Spin orbital reorientation transitions induced by magnetic field

Dariusz Sztenkiel

doi:10.1016/j.jmmm.2023.170644

paper

Spin orbital reorientation transitions induced by magnetic field

arXiv:2202.07443 · doi:10.1016/j.jmmm.2023.170644

Abstract

Here we report on a new effect similar to the spin reorientation transition (SRT) that takes place at two magnetic fields of $B_{S O R T 1}$ and $B_{S O R T 2}$ . The effect is observed in the magnetization curves of small Mn $^{3 +}$ magnetic clusters in the wurtzite GaN (being in a paramagnetic state) calculated using crystal field model approach. The obtained results suggest that the computed magnetic anisotropy (MA) reverses its sign on increasing $B$ across $B_{S O R T}$ . Detailed analysis show however that MA is unchanged for high magnetic fields. We show that the observed effect arises from the interplay of the crystalline environment and the spin-orbit coupling $λ S^L^$ , therefore we name it spin orbital reorientation transition (SORT). The value of $B_{S O R T 1}$ depends on the crystal field model parameters and the number of ions $N$ in a given cluster, whereas $B_{S O R T 2}$ is controlled mostly by the magnitude of the spin-orbit coupling $λ$ . The explanation of SORT is given in terms of the spin $M_{S}$ and orbital momentum $M_{L}$ contributions to the total magnetization $M = M_{S} + M_{L}$ . The similar effect should also be present in other materials with not completely quenched (non zero) orbital angular momentum $L$ , a uniaxial magnetic anisotropy and the positive value of $λ$ .

8 pages, 6 figures

Spin orbital reorientation transitions induced by magnetic field

Abstract

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