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Thermal smearing and screening in a strong magnetic field for Dirac materials in comparison with the two dimensional electron liquid

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Abstract

We compute and compare the effects due to a uniform perpendicular magnetic field as well as temperature on the static polarization functions for monolayer graphene (MLG), associated with the Dirac point, with that for the two-dimensional electron liquid (2DEL) with the use of comprehensive numerical calculations. The relevance of our study to the Friedel oscillations for the screening of the potential for a dilute distribution of impurities is reported too. Our results show substantial differences due to screening for the 2DEL and MLG which have not been given adequate attention previously.

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References

  1. T. Ferrus, R. George, C.H.W. Barnes, M. Pepper, Appl. Phys. Lett. 97, 142108 (2010)

    Article  ADS  Google Scholar 

  2. A. Luican-Mayer, M. Kharitonov, G. Li, C.-P. Lu, I. Skachko, A.-M.B. Goncalves, K. Watanabe, T. Taniguchi, E.Y. Andrei, Phys. Rev. Lett. 112, 036804 (2014)

    Article  ADS  Google Scholar 

  3. T.A. Sedrakyan, E.G. Mishchenko, M.E. Raikh, Phys. Rev. Lett. 99, 036401 (2007)

    Article  ADS  Google Scholar 

  4. M.L. Glasser, Phys. Rev. B 28, 4387 (1983)

    Article  ADS  Google Scholar 

  5. I.L. Aleiner, L.I. Glazman, Phys. Rev. B 52, 11296 (1995)

    Article  ADS  Google Scholar 

  6. P.F. Maldague, Surf. Sci. 73, 296 (1978)

    Article  ADS  Google Scholar 

  7. R. Roldan, J.-N. Fuchs, M.O. Goerbig, Phys. Rev. B 80, 085408 (2009)

    Article  ADS  Google Scholar 

  8. R. Roldan, M.O. Goerbig, J.-N. Fuchs, Semicond. Sci. Technol. 25, 034005 (2010)

    Article  ADS  Google Scholar 

  9. O.L. Berman, G. Gumbs, Y.E. Lozovik, Phys. Rev. B 78, 085401 (2008)

    Article  ADS  Google Scholar 

  10. S. Piscanec, M. Lazzeri, F. Mauri, A.C. Ferrari, J. Robertson, Phys. Rev. Lett. 93, 185503 (2004)

    Article  ADS  Google Scholar 

  11. D.L. Mafra, L.M. Malard, S.K. Doorn, Han Htoon, J. Nilsson, A.H. Castro Neto, M.A. Pimenta, Phys. Rev. B 80, 241414(R) (2009)

    Article  ADS  Google Scholar 

  12. E.H. Hwang, S. Das Sarma, Phys. Rev. B 75, 205418 (2007)

    Article  ADS  Google Scholar 

  13. E.H. Hwang, S. Das Sarma, Phys. Rev. Lett. 101, 156802 (2008)

    Article  ADS  Google Scholar 

  14. S. Das Sarma, Q. Li, Phys. Rev. B 87, 235418 (2013)

    Article  ADS  Google Scholar 

  15. T. Ando, J. Phys. Soc. Jpn 75, 074716 (2006)

    Article  ADS  Google Scholar 

  16. B. Yan, L. Kong, J. Lv, X. Hu, Plasma Sci. Technol. 11, 5 (2009)

    Article  Google Scholar 

  17. P.K. Pyatkovskiy, V.P. Gusynin, Phys. Rev. B 83, 075422 (2011)

    Article  ADS  Google Scholar 

  18. M. van Schilfgaarde, M.I. Katsnelson, Phys. Rev. B 83, 081409(R) (2011)

    Article  ADS  Google Scholar 

  19. G. Giuliani, G. Vignale, in Quantum Theory of the Electron Liquid (Cambridge University Press, 2008), p. 580

  20. P.B. Visscher, L.M. Falicov, Phys. Rev. B 3, 2541 (1971)

    Article  ADS  Google Scholar 

  21. F. Stern, Phys. Rev. Lett. 18, 546 (1967)

    Article  ADS  Google Scholar 

  22. B. Wunsch, T. Stauber, F. Sols, F. Guinea, New J. Phys. 8, 318 (2006)

    Article  ADS  Google Scholar 

  23. E.H. Hwang, S. Das Sarma, Phys. Rev. B 79, 165404 (2009)

    Article  ADS  Google Scholar 

  24. T. Chakraborty, Phys. Rev. B 41, 5396 (1990)

    Article  ADS  Google Scholar 

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Correspondence to Antonios Balassis.

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Gumbs, G., Balassis, A., Dahal, D. et al. Thermal smearing and screening in a strong magnetic field for Dirac materials in comparison with the two dimensional electron liquid. Eur. Phys. J. B 89, 234 (2016). https://doi.org/10.1140/epjb/e2016-70452-4

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  • DOI: https://doi.org/10.1140/epjb/e2016-70452-4

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