov
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  3. Reinhold Egger
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Correspondence to Reinhold Egger.

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Babajanov, D., Matrasulov, D. & Egger, R. Particle transport in graphene nanoribbon driven by ultrashort pulses. Eur. Phys. J. B 87, 258 (2014). https://doi.org/10.1140/epjb/e2014-50610-6

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  • DOI: https://doi.org/10.1140/epjb/e2014-50610-6

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