Hartree–Fock approximation in the Fermi-liquid theory taking into account the spatial symmetry of crystals

The Hartree-Fock approach to the description of electrons in a solid at nonzero temperatures is generalized by taking into account the spatial symmetry of the crystal. It is shown that the inclusion of electron-electron interaction does not change the classification of electron states, which is used in the one-electron approach. The Hartree–Fock approximation at finite temperatures leads to the relations of the Fermi-liquid theory. The effective electron mass in this theory is determined both by the periodic lattice potential and by the electron-electron interaction.

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