J. O. Indekeu — Page 2

arXiv2001

Interfacial phase transitions in twinning-plane superconductors

Within the framework of Ginzburg-Landau theory we study the rich variety of interfacial phase transitions in twinning-plane superconductors. We show that the phase behaviour strongly depends on the transparency of the twinning plane for electrons measured by means of the coupling parameter α_TP. By analyzing the solutions of the Ginzburg-Landau equations in the limit of perfectly transparent twinning planes, we predict a first-order interface delocalization transition for all type-I materials. We further perform a detailed study of the other limit in which the twinning plane is opaque. The phase diagram proves to be very rich and fundamentally different from the transparent case, recovering many of the results for a system with an external surface. In particular both first-order and critical delocalization transitions are found to be possible, accompanied by a first-order depinning transition. We provide a comparison with experimental results and discuss the relevance of our findings for type-II materials.

cond-mat.supr-con↗

arXiv2000

Effects of confinement and surface enhancement on superconductivity

Within the Ginzburg-Landau approach a theoretical study is performed of the effects of confinement on the transition to superconductivity for type-I and type-II materials with surface enhancement. The superconducting order parameter is characterized by a negative surface extrapolation length $b$. This leads to an increase of the critical field $H_{c3}$ and to a surface critical temperature in zero field, $T_{cs}$, which exceeds the bulk $T_c$. When the sample is {\em mesoscopic} of linear size $L$ the surface induces superconductivity in the interior for $T < T_{c}(L)$, with $T_c(L) > T_{cs}$. In analogy with adsorbed fluids, superconductivity in thin films of type-I materials is akin to {\em capillary condensation} and competes with the interface delocalization or "wetting" transition. The finite-size scaling properties of capillary condensation in superconductors are scrutinized in the limit that the ratio of magnetic penetration depth to superconducting coherence length, $κ\equiv λ/ξ$, goes to zero, using analytic calculations. While standard finite-size scaling holds for the transition in non-zero magnetic field $H$, an anomalous critical-point shift is found for H=0. The increase of $T_c$ for H=0 is calculated for mesoscopic films, cylindrical wires, and spherical grains of type-I and type-II materials. Surface curvature is shown to induce a significant increase of $T_c$, characterized by a shift $T_c(R)-T_c(\infty)$ inversely proportional to the radius $R$.

cond-mat.supr-con↗