Spin orbital reorientation transitions induced by magnetic field
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866910288590143488 |
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| author | Sztenkiel, Dariusz |
| author_facet | Sztenkiel, Dariusz |
| contents | Here we report on a new effect similar to the spin reorientation transition (SRT) that takes place at two magnetic fields of $B_{SORT1}$ and $B_{SORT2}$. 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 $B_{SORT}$. 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 $λ\hat{\textbf{S}} \hat{\textbf{L}}$, therefore we name it spin orbital reorientation transition (SORT). The value of $B_{SORT1}$ depends on the crystal field model parameters and the number of ions $N$ in a given cluster, whereas $B_{SORT2}$ 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 $λ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_07443 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Spin orbital reorientation transitions induced by magnetic field Sztenkiel, Dariusz Materials Science Here we report on a new effect similar to the spin reorientation transition (SRT) that takes place at two magnetic fields of $B_{SORT1}$ and $B_{SORT2}$. 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 $B_{SORT}$. 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 $λ\hat{\textbf{S}} \hat{\textbf{L}}$, therefore we name it spin orbital reorientation transition (SORT). The value of $B_{SORT1}$ depends on the crystal field model parameters and the number of ions $N$ in a given cluster, whereas $B_{SORT2}$ 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 $λ$. |
| title | Spin orbital reorientation transitions induced by magnetic field |
| topic | Materials Science |
| url | https://arxiv.org/abs/2202.07443 |