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We present the foundations of the Heisenberg theory for the exchange interaction and derive the exchange Hamiltonian. We analyze the magnon (spin-wave) spectrum in ferromagnet. We find the temperature dependence of the magnetizationMagnetization and specific heat of the spin subsystem. We consider ferromagnet–paramagnet (FM–PM) phase transition both at the mean-field level and with account of the fluctuations close to the critical point.

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Lecture 14. Spin Waves in Ferromagnets: Exchange Interaction

  • 章节

  • 发表日期：

    2026年

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  • Maxim Kagan

摘要

We present the foundations of the Heisenberg theory for the exchange interaction and derive the exchange Hamiltonian. We analyze the magnon (spin-wave) spectrum in ferromagnet. We find the temperature dependence of the magnetizationMagnetization and specific heat of the spin subsystem. We consider ferromagnet–paramagnet (FM–PM) phase transition both at the mean-field level and with account of the fluctuations close to the critical point.