Kuznetsova T. Theoretical simulation of phase transition in low-dimensional magnetics and films of complicated liquids

Investigation objects: low-dimensional magnetics and films of microemulsions described by the lattice models. Purpose: to determine particularities of phase transitions in lattice models of transition and rare-earth elements with low-dimensional magnetic properties and in spin models of films of complicated liquids of a microemulsion type. Methods: different variants of the White's renormalization group method DMRG, the operational perturbation theory in secondary quantization formalizm and numerical diagonalization methods of symmetric matrices. Theoretical estimations for the temperature dependence of the intrinsic energy and the heat capacity of two-dimensional Ising model with competing interactions on different model parameters have been obtained. The analytical and numerical investigation of the energy spectrum of anisotropic spin lattice formed by XY chains with the Ising inter-chain coupling have been performed. For Hubbard model with infinite repulsion on anisotropic strip-type triangular lattice with one electron per unit cell the existence of magnetic transition. Degree of application: investigation of anisotropic spin lattices.