1. Some basic notions of the classical and quantum statistical physics; 2. General theory of phase transitions; 3. Bose- and Fermi-statistics; 4. Phonons in crystals; 5. General Bose-systems: Bose-condensation; 6. Magnetism; 7. Electrons in metals; 8. Interacting electrons: Green functions and Feynman diagrams (methods of the field theory in many-particle physics); 9. Electrons with Coulomb interaction; 10. Fermi-liquid theory and its possible generalizations; 11. Instabilities and phase transitions in electronic systems; 12. Strongly correlated electrons; 13. Magnetic impurities in metals, Kondo effect, heavy fermions and mixed valence; References; Index.
Presents the main concepts and essential theoretical methods of the modern quantum theory of solids for graduate students and researchers.
D. I. Khomskii is a Professor in the II Physikalisches Institut, Cologne University. His main research interests are the theory of systems with strongly correlated electrons, metal-insulator transitions, magnetism, orbital ordering ('Kugel-Khomskii model') and superconductivity.