Electromagnetism of REM. Quantum Theory

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: 20.11.2017. Download: PDF

Magnetoelectric effects in rare-earth metals (REM) are ‘giant’ due to large spin ($\textbf{S}_{\textbf{r}}$), orbital ($\textbf{L}_{\textbf{r}}$), and angle ($\textbf{J}_{\textbf{r}}$) moments of rare-earth ions (REI) in sites $\textbf{r}$. Unitary description of them is possible within the many-electron operator spinors’ (MEOS) representation. The interaction of band (current) fermions (BF) with chemical-bonds’ fluctuations (CBF) prevails in processes of BF relaxation and creates anisotropy of both BF spectra and Fermi surfaces. The Green functions for CBF (as the MEOS Fourier images) calculated by the secondary quantization lead to final expressions for relaxation time $\tau_k(T, \textbf{J})$ and effective mass $m^*(T, \textbf{J})$ of BF at temperature $T$. Linear dependences of electrical resistance $R_{jj}(T)$ and anomalous Hall effect $R_{ij}(T)$ on temperature $T$ and their quadratic dependences on the mean REI-spin $S_t(T)$ interpret experiments for REM. The criticism of semi-classical and one-electron magnetoelectric effects’ models is given.

Key words: theory of magnetoelectric effects in rare-earth metals (REM), chemical-bonds’ fluctuations (CBF) and current (band) fermions’ scattering by them, anisotropy of BF relaxation and effective mass.

URL: http://mfint.imp.kiev.ua/en/abstract/v40/i06/0713.html

DOI: https://doi.org/10.15407/mfint.40.06.0713

PACS: 71.10.Fd, 71.20.Eh, 72.10.Bg, 72.15.Eb, 75.10.-b, 75.30.Mb, 75.85.+t

Citation: O. I. Mitsek and V. M. Pushkar, Electromagnetism of REM. Quantum Theory, Metallofiz. Noveishie Tekhnol., 40, No. 6: 713—728 (2018) (in Russian)

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