Field-induced p-wave Superconductivity in Mesoscopic Systems

Abstract

By using Bogoliubov-de Gennes (BdG) equations, we study superconducting (SC) states in a quasi 2-dimensional system of radius $R$. It is shown that no vortices exist in s-wave SC samples with $R<R_{\text{c}}\sim \xi (0)$, the T=0 coherence length. We predict that chiral p-wave states exhibit superconductivity for $R<R_{\text{c}}$ only in the presence of a vortex with opposite chirality. This {\it induced} SC phase is a consequence of non-zero chirality of the pairing order parameter and implies the presence of chiral edge currents. Our study may be applied to sharply probing the pairing symmetry of unconventional superconductors.

5 pages, 3 figures, more details of the calculation and its extension will be presented in a longer companion paper

References in corpus (3)

• Observation of half-height magnetization steps in Sr2RuO4
• Effect of Surface Andreev Bound States on the Bean-Livingston Barrier in d-Wave Superconductors
• Strong surface contribution to the Nonlinear Meissner Effect

Cited by in corpus (4)

• Topological phase transitions in small mesoscopic chiral p-wave superconductors
• Study of the threshold line between macroscopic and bulk behaviors for homogeneous type II superconductors
• Phase diagrams of a p-Wave superconductor inside a mesoscopic disc-shaped sample
• Selective equal spin Andreev reflection at vortex core center in magnetic semiconductor-superconductor heterostructure