SubjectsSubjects(version: 845)
Course, academic year 2018/2019
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Electronic Theory of Solids - NFPL085
Title in English: Elektronová teorie pevných látek
Guaranteed by: Department of Condensed Matter Physics (32-KFKL)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: English
Teaching methods: full-time
Guarantor: doc. RNDr. Martin Diviš, CSc.
Classification: Physics > Solid State Physics
Annotation -
Last update: T_KFES (23.05.2003)
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.
Course completion requirements - Czech
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)

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).
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