**Lectures & Exersises:** Winter term 2023

**Timetable:** UFV/TKL1/99, lectures on Monday 12:00, exercises on Tuesday14:30, room: SJ0P16

**Outline:**

- Theoretical description of solid state structure. Electrons in periodic lattice, Bloch’s theorem, reciprocal lattice and Brillouin zone, Born-von Karmán periodic boundary conditions.
- Velocity of Bloch states, density of states, approximation of nearly-free electrons.
- Band structure. Tight-binding method.
- k.p method and Wannier functions.
- Electrons in magnetic field. Properties of materials, heat capacity and susceptibility.
- Lattice vibrations in harmonic approximation, thermodynamics of crystal solids.
- Quantum theory of lattice vibration in solids, phonons.
- Optical properties of solid matter, dielectric function, optical conductivity, excitons.
- Superconductivity, electron-phonon effective attractive interaction.
- Cooper pairs, BCS theory. Ground and excited state of superconductor.
- Magnetism in solid state, itinerant and localized ferromagnetism, Laudau diamagnetism.
- Magnons and spin waves in insulators, thermodynamics of magnons. Spin dynamics.

**Literature:**

N. W. Ashcroft, N. D. Mermin, Solid State Physics, Harcourt College Publisher 1976

S. H. Simon, The Oxford Solid State Basics, Oxford University Press 2013

M. P. Marder, Condensed Matter Physics, Wiley 2010

J. B. Ketterson, The Physics of Solids, Oxford University Press 2016

J. Sólyom, Fundamentals of the Physics of Solids, Volume 2 – Electronic Properties, Springer 2009

E. N. Economou, The Physics of Solids, Springer 2010

S. M. Girvin, K. Yang, Modern Condensed Matter Physics, Cambridge University Press 2019

M. L. Cohen, S. G. Louie, Fundamentals of Condensed Matter Physics. Cambridge University Press 2016

**Homeworks & Supporting materials:** check webdisk