Effects of ‘Orbital Glass’. 5. Spin–Orbit Coupling in Metals

O. I. Mitsek, V. M. Pushkar

G. V. Kurdyumov Institute for Metal Physics, NAS of Ukraine, 36 Academician Vernadsky Blvd., UA-03142 Kyiv, Ukraine

Received: 30.05.2024; final version - 06.06.2024. Download: PDF

Spin–orbit coupling in groups of (3$d$, 4$f$, 5$f$) ions by means of the segregation of their orbital moments $\textbf{L}_{\textbf{r}}$ creates new substance—orbital glass. In many-electron operator-spinors’ representation, spin–orbit coupling in sea of band fermions ($f_{\textbf{r}}$ or $h_{\textbf{r}}$) is expressed by their density ($n_{e}$ of electrons or $n_{h}$ of holes). The orbital-glass influence on bond spectra $\varepsilon_{\textbf{k}}(e, h)$ is expressed by segregation-excitation energies. Fractional spin ($\textbf{S}$) and orbital ($\textbf{L}$) moments of 3$d$-elements are determined by spin–orbit coupling. Light 4$f$-elements have orbital moment $L$ < 0 due to electron charges $e_{\textbf{r}}$ < 0, but heavy elements have orbital moment $L$ > 0 due to hole charges $h_{\textbf{r}}$ > 0.

Key words: spin–orbit coupling, orbital glass.

URL: https://mfint.imp.kiev.ua/en/abstract/v46/i07/0615.html

DOI: https://doi.org/10.15407/mfint.46.07.0615

PACS: 71.10.Fd, 71.70.Ej, 75.10.Dg, 75.30.Et, 75.50.Lk, 75.60.Ch, 75.70.Tj

Citation: O. I. Mitsek and V. M. Pushkar, Effects of ‘Orbital Glass’. 5. Spin–Orbit Coupling in Metals, Metallofiz. Noveishie Tekhnol., 46, No. 7: 615—620 (2024) (in Ukrainian)


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