Study of the physical properties of materials with strong quantum fluctuations: high-temperature superconductors, heavy-fermion intermetallic compounds, quantum magnets, materials with colossal magnetoresistance, cobaltites, and quantum dots (led by Valery V. Val’kov).
Formation of ordered magnetic and superconducting phases and coexistence of superconductivity and antiferromagnetism in strongly correlated systems with heavy fermions, including rare-earth intermetallic compounds.
Study of the properties of normal, magnetic, and superconducting phases in copper oxides in the framework of the spin polaron concept with regard to the strong non-local relationship between spin degrees of freedom in the localized spin and itinerant fermion subsystems.
Study of superconductivity in the framework of the Kohn−Luttinger mechanism of new superconducting systems and graphene.
Quantum transport through magnetic structures at the atomic scale.
Formation of the superconducting phase with the chiral d+id order parameter and conditions for the occurrence of quantum phase transitions with the variation in the 2D topological index of strongly correlated systems on a triangular lattice.
Spectral and magneto-optical properties of strongly anisotropic quantum magnets.
Study of propagation of waves in media with regular and random inhomogeneities (led by Val’ter A. Ignatchenko).
The dynamic susceptibility (Green's function) and the density of states in a sinusoidal superlattice containing simultaneously 2D phase inhomogeneities and 3D amplitude inhomogeneities are investigated. The dynamic susceptibility and density of states of waves in a superlattice at the smooth transition between 3D and 1D inhomogeneities are studied. The spin-wave spectrum in one-dimensional magnon crystals is explored at the periodic modulation of all basic magnetic parameters of a material. Green’s functions of the system of two coupled wave fields of different physical natures in a medium with an arbitrary relation between the mean value and rms fluctuation of the coupling parameter are examined.
