Electron crystallization using localized representation |
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Authors: | K Iyakutti Jean Louis Calais |
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Affiliation: | (1) School of Physics, Madurai Kamaraj University, 625 021 Madurai, India;(2) Department of Quantum Chemistry, University of Uppsala, Box 518 S 751 20, Uppsala, Sweden |
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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. |
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Keywords: | Electron crystal Wigner lattice Wannier function localized representation Gaussians |
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