Pure-state $N$-representability in current-spin-density-functional theory

Abstract

This paper is concerned with the pure-state $N$-representability problem for systems under a magnetic field. Necessary and sufficient conditions are given for a spin-density $2\times 2$ matrix $R$ to be representable by a Slater determinant. We also provide sufficient conditions on the paramagnetic current $j$ for the pair $(R,j)$ to be Slater-representable in the case where the number of electrons $N$ is greater than 12. The case $N<12$ is left open.

References in corpus (3)

• Current Densities in Density Functional Theory
• Fermion $N$-representability for prescribed density and paramagnetic current density
• $N$-representability in non-collinear spin-polarized density functional theory

Cited by in corpus (1)

• Mixed state representability of entropy-density pairs