Density Functional Theory of Magnetic Systems Revisited

Details Density Functional Theory of Magnetic Systems Revisited Density Functional Theory of Magnetic Systems Revisited

2000-06-13

arxiv.org/abs/cond-mat/0006200v3

Physics

Condensed Matter

Strongly Correlated Electrons

Four pages, one figure. Submitted for publication, April 13, 2000 Revised, Sept 27, 2000

Scientific paper

10.1016/S0038-1098(01)00053-9

The Hohenberg-Kohn theorem of density functional theory (DFT) for the case of electrons interacting with an external magnetic field (that couples to spin only) is examined in more detail than previously. A unexpected generalization is obtained: in certain cases (which include half metallic ferromagnets and magnetic insulators) the ground state, and hence the spin density matrix, is invariant for some non-zero range of a shift in uniform magnetic field. In such cases the ground state energy is not a functional of the spin density matrix alone. The energy gap in an insulator or a half metal is shown to be a ground state property of the N-electron system in magnetic DFT.

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