Mihajlo Vanevic photo

Dr. Mihajlo Vanević

Condensed Matter Theory Group

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Condensed Matter Physics

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 X-ray 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. Electron-phonon 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. p-n 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 X-ray 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.


[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