
Theory of Complex Systems and Advanced Materials
Armenia,
Australia, Austria, Azerbaijan, Belarus, Belgium, Brazil, Bulgaria,
Canada, Czech Republic, Denmark, Ecuador, Egypt, France, Germany,
Hungary, India, Iran, Italy, Japan, Mongolia, New Zealand, Poland,
Republic of Korea, Romania, Russia, Serbia, Slovakia, Slovenia, South
Africa, Spain, Switzerland, Taiwan, Ukraine, United Kingdom, USA,
Uzbekistan, Vietnam. Development of analytical and numerical methods for studying complex manybody systems that are of current interest in modern condensed matter physics, the development of mathematical models of these systems and the identification of universal laws on the example of studied models. Analysis of both lattice and fieldtheory models of equilibrium and nonequilibrium statistical systems and modeling of a wide class of new materials, including nanostructured materials, which are of great practical importance. The concepts of scaling and universality allow one to go beyond the model approach and to apply the results obtained to broad classes of phenomena studied in the physics of condensed matter. The results obtained will be used in carrying out experimental studies of condensed matter at JINR. It is important to note the markedly growing interdisciplinary nature of research, where condensed matter physics and statistical physics closely intersect with atomic and nuclear physics, particle physics, mathematical physics, astrophysics, and biology.
Calculation of quantum corrections to the spinwave spectrum of strongly spinorbit coupled insulator in a magnetic field with inplane anisotropic interactions.
Calculation
of magnon spectral line broadening in a honeycomb ferromagnet with
DzyaloshinskiiMoriya interactions.
Calculation
of the electronic spectrum and superconductivity temperature as
a function of doped holes in the extended t – J model where the
intersite Coulomb repulsion and the electronphonon interaction
are taken into account.
Calculation of the electron mobility and conductivity of polycrystalline graphene. Investigation of the electron transport in nanostructures based on modern materials such as transition metal chalcogenides and graphene, taking into account the effect of scattering by phonons and the role of the surface. Investigation of electronic transport properties of molybdenum disulphide monolayer with randomly distributed and periodic antidots in the band and hopping transport regimes. Investigation of a novel type of superconductivity that emerges in the 3band Hubbard model on the lattices featuring a topological flat band. Application of this approach to account for hightemperature superconductivity in CuO_{2} geometry.
Description of stochastic models of interacting particles with pairing on a onedimensional lattice. Construction of the Green function and characterization of limiting hydrodynamics and characteristic fluctuations with the help of the Bethe ansatz and freefermion techniques. Description of the statistics of loops in the critical percolation model on a cylinder using techniques based on the TemperleyLieb algebra representations and the Bethe ansatz. Finding of stochastic dualities in the models of interacting particles based on the properties of the Hecke algebras and their representations. Investigation of "entangled states” of a complex quantum system when the entire system is in a welldefined state but subsystems are not. Cosntruction of the quasioscillator representation of linear quantum groups: construction of the finitedimensional representations and investigation of the Hopf structures. Finding of polynomial solutions of the finitedifference KnizhnikZamolodchikov equations related to the diffusionannihilation stochastic processes. Description of duality functions for these processes.
Collaboration
