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Field-induced p-wave Superconductivity in Mesoscopic Systems

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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 $R smaller R_c ~ xi(0)$, the T=0 coherence length. We predict that chiral p-wave states exhibit superconductivity for $R smaller R_c$ only in the presence of a vortex with opposite chirality. This 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.

This talk is part of the Theory of Condensed Matter series.

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