Atomic structure and chemical bond. Basic properties of electronic structure of condensed matter. Band structure of materials and methods of its calculation. Admixtures, perturbations and alloys. Electron-electron and electron-phonon interaction. Itinerant magnetism. Electron transport. Optical transitions.
Last update: Mgr. Kateřina Mikšová (13.05.2019)
Atomová struktura a chemická vazba. Základní vlastnosti elektronové
struktury krystalů. Pásová struktura materiálů a metody jejího výpočtu.
Příměsi, poruchy, slitiny. Elektron - elektronová a elektron - fononová
interakce. Itenerantní magnetismus. Elektronový transport. Optické
přechody. Pro PGDS.
Course completion requirements -
Last update: Mgr. Kateřina Mikšová (12.05.2022)
Request to finish the course is the successfull passing of oral examination.
Last update: doc. RNDr. Martin Diviš, CSc. (06.10.2017)
Podmínkou zakončení předmětu je ústní zkouška.
Požadavky absolvování ústní zkoušky odpovídají rozsahu sylabu prezentovaném
na přednášce.
Literature -
Last update: doc. RNDr. Martin Diviš, CSc. (13.05.2019)
1. N. W. Ashcroft, N.D. Mermin: Solid State Physics
2. Ch. Kittel: Introduction to Solid State Physics (5ThEdition)
Last update: T_KFES (23.05.2003)
1. N. W. Ashcroft, N.D. Mermin: Solid State Physics
2. Ch. Kittel: Introduction to Solid State Physics (5ThEdition)
Syllabus -
Last update: T_KFES (23.05.2003)
FPL085
Short and long range order. Crystal structure: transitional and point group symmetry, space groups. Amorphous solids and glasses. Defects. Bloch theorem. Bloch functions. Reciprocal space. Brillouin zone. Electron gas in solids. Results of Drude-Lorentz theory. Reduced, extended, periodic scheme. k-p method. Effective mass approximation (Quasiparticles). Wannier theorem. Wannier functions. Density of states & resolvent (Green function). Kronig-Penney model. Nearly free electron approach (NFE). Linear Combination of Atomic Orbitals (LCAO) approach, minimal basis, Harrison scheme. Density Functional Theory (DFT) versus Hartree-Fock approximation (HF). Methods: Linear Augmented Plane Wave (LAPW), optimized LCAO and local orbitals (FPLO), pseudopotentials. Chemical bond. Metals, semimetals, direct- and indirect-gap semiconductors, insulators. Special groups of solids - chemical trends: transition metals (hybridized d- and conduction states), tetrahedral semiconductors (hybridization gap, effects due to ionicity)
.Green functions. Point defects: shallow impurities, Anderson and Koster-Slater model for deep levels. Mixed crystals: Virtual Crystal Approximation (VCA) versus split band case, Coherent Potential Approximation (CPA). Spectral density. Shortcomings of the independent-electron approximation. Pair distribution function. Unrestricted SCF approximation, Correlations in DFT (LDA). Extensions of LDA: GGA, SIC, GW. Hubbard model (LDA+U). Models for localized moments: Weiss molecular field model, Heisenberg and Izing model, Crystal field theory. Models for delocalized moments: Stoner model of itinerant electron magnetism. Landau theory of weakly itinerant electron ferromagnetism, the linearized spin-fluctuation model, comparison. Linear response. Kubo formula. Electrical conductivity. Optical transition&Optical constants. Kramers-Kronig relations. Photoemission (XPES, BIS).
