Dr. Mihajlo Vanević
Condensed Matter Theory Group

email: tel: +381 11 7158 154 or ~169 fax: +381 11 3282 619 office: 650 or 757 address: Department of Physics, University of Belgrade
Studentski trg 12, 11158 Belgrade, Serbia
Condensed Matter Physics
Lectures:  
Exercises: 
Teaching assistant (exercises):
Teaching assistant (laboratory):
Course is given in the summer semester to the 4th year students with the major
in Theoretical and Experimental Physics. The course consists of a theory part and a laboratory work.
Theory program:
1. Introduction. Properties and classification of solids.
2. Crystal lattices. Bravais lattices and crystal structures. Reciprocal lattice. Determination of crystal structures by Xray diffraction.
3. Valence electrons. Classical Drude theory of transport in metals (electric and heat conductivity, Hall effect, Seebeck effect, plasma oscillations). Sommerfeld quantum theory of metals.
4. Electron levels in a periodic lattice potential. Bloch theorem. Electrons in a weak periodic potential. Tight binding method. Semiclassical approximation. Measuring the Fermi surface. De Haas  van Alphen effect. Landau levels. Band structure of electronic energy levels (metals, insulators, and semiconductors). Density of states. Van Hove singularities.
5. Metals. Electron  phonon interaction. Hartree  Fock approximation and correlation effects. Lindhard formula, plasmons. Landau theory of Fermi liquids. Quantum Hall effect. Mott and Anderson localization.
6. Thermal oscillations of the crystal lattice. Classical theory of the harmonic crystal. Quantum theory, phonon spectrum. Neutron, Brillouin, and Raman spectroscopy. Anharmonic effects, heat conductivity, phonon transport processes.
7. Electronphonon interaction. Relaxation time. Failures of the semiclassical approximation. Colossal magnetoresistance.
8. Dielectric properties of insulators. Theory of polarizability, optical properties. Pyroelectric and ferroelectric crystals.
9. Semiconductors. Homogeneous and doped semiconductors. Transport and optical properties. pn junctions. Heterostructures and transistors.
10. Magnetic ordering. Paramagnetism, ferromagnetism, and antiferromagnetism. Heisenberg model, magnons. Hubbard model.
11. Superconductivity. Zero resistance, critical temperature. Ideal diamagnetism, Meissner effect. Critical field, London theory, energy gap. Basics of the BCS theory. Flux quantization and the Josephson effect. High  temperature superconductors.
Laboratory work:
1. Determination of crystal structures by Xray diffraction.
2. Hall effect in Cu and Zn.
3. Hall effect in semiconductors.
4. Energy gap in semiconductors.
5. Wiedemann  Franz law.
6. Basic properties of ferromagnets (hysteresis).
7. Meissner effect and the critical temperature of superconductors.
8. Measurement of a dielectric permeability.
9. Frequency dependence of dielectric permeability.
10. Index of refraction.
11. Absorption spectra of solids.
Literature:
[1]N. W. Ashcroft & N. D. Mermin, Solid State Physics (1976)
[2]G. Grosso & G. Parravicini, Solid State Physics (2003)
[3]Some additional figures and tables