Skyrmionic state and stable half-quantum vortices in chiral p-wave superconductors
Julien Garaud, Egor Babaev

TL;DR
This paper demonstrates that in chiral p-wave superconductors, skyrmions composed of half-quantum vortices can be thermodynamically stable, unlike fractional flux vortices which are usually unstable in bulk samples.
Contribution
The study reveals a regime where skyrmions, formed by separated half-quantum vortices, are stable topological defects in chiral p-wave superconductors, contrasting with prior instability of fractional vortices.
Findings
Skyrmions are stable in certain regimes of chiral p-wave superconductors.
Half-quantum vortices can form stable skyrmions under external fields.
Integer flux vortex lattices are not thermodynamically favored in these conditions.
Abstract
Observability of half-quantum vortices and skyrmions in p-wave superconductors is an outstanding open question. Under the most common conditions, fractional flux vortices are not thermodynamically stable in bulk samples. Here we show that in chiral p-wave superconductors, there is a regime where, in contrast lattices of integer flux vortices are not thermodynamically stable. Instead skyrmions made of spatially separated half-quantum vortices are the topological defects produced by an applied external field.
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