Theory of Solid State

Scope of questions for State exams of Master's degree program

Branch: Quantum Technologies

Subject: Theory of Solid State

Subjects regarding the questions:

  • 11TPLA1 Theory of Solid State 1
  • 11TPLA2 Theory of Solid State 2
  1. Structure and defects in solids, symmetry of crystals, crystal lattice, liquid crystals, nanocrystals, amorphous solid.

  2. Bonding in crystals, oscillations of crystal lattice (acoustic and optical phonons), heat capacity of solids.

  3. Schrödinger equation in solids (adiabatic approximation, one-electron approximation), solution of Schrödinger equation in Hartree –Fock approximation, Bloch solution in periodic potential in crystal.

  4. Model of free electron in solids, reciprocal space, Fermi energy, Fermi surface, density of states. Methods of calculation of electronic structure in solids, band structure of different types of solids.

  5. Calculation of electronic structure using density functional theory. Kohn-Sham equation, exchange-correlation potentials. Description of wavefunction in periodic potential.

  6. Boltzmann kinetic equation, scattering of electrons on lattice oscillations and on ionized dopants, relaxation time of conductivity electrons in metals and semiconductors, basic transport effects.

  7. Physics of metals –model of free electrons, electric, magnetic and thermal properties, superconductivity.

  8. Physics of dielectrics –orientation, ionic and electron polarizations, optical properties, ferroelectrics, phase transitions.

  9. Physics of semiconductors –internal and dopant semiconductors, electric conductivity, Hall effect, contact effects, p-n junctions, photoelectric properties, surface properties, transistors.

  10. Magnetic properties of solids –phenomenologic description of ferro-, ferri-and antiferro-magnetism, Heisenberg quantum theory of ferromagnetism, spin-waves, exchange, spin-orbit and Zeeman interactions.