Condensed matter physics

2022/2023
Programme:
Physics, Second Cycle
Orientation:
Meteorology
Year:
1. year
Semester:
first
Kind:
optional
ECTS:
8
Language:
slovenian
Hours per week – 1. semester:
Lectures
3
Seminar
0
Tutorial
2
Lab
0
Prerequisites

Enrollment into the program.

Content (Syllabus outline)

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.

Readings

• 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).

Objectives and competences

Basic understanding of dielectric, magnetic and
mechanical properties of condensed matter and
collective ordered states and phase transitions at low
temperatures.

Intended learning outcomes

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.

Assessment

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

Lecturer's references
  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).