Projects per year

### Abstract

Depending on the Ginzburg–Landau parameter K, superconductors can either be fully diamagnetic if K<1/SQRT(2) (type I superconductors) or allow magnetic flux to penetrate through Abrikosov vortices if K>1/SQRT(2) (type II superconductors; refs 1,2). At the Bogomolny critical point, K=Kc=1/SQRT(2), a state that is infinitely degenerate with respect to vortex spatial configurations arises [3,4]. Despite in-depth investigations of conventional type I and type II superconductors, a thorough understanding of the magnetic behaviour in the near-Bogomolny critical regime at K~Kc remains lacking. Here we report that in confined systems the critical regime expands over a finite interval of K forming a critical superconducting state. We show that in this state, in a sample with dimensions comparable to the vortex core size, vortices merge into a multi-quanta droplet, which undergoes Rayleigh instability [5] on increasing and decays by emitting single vortices. Superconducting vortices realize Nielsen–Olesen singular solutions of the Abelian Higgs model, which is pervasive in phenomena ranging from quantum electrodynamics to cosmology [6–9]. Our study of the transient dynamics of Abrikosov–Nielsen–Olesen vortices in systems with boundaries promises access to non-trivial effects in quantum field theory by means of bench-top laboratory experiments.

Original language | English |
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Pages (from-to) | 21-25 |

Number of pages | 5 |

Journal | Nature Physics |

Volume | 11 |

Issue number | 1 |

Early online date | 10 Nov 2014 |

DOIs | |

Publication status | Published - 1 Jan 2015 |

### Keywords

- Critical superconductors
- Mesoscopic Superconductivity
- Hall magnetometry

## Fingerprint Dive into the research topics of 'Rayleigh instability of confined vortex droplets in critical superconductors'. Together they form a unique fingerprint.

## Projects

- 2 Finished

### SFM Consortium: Generation, Imaging and Control of Novel Coherent Electronic States

Engineering and Physical Sciences Research Council

29/03/12 → 28/09/16

Project: Research council

### A SCANNING HALL PROBE MICROSCOPE FOR HIGH RESOLUTION MILLIKE LVIN MAGNETIC IMAGING

Engineering and Physical Sciences Research Council

1/01/06 → 31/12/08

Project: Research council

## Profiles

## Cite this

Lukyanchuk, I., Vinokur, V., Rydh, A., Xie, R., Milosevic, M., Welp, U., Zach, M., Xiao, Z. L., Crabtree, G., Bending, S., Peeters, F., & Kwok, W-K. (2015). Rayleigh instability of confined vortex droplets in critical superconductors.

*Nature Physics*,*11*(1), 21-25. https://doi.org/10.1038/nphys3146