s of Doctor′s Theses (Received The Degree of Doctorof Engineering in 2006) ..................................................................................................................................................................... 24 Abstracts of Papers (Published in 2006) ....................................................................................................................

Anticommutator Green’s functions and energy spectra of fullerene C80, endohedral fullerenes Lu3N@С80 Y3N@С80 with the Ih symmetry groups have been obtained in an analytical form within Hubbard model static fluctuation approximation. The states classified using methods group theory, allowed transitions molecules Y3N@С80have determined. On basis these spectra, interpretation experimentally observ...

We present local density approximation augmented by the Hubbard-type correction calculations of high-temperature elastic properties of bridgmanite with composition (Mg(1−x)Fe x )SiO3 for 0≤×≤0.125. Results of elastic moduli and acoustic velocities for the Mg end-member (x=0) agree very well with the latest high-pressure and high-temperature experimental measurements. In the iron-bearing system,...

The problem of stability of saturated and non-saturated ferromagnetism in the Hubbard model is considered in terms of the one-particle Green’s functions. Approximations by Edwards and Hertz and some versions of the self-consistent approximations based on the 1/z-expansion are considered. The account of longitudinal fluctuations turns out to be essential for description of the non-saturated stat...

– We demonstrate from first principles that ferromagnetic core, meron vortex configurations of the spin1 2 antiferromagnet in two-dimensions give rise to midgap electronic states in the Mott-Hubbard charge gap. Merons are collective mode excitations of the antiferromagnet and are induced by doping the system with charge carriers. They are the topological analogs of charged bosonic domain wall s...

– The one-dimensional Hubbard model at half-filling is studied in the framework of the Composite Operator Method using a static approximation. A solution characterized by strong antiferromagnetic correlations and a gap for any nonzero on-site interaction U is found. The corresponding ground-state energy, double occupancy and specific heat are in excellent agreement with those obtained within th...

The problem of stability of saturated and non-saturated ferromagnetism in the Hubbard model is considered in terms of the one-particle Green’s functions. Approximations by Edwards and Hertz and some versions of the self-consisten approximations based on the 1/z-expansion are considered. The account of longitudinal fluctuations turns out to be essential for description of the non-saturated state...

2014 The spin lattice relaxation time T1 of a Hubbard chain for large U is proportional to the square root of the Larmor frequency 03C9 for a non-half-filled band as well as for the (already known) case of a half-filled band. The proportionality coefficient has a finite limit when U goes to ~, except for a half-filled band.