Advanced Solid State Physics

(Axel Boer) #1

  • Ferromagnetic materials show spontaneous magnetization without an external field below the
    critical temperature.

  • The emerging order can only be explained quantum mechanically (Pauli principle, exchange
    interaction).

  • A mathematical basis is the Heisenberg hamiltonian. It can be solved in mean field theory. This
    is done in treating the exchange energy as an additional magnetic field resulting from the nearest
    neighbors.

  • Using a statistical approach for the occupation of the spin levels and the magnetic field ob-
    tained from the mean field calcualtion one can find a relation between the magnetization and
    temperature.

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