Density-matrix-functional calculations for matter in strong magnetic fields: Ground states of heavy atoms

Kristinn Johnsen, Jakob Yngvason

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    Abstract

    We report on a numerical study of the density matrix functional introduced by Lieb, Solovej, and Yngvason for the investigation of heavy atoms in high magnetic fields. This functional describes exactly the quantum mechanical ground state of atoms and ions in the limit when the nuclear charge Z and the electron number N tend to infinity with N/Z fixed, and the magnetic field B tends to infinity in such a way that B/Z4/3→∞. We have calculated electronic density profiles and ground-state energies for values of the parameters that prevail on neutron star surfaces and compared them with results obtained by other methods. For iron at B=1012 G the ground-state energy differs by less than 2% from the Hartree-Fock value. We have also studied the maximal negative ionization of heavy atoms in this model at various field strengths. In contrast to Thomas-Fermi type theories atoms can bind excess negative charge in the density matrix model. For iron at B=1012 G the maximal excess charge in this model corresponds to about one electron. © 1996 The American Physical Society.
    Original languageEnglish
    JournalPhysical Review A
    Volume54
    Issue number3
    Pages (from-to)1936-1946
    ISSN2469-9926
    DOIs
    Publication statusPublished - 1996

    Bibliographical note

    Copyright (1996) American Physical Society.

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