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Course, academic year 2023/2024
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Solid State Physics II - NFPL147
Title: Fyzika pevných látek II
Guaranteed by: Department of Condensed Matter Physics (32-KFKL)
Faculty: Faculty of Mathematics and Physics
Actual: from 2021
Semester: summer
E-Credits: 9
Hours per week, examination: summer s.:4/2, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Teaching methods: full-time
Guarantor: doc. RNDr. Karel Carva, Ph.D.
RNDr. Martin Žonda, Ph.D.
Files Comments Added by
download tc_me_ol_210223.pdf Phonons and the Mössbauer effect doc. RNDr. Ilja Turek, DrSc.
download t_mf_ol_210225.pdf Mean-field approximation for Ising model doc. RNDr. Ilja Turek, DrSc.
download t_sp_ol_210307.pdf Screening and plasmons in homogeneous electron liquid doc. RNDr. Ilja Turek, DrSc.
Annotation -
The lecture represents a continuation of the lecture Physics of solids I (FPL143) and it is focused on selected equilibrium properties and collective phenomena, such as the Mössbauer effect, phase transitions in the Ising model, magnons in the Heisenberg model, screening and plasmons in an electron liquid. An introduction to the relevant theoretical tools is presented including fundamentals of the group theory.
Last update: Turek Michal, RNDr. Mgr. (18.05.2007)
Course completion requirements -

The course is completed by passing oral exam. To participate in the exam it is necessary to complete the credit.

To obtain the credit active participation is required. Each student has to solve a number of problems assigned by the supervisor. Due to these conditions it is not possible to attempt to obtain the credit for the second time in semester.

Exam requirements follow the subject syllabus as presented during lectures.

Last update: Carva Karel, doc. RNDr., Ph.D. (11.05.2022)
Literature -

1. C. Kittel: Introduction to Solid State Physics (John Wiley and Sons, 2004).

2. J. Celý: Kvazičástice v pevných látkách (VUTIUM, 2004).

3. J. P. Elliott, P. G. Dawber: Symmetry in Physics I, II (The Macmillan Press, 1979).

4. S. V. Tjablikov: Metody kvantovoj teorii magnetisma (Nauka, 1975).

5. R. Kužel, M. Saxlová, J. Šternberk: Úvod do fyziky kovů II (SNTL, 1985).

Last update: Turek Michal, RNDr. Mgr. (18.05.2007)
Requirements to the exam - Czech

Zkouška má pouze ústní část. Požadované znalosti odpovídají sylabu předmětu v rozsahu prezentovaném na přednášce.

Last update: Turek Ilja, doc. RNDr., DrSc. (12.10.2017)
Syllabus -

Programme:

1. Phonons in solids and theory of the Mössbauer effect - classical and quantum description of motion of nuclei, statistical properties of a system of linear harmonic oscillators, the Lamb-Mössbauer factor, relation to the Debye-Waller factor.

2. Groups and symmetry in solids - groups and their representations, reducible and irreducible representations, character of a representation, decomposition of a general representation into irreducible representations for a finite group, irreducible representations of space groups of solids, application of the group theory to the search and classification of eigenvalues of hamiltonians of atoms, molecules and solids.

3. Mean-field approximation for the classical Ising model - the Peierls-Feynman inequality, the Ising model of magnetism, molecular field, ferromagnetism, critical behavior, the Landau theory, complex magnetic orders, order-disorder transitions in substitutional solid solutions.

4. Magnons in the quantum Heisenberg model - correlation functions and their spectral representations, equations of motion and their approximative solution, local and collective spin excitations, renormalized magnons, critical behavior, the Bloch law.

5. Screening and plasmons in an electron liquid - the Kubo linear response theory, fluctuation-dissipation theorem, pair (particle-hole) excitations in non-interacting systems, dynamical response of a homogeneous non-interacting electron gas and of an interacting electron liquid in the Hartree approximation, the Friedel oscillations, permittivity, the Thomas-Fermi screening, plasmons.

Last update: Turek Michal, RNDr. Mgr. (18.05.2007)
 
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