Theoretical and Mathematical Physics

, Volume 201, Issue 1, pp 1531–1540 | Cite as

Effect of Phonons on the Magnetic Characteristics of Metals at Finite Temperatures

  • N. B. MelnikovEmail author
  • G. V. ParadezhenkoEmail author
  • B. I. ReserEmail author


We consider the electron-phonon interaction in the framework of dynamic spin-fluctuation theory and obtain an expression for the self-energy part that depends explicitly on the spin fluctuations and lattice vibrations. We illustrate the theoretical results with the example of iron. We show that the effect of phonons on temperature dependence of the magnetic characteristics of metals is appreciable but not as large as in the static single-site approximation of the spin-fluctuation theory and spin dynamics using classical Hamiltonians.


spin fluctuation phonon magnetization magnetic susceptibility local magnetic moment temperature dependence ferromagnetic metal 


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The authors are grateful to the referee for the useful comments.

Conflicts of interest. The authors declare no conflicts of interest.


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© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Lomonosov Moscow State UniversityMoscowRussia
  2. 2.Mikheev Institute of Metal PhysicsUral Branch of Russian Academy of SciencesEkaterinburgRussia

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