Magnetocrystalline Anisotropy Energy of a Transition Metal Monolayer: A Non-perturbative Theory

Details Magnetocrystalline Anisotropy Energy of a Transition Metal Monolayer: A Non-perturbative Theory Magnetocrystalline Anisotropy Energy of a Transition Metal Monolayer: A Non-perturbative Theory

1995-02-27

arxiv.org/abs/cond-mat/9502112v1

Physics

Condensed Matter

11 pages (RevTeX) with 2 figures, appended as Postscript files

Scientific paper

10.1016/0038-1098(95)00808-X

The magnetocrystalline anisotropy energy $E_{anis}$ for a monolayer of Fe and Ni is determined using a fully convergent tight-binding calculation including $s$-$d$ hybridization. The spin-orbit interaction $\lambda_{so}$ is treated non-perturbatively. Remarkably, we find $E_{anis}\propto\lambda_{so}^2$ and important contributions to $E_{anis}$ due to the lifting of degeneracies near the Fermi-level. This is supported by the calculated decrease of the anisotropy energy with increasing temperature on a scale of several hundred K. Our results clarify the present debate on the origin of $E_{anis}$.

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