Since the reorganization of the Institute on 1. January, 2013. the Department consists of the following research groups:

- Complex systems
- Strongly correlated systems
- Long-range order in condensed systems
- Semiconductor nanostructures

- Determination of phase-diagrams of spin-ladders using density matrix- renormalization group method
- Mapping of the self-states of the one-dimensional attractive Hubbard- model using Bethe Ansatz
- Consequences of magnetic impurities in mesoscopic metals.
- Investigation of connections between two-level systems and various Kondo-models using renormalization group method
- Interpretation of the results of Raman-scattering with the help of the bilayer-model
- Investigation of magnetic anisotropy of thin layers considering the spin- orbit coupling, Kondo-effect, and relativistic effects
- Determination of atomic volume, and elastic properties of transition metals using full charge-density techique.
- Conditions of ferromagnetic order formation in lattice models. Investigation of the connection between Kondo lattice-and band ferromagnetism in correlated two-band model.
- Investigation of the dinamic exponents of non-equilibrium phase transitions in the kinetic Ising model.
- Determination of dinamic properties and self-states of Bose-condensed gases.