The ground state of a double-exchange model for orbitally degenerate e(g) electrons with Jahn-Teller lattice coupling and weak disorder is found to be spatially inhomogeneous near half filling. Using a real-space Monte Carlo method we show that doping the half-filled orbitally ordered insulator leads to the appearance of hole-rich disordered regions in an orbitally ordered environment. The dopi...

Neutron scattering was used to determine the spin structure and the magnon spectrum of the Mott-Hubbard insulator YTiO3. The magnetic structure is complex, comprising substantial G-type and A-type antiferromagnetic components in addition to the predominant ferromagnetic component. The magnon spectrum, on the other hand, is gapless and nearly isotropic. We show that these findings are inconsiste...

In this paper, we study the existence and uniqueness of fixed points for mappings with respect to a $wt$-distance in $b$-metric spaces endowed with a graph. Our results are significant, since we replace the condition of continuity of mapping with the condition of orbitally $G$-continuity of mapping and we consider $b$-metric spaces with graph instead of $b$-metric spaces, under which can be gen...

This work describes the characterisation and culture performance of a novel, orbitally shaken, single-use photobioreactor (SUPBr) system for microalgae cultivation. The SUPBr mounted on an orbitally shaken platform was illuminated from below. Investigation of fluid hydrodynamics indicated a range of different flow regimes and the existence of 'in-phase' and 'out-of-phase' conditions. Quantifica...

We study a two-dimensional, two-band double-exchange model for eg electrons coupled to Jahn-Teller distortions in the presence of quenched disorder using a recently developed Monte Carlo technique. In the absence of disorder the half-filled system at low temperatures is an orbitally ordered ferromagnetic insulator with a staggered pattern of Jahn-Teller distortions. We examine the finite-temper...

We investigate the Mott transition in innnite dimensions in the orbitally degenerate Hubbard model. We nd that the qualitative features of the Mott transition found in the one band model are also present in the orbitally degenerate case. Surprisingly, the quantitative aspects of the transition around density one are not very sensitive to orbital degeneracy, justifying the quantitative success o...

We investigate the Mott transition in infinite dimensions in the orbitally degenerate Hubbard model. The qualitative features of the Mott transition found in the one-band model are also present in the orbitally degenerate case. We show that the quantitative aspects of the low-energy behavior near the Mott insulating state with one electron per site are not very sensitive to orbital degeneracy, ...

In this paper, we discuss the existence and uniqueness of fixed points for $G$-asymptotic contractions in metric spaces endowed with a graph. The result given here is a new version of Kirk's fixed point theorem for asymptotic contractions in metric spaces endowed with a graph. The given result here is a generalization of fixed point theorem for asymptotic contraction from metric s paces to metr...

The structure of doped BiMnO3 was studied using synchrotron x-ray powder diffraction. The dopants included isovalent magnetic and non-magnetic ions in the magnetic Mn sublattice (BiMn1-xMx O3 with M=Cr, Fe and Ga), isovalent ions in the Bi sublattice (Bi0.9La0.1MnO3) and isovalent self-dopants (Bi0.95MnO2.925). The results indicate that at low doping levels, the orbitally ordered structure (C2/...

Studies of the production of orbitally excited charmed and charmed strange mesons in eecollisions, performed by the LEP collaborations are reviewed. Measurements of the production rates of orbitally excited charmed mesons in semileptonic b decays are presented. Searches for charmed meson radial excitations are also briefly discussed.