Theory of Solid State 2

Course guarantor:

Jaroslav Hamrle

Lecturer:

Jaroslav Hamrle, Hanuš Seiner

Tutor:

Supervisor:

Department of Solid State Engineering

Synopsis:

The content of the lesson is based on quantum-mechanical description of crystalline solid state materials, providing a fundamental base of theoretical description of solid state properties.

Requirements:

Syllabus of lectures:

1. Fermions, Hartree-Fock approximation, determination of ground state using variational principle.

2. Many-particle quantum systems, electron gas, density functional theory.

3. Nearly-free electron approximation, tight binding approximation (linear combination of atomic orbitals).

4. One-electron description of wave function in solid, APW, OPW, pseudopotentials.

5. Bloch functions, Wannier functions.

6. Brillouin zone, symmetries in solids

7. Electron-phonon interaction, polarons.

8. Electron dynamic in magnetic field: de Hass-van Alphen effect, cyclotron resonance.

9. Calculation of band structure and Fermi surfaces.

10. Semiconductors: band structure, doping states, cyclotron resonance.

11. Topological properties of solids, Berry curvature, Chern charge, surface electron state.

12. Application of Green functions in solids.

Syllabus of tutorials:

Study Objective:

Study materials:

Key references:

[1] Steven H. Simon: The Oxford Solid State Basics, OUP Oxford, 2013

[2] J. Patterson, B. Bailey, Solid State Physics: Introduction to the Theory, 2010

Recommended references:

[3] R.M. Martin, Electronic Structure: Basic Theory and Practical Methods, 2012

[4] Philip Hofmann: Solid State Physics: An Introduction, 2008

Note:

Time-table for winter semester 2024/2025:

Time-table is not available yet

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans:

• Kvantové technologie (compulsory course in the program)