Individual course details
Study programme			Theoretical and experimental physics
Chosen research area (module)
Nature and level of studies			Basic academic studies
Name of the course			Condensed matter theory
Professor (lectures)			Full Professor Zoran Radović / Doc. dr Mihajlo Vanević
Professor/associate (examples/practical)
Professor/associate (additional)
ECTS		7	Status (required/elective)	elective
Access requirements	Statistical Physics 1 and 2, Quantum Mechanics 1, Electrodynamics 1 and 2
Aims of the course	Introduction to Contemporary Physics of Condensed matter
Learning outcomes	Knowledge of basic models and methods
Contents of the course
Lectures	1. Introduction. Physical properties and classification of solids. 2. Crystal lattices. Classification of Bravais lattices and general structure of crystals. Reciprocal lattices. Determination of the crystal structure by X-ray diffraction. 3. Valence electrons. The classic Drude theory of transport in metals (electrical conductivity, heat conductivity, Hall effect, Seebeck effect, plasma oscillations). The Sommerfeld quantum theory of metals. 4. Electronic states in the periodic potential of ionic lattice. Bloch's theorem. Approximation of weak and strong potentials. Semiclassical model of electron dynamics. Determination of the Fermi surfaces, de Haas-van Alphen effect, Landau levels. Band structure of the electron energy and explanation of the difference between metals, insulators, and semiconductor. Density of states, van Hove's singularities. 5. Metals. Electron-electron Coulomb interaction, Hartree-Fock approximation and correlation effects. Lindhard's formula, plasmons. Landau theory of the Fermi fluid. Quantum Hall effect. Beyond the Bloch theory: Mott's and Anderson's localization. 6. Thermal motion of crystal lattices. Classical theory of the harmonic crystal. Quantum theory – phonon spectra. Neutron, Brillouin and Raman spectroscopy. Anharmonic effects, lattice heat conductivity. 7. Electron-phonon interaction. Nature of the relaxation time. Beyond 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. Heat, transport, and optical properties. p-n junctions, heterostructures and transistors. 10. Magnetism: Paramagnetic, ferromagnetic, and antiferromagnetic states. Heisenberg's model and magnons. Hubbard's model of ferromagnetism in metals. 11. Superconductivity: Critical temperature, zero resistance, Meissner's effect, and critical fields. Gap in the electron energy spectrum and elements of the BCS theory. Flux quantization and the Josephson effect. High-temperature superconductors.
Examples/ practical classes	Problems solving classes. Experimental exercises: 1. Determination of the parameters of the crystal unit cell based on X-ray diffraction. 2. Hall effect in metals      - normal Hall effect (copper)      - anomalous Hall effect (zinc) 3. Verification of the Wiedemanm-Franz law      - measurement of thermal conductivity      - measurement of electrical conductivity 4. Determination of the basic characteristics of ferromagnets (hysteresis). 5. Determination of the basic characteristics of superconducting materials (critical temperature, Meissner's effect)
Recommended books
1	N.W. Ashcroft & N.D. Mermin, Solid State Physics (Harcourt Brace College Publishers, 1976).
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3
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5
Number of classes (weekly)
Lectures	Examples&practicals		Student project	Additional
4	2+1
Teaching and learning methods	Lectures, problems solving classes, homework, experimental exercises, colloquium.
Assessment (maximal 100)
assesed coursework		mark	examination	mark
coursework		10	written examination	40
practicals		10	oral examination	40
papers
presentations