• Dielectric constant of graphene-on-polarized substrate: A tight-binding model study

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    • Keywords


      Graphene; optical properties of graphene; dielectric constant

    • Abstract


      We report here a microscopic tight-binding theoretical study of the dynamic dielectric response of graphene-on-polarizable substrate with impurity. The Hamiltonian consists of first, second and third nearest neighbour electron hopping interactions besides doping and substrate-induced effects on graphene. We have introduced electron–electron correlation effect at A and B sublattices of graphene which is considered within Hartree–Fock mean-field approximation. The electron occupancies at both sublattices are calculated and solvedself-consistently and numerically for both up- and down-spin orientations. The polarization function appearing in the dielectric function is a two-particle Green’s function which is calculated by using Zubarev’s Green’s function technique. The temperature and optical frequency-dependent dielectric function is evaluated and compared with experimental data by varying Coulomb correlation energy, substrate-induced gap and impurity concentrations.

    • Author Affiliations



      1. School of Applied Sciences (Physics), Campus-3, KIIT University, Bhubaneswar 751 024, India
      2. Condensed Matter Physics Group, Physics Enclave, Plot No. 664/4825, Lane-4A, Shree Vihar, Chandrasekharpur, Po-Patia, Bhubaneswar 751 031, India
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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