Asymptotic formulas for magnetization and chemical potential of ferromagnetic metals at low temperatures
- Authors: Melnikov N.B.1, Reser B.I.2
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Affiliations:
- M. V. Lomonosov Moscow State University
- M. N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences
- Issue: Vol 235 (2024)
- Pages: 78-86
- Section: Статьи
- URL: https://journal-vniispk.ru/2782-4438/article/view/269728
- DOI: https://doi.org/10.36535/2782-4438-2024-235-78-86
- ID: 269728
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Abstract
Explicit expressions for the coefficients in the T2-law for the magnetic moment and chemical potential in Stoner’s theory are obtained in the case of an arbitrary electron density of states. A generalization of Stoner’s ferromagnetism criterion is given in terms of spin-polarized electron densities of states. The proof is based on the asymptotic expansion of the integral with the Fermi function, which was previously used for free electrons.
About the authors
Nikolai B. Melnikov
M. V. Lomonosov Moscow State University
Author for correspondence.
Email: melnikov@cs.msu.ru
Faculty of Computational Mathematics and Cybernetics
Russian Federation, MoscowBoris I. Reser
M. N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences
Email: reser@imp.uran.ru
Department of Theoretical and Mathematical Physics
Russian Federation, YekaterinburgReferences
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