Condensed matter physics

Enrollment into the program.

Chemical bonds in condensed matter: Van der Waals

and molecular bonds. Ion bond, Madelung constant in

crystals. Covalent bond: hybridization. Metallic bond.

Hydrogen bond.

Dielectric properties of matter: polarizability. Internal

electric fields in insulators. Clausius-Mosotti equation.

Lattice oscillations in ionic crystals. Polaritons.

Paraelectrics, pyroelectrics and ferroelectrics.

Phenomenology of phase transitions.

Magnetic properties of matter: atomic susceptibility,

Hund rules. Langevin and van Vleck paramgnetism,

Larmor diamagnetism. Curie law in crystals.

Paramagnetism of free electrons. Origin of magnetic

coupling, Heisenberg model. Ferromagnetism.

Curie-Weiss law. Mean field approximation and phase

transition.

Critical phenomena: magnetization, susceptibility,

specific heat. Spin waves in ferromagnets.

Antiferromagnetism, ferrimagnetism. Anisotropy,

domain structure and hysteresis of ferromagnets.

Superconductivity: properties of superconductors, ideal

conductivity, Meissner effect. London equations,

magnetic field penetration depth. Thermodynamic

properties, condensation energy. Coherence length.

Energy gap. Cooper pairs. Microscopic source of superconductivity. Macroscopic wave function.

Magnetic flow quantization. Vortex threads.

Superconductivity of the 2nd kind. Josephson\'s

effects, SQUID.

Mechanic properties of crystals: point, line and plane

defects. Dislocations: edge, vortex. Burger\'s vector.

Dislocation mobility. Plastic deformations. Mechanic

properties of realistic materials.

Fluids: pair correlation function, structure factor.

Hydrodynamics. Superfluidity.

• C. Kittel: Introduction to Solid State Physics, (John Wiley, 1953, 2005),

• N. W. Ashcroft, N. D. Mermin: Solid State Physics, (Holt, Rinehart and Winston, 1976),

• Hall, Hook: Solid State Physics, (John Wiley, 1984),

• M. P. Marder: Condensed Matter Physics (John Wiley, 2000).

Basic understanding of dielectric, magnetic and

mechanical properties of condensed matter and

collective ordered states and phase transitions at low

temperatures.

Knowledge and understanding

Understanding of basic properties of condensed matter

and of collectiv phenomena and phase transitions in

such matter.

Application

Acquired knowledge enables basic undertsnading of

condensed matter. It is a basis for detailed studies of

materials and their technology applications.

Reflection

Usage of theoretical basics of quantum mechanics and

statistical physics for description of realistic materials.

Transferable skills

Transfer from theoretical basics of physics to

understnading of basic properties of condensed matter

and its technological exploatation.

lectures, tutorials

Oral examination
grading: 5 (fail), 6-10 (pass) (according to the Statute of UL)
Written exam or colloquia

1. VIDMAR, Lev, BONČA, Janez, TOHYAMA, Takami, and MAEKAWA, Sadamichi, Quantum Dynamics of a
   
   Driven Correlated System Coupled to Phonons, Phys. Rev. Lett. 107, 246404-1- 246404-4 (2011).
   
2. MIERZEJEWSKI, Marcin, BONČA, Janez, PRELOVŠEK, Peter. Integrable Mott insulators driven by a finite
   
   electric field. Phys. Rev. Lett., 107, 126601-1-126601-4, (2011).
   
3. MIERZEJEWSKI, Marcin, VIDMAR, Lev, BONČA, Janez, PRELOVŠEK, Peter. Nonequilibrium quantum
   
   dynamics of a charge carrier doped into a Mott insulator. Phys. Rev. Lett. 106, 196401-1-196401-4 (2011).
   
4. VIDMAR, Lev, BONČA, Janez, MIERZEJEWSKI, Marcin, PRELOVŠEK, Peter, TRUGMAN, Stuart A.
   
   Nonequilibrium dynamics of the Holstein polaron driven by an external electric field. Phys. Rev., B 83,
   
   134301-1-134301-7 (2011).
   
5. VIDMAR, Lev, BONČA, Janez, MAEKAWA, Sadamichi, TOHYAMA, Takami. Bipolaron in the t-J model
   
   coupled to longitudinal and transverse quantum lattice vibrations. Phys. Rev. Lett. 103, 186401 (2009).
   
6. BONČA, Janez, MAEKAWA, Sadamichi, TOHYAMA, T. Numerical approach to the low-doping regime of the
   
   t-J model. Phys. Rev. B 76, 035121 (2007).