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      https://www.ias.ac.in/article/fulltext/pram/034/02/0133-0149

    • Keywords

       

      Electron crystal; Wigner lattice; Wannier function; localized representation; Gaussians

    • Abstract

       

      The character of the ground state of the electron crystal—an electron gas with periodic density and/or spin density is investigated. Calculations for non-magnetic, ferromagnetic and anti-ferromagnetic electron crystals based on the Koster-Kohn variational principle for direct calculation of Wannier functions are presented. The Wannier function is approximated by a symmetrically orthonormalized Gaussian. The orbital exponent of the Gaussian is used as a variational parameter. The effect of the positive background is suitably taken into account. The results of our calculation support Wigner’s prediction of electron crystallization.

    • Author Affiliations

       

      K Iyakutti1 Jean Louis Calais1 2

      1. School of Physics, Madurai Kamaraj University, Madurai - 625 021, India
      2. Department of Quantum Chemistry, University of Uppsala, Box 518 S 751 20, Uppsala, Sweden
    • Dates

       
  • Pramana – Journal of Physics | News

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