Various
theoretical approaches to the description of phase transitions and phase
diagrams of systems, including those under high pressure.
Investigation
of the electronic structure of elements and compounds.
Microscopic
theory of melting of systems in two and three dimensions.
Theory
of finite elastic deformations.
Superconductivity
and strongly correlated electrons.
Bose-Einstein
condensation of ultracold atoms.
Spin
glasses and orientational ordering in mixed crystals.
The
skin-effect in polycrystals.
"First-principle"
quantum-mechanical calculations of electron properties of solids by the
density-functional method.
Computer
simulation of physical systems by Monte Carlo and molecular dynamics.
The
method of generating superhigh pressures in the anvil-type apparatus has
been substantiated theoretically, and the maximum achievable pressure
estimated.
A
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.
Pioneering
works in the theory of non-Ising spin glasses have been accomplished.
The
theory of spin polaron as elementary excitation in two-dimensional
antiferromagnets has been developed.