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Emergence of F(R) gravity-analogue due to defects in graphene

Author

Listed:
  • Alireza Sepehri

    (Faculty of Physics, Shahid Bahonar University
    Research Institute for Astronomy and Astrophysics of Maragha (RIAAM))

  • Richard Pincak

    (Institute of Experimental Physics, Slovak Academy of Sciences
    Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research)

  • Ahmed Farag Ali

    (Netherlands Institute for Advanced Study
    Faculty of Science, Benha University)

Abstract

We show that the defects of graphene, which lead to the non-equality between positive curvature of fermions with anti-parallel spins and negative curvature of fermions with parallel spins, imply an emergence of F(R) gravity. By increasing the number of atoms at each defect, the order of scalar curvature increases and the shape of F(R) gravity changes. This gravity has a direct relation with energy-momentum tensor and leads to motion of electrons in a special path and hence producing superconductivity. Also, for some special angles, parallel spins become close to each other and repel to each other. In that condition, the shape of F(R) gravity changes and electrons can’t continue to move in an initial path and return. Consequently, superconductivity disappears and one new conductivity appears in opposite direction.

Suggested Citation

  • Alireza Sepehri & Richard Pincak & Ahmed Farag Ali, 2016. "Emergence of F(R) gravity-analogue due to defects in graphene," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(11), pages 1-16, November.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:11:d:10.1140_epjb_e2016-70428-4
    DOI: 10.1140/epjb/e2016-70428-4
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    Keywords

    Mesoscopic and Nanoscale Systems;

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