Noncollinear Magnetism in Density Functional Calculations

Abstract

We generalize the treatment of the electronic spin degrees of freedom in density functional calculations to the case where the spin vector variables employed in the definition of the energy functional can vary in any direction in space. The expression for the generalized exchange-correlation potential matrix elements is derived for general functionals which among their ingredients include the electron density, its gradient and Laplacian, the kinetic energy density, and non-local Hartree-Fock type exchange. We present calculations on planar Cr clusters that exhibit ground states with noncollinear spin densities due to geometrically frustrated antiferromagnetic interactions.

9 pages, 5 figures, 1 table

References in corpus (4)

• Climbing the Density Functional Ladder: Non-Empirical Meta-Generalized Gradient Approximation Designed for Molecules and Solids
• Spin chirality on a two-dimensional frustrated lattice
• Spin currents and spin dynamics in time-dependent density-functional theory
• Noncollinear magnetic ordering in small Chromium Clusters

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