Complete topological classification of solutions in SO(3) symmetric Ginzburg–Landau free energy has been performed and a new class of solutions in weak external magnetic field carrying two units of magnetic flux has been identified. These solutions, magnetic skyrmions, do not have singular core like Abrikosov vortices and at low magnetic field become lighter for strongly type II superconductors...

We consider a real-analytic compact surface diffeomorphism f , for which the tangent space over the nonwandering set Ω admits a dominated splitting. We study the dynamical determinant df (z) = exp− ∑ n≥1 z n ∑ x∈Fix ∗fn |Det (Df (x) − Id )|, where Fix fn denotes the set of fixed points of f with no zero Lyapunov exponents. By combining previous work of Pujals and Sambarino [PS1, PS2] on C surfa...

The magnetic phase diagram of Ce Ru1−xRhx 2Si2 contains a spin-density-wave SDW magnetic ordering temperature approaching T=0 at both x 0.03 and 0.35–0.4 i.e., a dome-shaped phase boundary and long range, local moment antiferromagnetism, TN=36 K, in pure CeRh2Si2 suppressed with Ru doping to T=0 at x 0.6–0.65. This latter possible second quantum critical point QCP , and the possible interplay b...