COURSE GOALS:
- to provide an understanding of complex issues and concepts of solid state physics,
- to give an introduction to quantum mechanics of large multi particle systems,
- to demonstrate how solid state physics explains the basic properties of matter: optical, transport, magnetic, thermodynamic, etc.
- and to get acquainted with the latest scientific and technological achievements in solid state physics.
LEARNING OUTCOMES AT THE LEVEL OF THE PROGRAMME:
1 KNOWLEDGE AND UNDERSTANDING
1.2 demonstrate a thorough knowledge of advanced methods of theoretical physics including classical mechanics, classical electrodynamics, statistical physics and quantum physics
1.3 demonstrate a thorough knowledge of the most important physics theories (logical and mathematical structure, experimental support, described physical phenomena)
1.4 describe the state of the art in - at least- one of the presently active physics specialities
2 APPLYING KNOWLEDGE AND UNDERSTANDING
2.1 identify the essentials of a process/situation and set up a working model of the same or recognize and use the existing models
2.3 apply standard methods of mathematical physics, in particular mathematical analysis and linear algebra and corresponding numerical methods
2.4 adapt available models to new experimental data
4 COMMUNICATION SKILLS
4.2 present one's own research or literature search results to professional as well as to lay audiences
4.3 develop the written and oral English language communication skills that are essential for pursuing a career in physics
5 LEARNING SKILLS
5.1 search for and use physical and other technical literature, as well as any other sources of information relevant to research work and technical project development (good knowledge of technical English is required)
5.2 remain informed of new developments and methods and provide professional advice on their possible range and applications
5.4 participate in projects which require advanced skills in modeling, analysis, numerical calculations and use of technologies
LEARNING OUTCOMES SPECIFIC FOR THE COURSE:
- demonstrate knowledge of basic concepts of the theory of phase transitions
- demonstrate knowledge of optical properties of non-metals Clausius-Mossotti relation, Thomas-Reiche-Kuhn sum rule, Lyddane-Sachs-Teller relation and dielectric function
- demonstrate knowledge of optical properties and screening effects in metals, including Linhard response function, random phase approximation, plasmon excitations
- get acquainted with the formalism of second quantization and quantum-mechanical approach to multi particle systems, including Hartree and Hartree-Fock approximations, jellium model and the Wigner lattice
- get acquainted with electron-phonon interaction and ideas that phonon excitation can mediate an attractive electron-electron interaction
- demonstrate knowledge of concepts of theory of transport properties in materials, including charge and heat transfe, Seebeck effect, Peltier effect, classical and quantum Hall effect, localization effects and metal-insulator transition
- demonstrate knowledge of the magnetic properties of materials including Hund rules, atomic/molecular diamagnetism, paramagnetism and magnetic properties of metals, the emergence and properties of long-range magnetic order
- demonstrate knowledge of the phenomenon of superconductivity including relevant theoretical approaches (BCS, Ginzburg-Landau theory)
COURSE DESCRIPTION:
1st week - Phase transitions
2nd to 4th week - Linear response to disturbance, the optical properties of insulators, ferroelectricity, screening effects in metals, Lindhard response function
5th to 7th week - Electronic systems with long range Coulomb interaction: Hartree-Fock approximation, RPA approximation, Wigner lattice
8th to 9th week - The electron-phonon interaction, Kohn anomaly, Peierls instability, an effective electron-electron interaction mediated by phonons
10th to 12th week - Transport properties: basics, Boltzmann transport equation, electrical and thermal conductivity, Hall effect, quantum Hall effect
13th to 14th week - Magnetism
15th week - Superconductivity
REQUIREMENTS FOR STUDENTS:
Students must attend to the lectures 70% minimum.
GRADING AND ASSESSING THE WORK OF STUDENTS:
Students obtain the final grade based on the success achieved in the written part of the exam and the knowledge and understanding shown in the oral examination. The weight fraction in the overall assessment is 1/3 for written part and 2/3 for oral part.
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