COURSES

Condensed Matter Theory

10

ECTS Credits

Lecturers
  • prof. dr. Viktor Kabanov
Programmes
  • None

Goals

The goal of this course is to give an overview of the major directions of research and the latest achievements in the field of theory of nanomaterials.

Curriculum

1. Introduction. 2. Elements of group theory. Irreducible representations. 3. Lattice vibrations in crystalline solids. Mode classifications. 4. Electrons in crystals. Tight-binding and weak coupling approximations. 5. Density-Functional-Theory: a practical first-principle method for the calculation of electronic structure. 6. Classification of solids: covalent, molecular, ionic, H-bonded crystals and metals. 7. Localized electrons in solids. Excitons. Polarons. 8. Thermodynamic properties of solids. 9. Magnetic properties. Pauli paramagnetism, Landau diamagnetism. Quantum effects. 10. Optical properties of solids. Dielectric function. 11. Kinetic properties of metals and semiconductors. Kinetic equation. 12. Scattering processes. Impurity scattering, scattering by phonons. 13. Kinetic processes in magnetic field. Hall effect, magnetoresistance. 14. Theory of phase transition. Ising model, Landau theory of phase transition. Kinetics of phase transitions. 15. Superconductivity. Cooper pairs. Ginzburg- Landau theory. Critical current and critical field. Quantum effects. 16. From 3D to lower dimensions: surfaces, molecules, and heterogeneous catalysis.

Obligations

Completed first-cycle studies in natural sciences or engineering or completed first-cycle studies in other fields with knowledge of fundamentals in the field of this course.

Examination

Literature and references

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