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Electronic Structure: Metals and Insulators

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Handbook of Magnetism and Magnetic Materials

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Abstract

This chapter gives an overview on the various methods used to deal with the electronic properties of magnetic solids. This covers the treatment of noncollinear magnetism, structural and spin disorder, as well as relativistic and many-body effects. An introduction to the Stoner theory for itinerant or band magnetism is followed by a number of examples with an emphasis on transition metal-based systems. The direct connection of the total electronic energy in the ground state and its magnetic configuration is considered next. This includes mapping the dependence of the energy on the spin configuration on a simplified spin Hamiltonian as provided, for example, by the Heisenberg model. Another important issue in this context is magnetic anisotropy. As it is shown, considering excitations from a suitable reference state provides a powerful tool to search for stable phases, while calculating the wave vector- and frequency-dependent susceptibility gives a sound basis to understand the dynamical properties of magnetic solids. Finally, magnetism at finite temperature is dealt with starting from a pure classical treatment of the problem and ending with schemes that deal with quantum mechanics and statistics in a coherent way.

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Acknowledgements

Financial support by the DFG through the SFB 689 and 1277 is gratefully acknowledged.

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Authors and Affiliations

  1. München, Department Chemie, Ludwig-Maximilians-Universität, München, Germany

    Hubert Ebert, Sergiy Mankovsky & Sebastian Wimmer

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  1. Hubert Ebert
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  2. Sergiy Mankovsky
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  3. Sebastian Wimmer
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Correspondence to Hubert Ebert .

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Editors and Affiliations

  1. School of Physics, Trinity College, Dublin, Ireland

    J. M. D. Coey

  2. Max Planck Institute of Microstructure Physics, Halle (Saale), Germany

    Stuart S.P. Parkin

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Ebert, H., Mankovsky, S., Wimmer, S. (2021). Electronic Structure: Metals and Insulators. In: Coey, J.M.D., Parkin, S.S. (eds) Handbook of Magnetism and Magnetic Materials. Springer, Cham. https://doi.org/10.1007/978-3-030-63210-6_4

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