We consider the equivalence classes of graphs induced by the unsigned versions of the Reidemeister moves on knot diagrams. Any graph which is reducible by some finite sequence of these moves, to a graph with no edges is called a knot graph. We show that the class of knot graphs strictly contains the set of delta-wye graphs. We prove that the dimension of the intersection of the cycle and cocycl...

A versatile one-pot auto-combustion method for the synthesis of powders of iron-doped strontium titanate, SrTi1-xFexO3-δ, has been developed. The synthesis is optimised by the combined use of EDTA and citric acid as chelating agents, and an appropriate balance between fuel and oxidising elements in the reaction mixture. The method produces immediately an almost phase-pure perovskite oxide powde...

Neutron and X-ray scattering studies have provided strong evidence for coupled spatial modulations of charge and spin densities in layered nickelates and cuprates. The accumulated results for La2−xSrxNiO4+δ are consistent with the strongly-modulated topological-stripe concept. Clues from Nd-doped La2−xSrxCuO4 suggest similar behavior for the cuprates. The experimental results are summarized, an...

Recent work on atomic-precision dopant incorporation technologies has led to the creation of both boron and aluminum δ-doped layers in silicon with densities above solid solubility limit. We use density functional theory predict band structure effective mass values such δ layers, first modeling them as ordered supercells. Structural relaxation is found have a significant impact impurity energie...

Theoretical work predicts that the strong dependence of Tc on pure shear strain within the a-b plane of optimally doped YBa2Cu3O7−δ results in heterogenous columnar pins of vortex lines about dislocation lines and about nano-columns inclusions aligned in parallel to the c axis. The critical current of a rigid vortex lattice driven by the Lorentz force in the presence of such clusters of pin/ant...