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Temperature Effect on the First Excited State Energy and Average Phonon Number of Bound Magnetopolarons in Monolayer Graphene

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Abstract

Temperature effect on the first excited state energy and average phonon number of the bound magnetopolarons in monolayer graphene are studied by using the Lee-Low-Pine variational method and linear combination operators. It is shown that the average number of the optical phonons and first excited state are obviously influenced by the temperature and magnetic field. The first excited state energy of the bound magnetopolaron depends on the temperature, homogeneous magnetic field, Debye cut-off wave-number and confinement bound parameter. Moreover, we find that the temperature effect on the first excited state energy can be modulated by Coulomb interaction.

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References

  1. K.S. Novoselov, S.V. Morozov, D. Jiang, S.V. Dubonos, and I.V. Grigorieva, Science 306, 666 (2004).

    Article  Google Scholar 

  2. E.S. Morell, J.D. Correa, and P. Vargas, Phys. Rev. B 82, 121407 (2010).

    Article  Google Scholar 

  3. X. Du, I. Skachko, A. Barker, and E.Y. Andrei, Nat. Nanotechnol. 3, 491 (2008).

    Article  Google Scholar 

  4. P. Avouris, Z.H. Chen, and V. Perebeinos, Nat. Nanotechnol. 2, 605 (2007).

    Article  Google Scholar 

  5. J. Yan, Y.B. Zhang, P. Kim, and A. Pinczuk, Phys. Rev. Lett. 98, 166802 (2007).

    Article  Google Scholar 

  6. C. Lee, X.D. Wei, J.W. Kysar, and J. Hone, Science 321, 385 (2008).

    Article  Google Scholar 

  7. H.Y. Kim, K. Lee, N. Mcevoy, C. Yim, and G.S. Duesberg, Nano Lett. 13, 2182 (2013).

    Article  Google Scholar 

  8. M. Liu, X. Yim, E. Ulin-Avila, B. Geng, T. Zentgraf, L. Ju, F. Wang, and X. Zhang, Nature 474, 64 (2011).

    Article  Google Scholar 

  9. N.M. Gabor, J. Song, N.L. Nair, T. Taychatanapat, K. Watanabe, T. Taniguchi, L.S. Levitov, and P. Jarillo-Herrero, Science 334, 648 (2001).

    Article  Google Scholar 

  10. S. Gilje, S. Han, M. Wang, K.L. Wang, and R.B. Kaner, Nano Lett. 7, 3394 (2007).

    Article  Google Scholar 

  11. B. Standley, W.Z. Bao, H. Zhang, J. Bruck, C.N. Lau, and M. Bockrath, Nano Lett. 8, 3345 (2008).

    Article  Google Scholar 

  12. D. Sun, G. Aivazian, A.M. Jones, J.S. Ross, W.D. Yao, D. Cobden, and X.D. Xu, Nat. Nanotechnol. 7, 114 (2012).

    Article  Google Scholar 

  13. Y. Liu, R. Cheng, L. Liao, H.L. Zhou, J.W. Bai, G. Liu, L.X. Liu, Y. Huang, and X.F. Duan, Nat. Commun 2, 579 (2011).

    Article  Google Scholar 

  14. J.C.W. Song, M.S. Rudner, and M.C. Marcus, Nano Lett. 11, 4688 (2013).

    Article  Google Scholar 

  15. H. Xu, J.X. Wu, Y.B. Chen, and H.L. Zhang, Asian 8, 2446 (2013).

    Article  Google Scholar 

  16. Z.H. Ding, Y. Zhao, and J.L. Xiao, Superlattices Microstruct. 97, 298 (2016).

    Article  Google Scholar 

  17. A.T. Apostolov and I.N. Apostolova, Phys. Condens. Matter 24, 235401 (2012).

    Article  Google Scholar 

  18. A.C. Ferrari, Solid State Commun. 143, 47 (2007).

    Article  Google Scholar 

  19. I. Calizo, A.A. Balandin, W. Bao, and F. Miao, Nano Lett. 7, 2645 (2007).

    Article  Google Scholar 

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

    Article  Google Scholar 

  21. J.B. Oostimga, H.B. Heersche, and X. Liu, Nat. Mater. 7, 151 (2008).

    Article  Google Scholar 

  22. O.O. Sobol, P.K. Pyatkovskiy, E.V. Gorbar, and V.P. Gusynin, Phys. Rev. B 94, 115409 (2016).

    Article  Google Scholar 

  23. P. Boross and A. Palyi, Phys. Rev. B 92, 035420 (2015).

    Article  Google Scholar 

  24. Z. Gao, Y. Zhang, and Y. Fu, Carbon 61, 342 (2013).

    Article  Google Scholar 

  25. Q. Li, Y.F. Guo, and W.W. Li, Chem. Mater. 26, 4459 (2014).

    Article  Google Scholar 

  26. G.Q. Xin, H.T. Sun, and T. Hu, Adv. Mater. 26, 4521 (2014).

    Article  Google Scholar 

  27. X.J. Ma, C.H. Jia, and Z.H. Ding, Superlattices Microstruct. 123, 30 (2018).

    Article  Google Scholar 

  28. L.A. Chizhova, J. Burgdorfer, and F. Libisch, Phys. Rev. Lett. 99, 166802 (2007).

    Article  Google Scholar 

  29. S.Y. Zhou, G.H. Gweon, A.V. Fedorov, P.N. First, W.A.D. Heer, D.H. Lee, F. Guinea, A.H.C. Neto, and A. Lanzara, Nat. Mater. 6, 770 (2007).

    Article  Google Scholar 

  30. J. Jung, A.M. DaSilva, A.H. MacDonald, and S. Adam, Nat. Commun. 6, 6308 (2015).

    Article  Google Scholar 

  31. J.P. Hague, Phys. Rev. B 84, 155438 (2011).

    Article  Google Scholar 

  32. W.P. Li, Z.W. Wang, J.W. Yin, and Y.F. Yu, J. Phys. Condens. Matter 24, 135301 (2012).

    Article  Google Scholar 

  33. Z.G. Chen, Z.W. Shi, W. Yang, X.B. Lu, Y. Lai, H.G. Yan, F. Wang, G.Y. Zhang, and Z.Q. Li, Nat. Commun. 5, 4461 (2014).

    Article  Google Scholar 

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Acknowledgments

This project was supported by the National Science Foundation of China under Grant No. 11464033.

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Authors and Affiliations

  1. College of Physics and Electronic Information, Inner Mongolia University for Nationalities, Tongliao, 028043, People’s Republic of China

    Zhao-Hua Ding, Yan-Bo Gen, Cai-Hong Jia & Jing-Lin Xiao

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  1. Zhao-Hua Ding
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  2. Yan-Bo Gen
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Ding, ZH., Gen, YB., Jia, CH. et al. Temperature Effect on the First Excited State Energy and Average Phonon Number of Bound Magnetopolarons in Monolayer Graphene. J. Electron. Mater. 48, 4997–5002 (2019). https://doi.org/10.1007/s11664-019-07294-4

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  • DOI: https://doi.org/10.1007/s11664-019-07294-4

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