theoretical approaches to the description of phase transitions and phase
diagrams of systems, including those under high pressure.
of the electronic structure of elements and compounds.
theory of melting of systems in two and three dimensions.
of finite elastic deformations.
and strongly correlated electrons.
condensation of ultracold atoms.
glasses and orientational ordering in mixed crystals.
skin-effect in polycrystals.
quantum-mechanical calculations of electron properties of solids by the
simulation of physical systems by Monte Carlo and molecular dynamics.
method of generating superhigh pressures in the anvil-type apparatus has
been substantiated theoretically, and the maximum achievable pressure
new approach to description of the liquid-solid phase transition known as
the density functional method in the theory of crystallization in two- and
three-dimensional systems has been proposed.
works in the theory of non-Ising spin glasses have been accomplished.
theory of spin polaron as elementary excitation in two-dimensional
antiferromagnets has been developed.