We consider the mesoscopic normal persistent current (PC) in a very low-temperature superconductor with a bare transition temperature T_0(c) much smaller than the Thouless energy E(c). We show that in a rather broad range of pair-breaking strength, T_0(c) < or = Planck's/tau(s)< or =E(c), the transition temperature is renormalized to zero, but the PC is hardly affected. This may provide an expl...

This article continues the study of computable elementary topology started in [7]. We introduce a number of computable versions of the topological T0 to T3 separation axioms and solve their logical relation completely. In particular, it turns out that computable T1 is equivalent to computable T2. The strongest axiom SCT3 is used in [2] to construct a computable metric.

Graph theory, which is used effectively in many fields from science to liberal arts, has very important place our lives. As a result of this, the topological structure graphs studied by researchers. In this paper, we investigate spaces generated graphs. The states being an accumulation point and interior these are examined. It defined that relative topology on subgraph graph. shown different su...

Using the molecular dynamics method, of hydrogen bond (HB) networks emerging on surface a graphene sheet during its functionalization with hydroxyl groups OH are simulated. It is demonstrated that two form an energetically more advantageous structure when they covalently attached one side to carbon atoms forming opposite vertices hexagon valence bonds sheet. Attaching located at hexagons leads ...

In this paper, a Krein-Milman  type theorem in $T_0$ semitopological cone is proved,  in general. In fact, it is shown that in any locally convex $T_0$ semitopological cone, every convex compact saturated subset is the compact saturated convex hull of its extreme points, which improves the results of Larrecq.

Iterated function systems (IFSs) and their attractors have been central to the theory of fractal geometry almost from its inception. And contractivity functions in IFS has iterated systems. If are contractions, then is guaranteed a unique attractor. Recently, however, there an interest what occurs attractor at boundary between contractvity expansion IFS. That subject this paper. For family $F_t...

We have performed X-ray diffraction experiments on a single crystalline CeCoSi to investigate the unresolved ordered phase below $T_0 \sim 12$ K. discovered that triclinic lattice distortion takes place $T_0$, which is further modified in subsequent antiferromagnetic phase. The structural domains can be selected by applying magnetic field, indicating some electronic ordering exists behind and a...