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On the theory describing graphene in an anomalous-dispersion region

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Abstract

A possible method for describing graphene in an anomalous-dispersion region is proposed. Taking electron-electron interaction in graphene into account leads to distortion of the linear character of the dispersion law. The distorted dispersion law can be approximated by the fractional-power law, which leads to Riesz fractional derivatives in the equation for Green’s functions. The presence of impurity atoms in graphene leads to the same distortion.

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Authors and Affiliations

  1. Prokhorov General Physics Institute, Russian Academy of Sciences, Moscow, Russia

    Z. Z. Alisultanov

  2. Institute of Geothermal Problems, Dagestan Scientific Center, Russian Academy of Sciences, Makhachkala, Russia

    R. P. Meilanov

Authors
  1. Z. Z. Alisultanov
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  2. R. P. Meilanov
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Correspondence to Z. Z. Alisultanov.

Additional information

Original Russian Text © Z.Z. Alisultanov, R.P. Meilanov, 2013, published in Poverkhnost’. Rentgenovskie, Sinkhrotronnye i Neitronnye Issledovaniya, 2013, No. 1, pp. 50–54.

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Alisultanov, Z.Z., Meilanov, R.P. On the theory describing graphene in an anomalous-dispersion region. J. Surf. Investig. 7, 46–50 (2013). https://doi.org/10.1134/S1027451013010035

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  • DOI: https://doi.org/10.1134/S1027451013010035

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