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Course, academic year 2018/2019
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Condensed Matter Theory - NFPL132
Title in English: Teorie kondenzovaných látek
Guaranteed by: Department of Physics of Materials (32-KFM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2005
Semester: winter
E-Credits: 6
Hours per week, examination: winter s.:3/1 C+Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Guarantor: prof. RNDr. Vladimír Šíma, CSc.
doc. RNDr. Martin Diviš, CSc.
Annotation -
Last update: T_KFK (13.03.2003)

Quantum model of a crystal. Physical properties of the lattice. Band model of solids. Effect of external fields. Optical and transport properties.
Course completion requirements - Czech
Last update: T_KFK (13.03.2003)

Podminkou zakončení předmětu je zápočet a ústní zkouška.

Podmínkou udělení zápočtu je aktivní účast na cvičeních.

Požadavky absolvování ústní zkoušky odpovídají rozsahu sylabu prezentovaném

na přednášce.

Literature - Czech
Last update: T_KFK (13.03.2003)

1. N. W. Ashcroft, N.D. Mermin: Solid State Physics

2. Ch. Kittel: Introduction to Solid State Physics (5th Edition)

Teaching methods - Czech
Last update: T_KFK (13.03.2003)

přednáška + cvičení

Syllabus -
Last update: T_KFK (13.03.2003)

1. Crystal structure 2. Long-range and short-range order. Crystal structure: translational and point groups of symmetry, space groups. Amorphous solids, glasses. Defects. 3. Quantum description of an ideal crystal 4. Hamiltonian for a motion of electrons and nuclei. Born-Oppenheimer approximation. 5. Basic features of electronic structure 6. Bloch theorem, Bloch functions. Reciprocal space. Brillouin zone. Electron gas in condensed state. Results of Drude-Lorent theory. Reduced, extended and periodic scheme of electron structure. k-p method. Effective mass approximation (quasiparticles). Wannier functions. Density of states, Green's function. 7. Electron states in crystals 8. Kronig-Penney model. Nearly free electron approximation. Linear combination of atomic orbitals (LCAO), minimal base, Harrison method of tight binding. 9. Electron structure calculation methods 10. Density functional theory (DFT) versus Hartree-Fock (HF) approximation. Methods: Linear augmented plane waves (LAPW), optimized LCAO, pseudopotentials. 11. Typical examples of band structures 12. Chemical bonding. Metals, semi-metals, semiconductors with direct and indirect electron gap, insulators. Special groups of solids - chemical trends: transitive metals (d- and conduction electron hybridization), cubic semiconductors (hybridization gap, ionic behavior effects). 13. Phonons in condensed state 14. Lattice vibrations. Occupational numbers representation. Relation phonons- thermal capacity and phonons-thermal conductivity. Electron-phonon interaction and its consequences. Phonons in BCS-theory of super-conductivity. 15. Electronic structure of real solids (with defects) 16. Green functions. Point defects. Mixed crystals: virtual crystal approximation (VCA), coherent potential approximation (CPA). Spectral density. 17. Electron correlation 18. Failures of one-electron approximation. Pair distribution function. Correlation in frame of DTF (local density approximation (LDA)). Extending of LDA: generalized gradient approximation (GGA), self-interaction correction (SIC). Hubbard model (LDA+U). 19. Optical, transport and magnetic properties 20. Linear response theory. Kubo's formula. Electrical conductivity. Optical transitions and optical constants. Kramers-Kronig relations. Photoemission (XPES, BIS). Stoner theory of itinerant magnetism.

 
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