Fluxoid solitons in superconducting tapered tubes and bottlenecks

Fuente: arXiv
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Main Authors: Kokkeler, Tim, Uldemolins, Mateo, Lobo, Francisco, Bergeret, F. Sebastian, Prada, Elsa, San-Jose, Pablo
Format: Preprint
Published: 2025
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author Kokkeler, Tim
Uldemolins, Mateo
Lobo, Francisco
Bergeret, F. Sebastian
Prada, Elsa
San-Jose, Pablo
author_facet Kokkeler, Tim
Uldemolins, Mateo
Lobo, Francisco
Bergeret, F. Sebastian
Prada, Elsa
San-Jose, Pablo
contents A thin-walled tubular superconductor develops a quantized fluxoid in the presence of an axial magnetic field. The fluxoid corresponds to the number of phase windings of the superconducting order parameter and is topological in nature. When the tube has a radius variation along the axial direction, forming a bottleneck structure between sections with different radius, a fluxoid mismatch can appear depending on the applied magnetic field. The bottleneck then becomes a topological boundary and is host to topologically protected solutions for the order parameter, dubbed fluxoid solitons, that are free to move around bottlenecks with cylindrical symmetry. Fluxoid solitons are a new type of vortex with non-quantized flux, loosely related to Pearl vortices in thin superconducting films and fluxons in Corbino Josephson junctions. We characterize their properties as a function of system parameters using the self-consistent quasiclassical theory of diffusive superconductors. We consider both short bottleneck structures and long tapered tubes, where multiple trapped fluxoid solitons adopt elaborate arrangements dictated by their mutual repulsion.
format Preprint
id arxiv_https___arxiv_org_abs_2510_20892
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fluxoid solitons in superconducting tapered tubes and bottlenecks
Kokkeler, Tim
Uldemolins, Mateo
Lobo, Francisco
Bergeret, F. Sebastian
Prada, Elsa
San-Jose, Pablo
Superconductivity
A thin-walled tubular superconductor develops a quantized fluxoid in the presence of an axial magnetic field. The fluxoid corresponds to the number of phase windings of the superconducting order parameter and is topological in nature. When the tube has a radius variation along the axial direction, forming a bottleneck structure between sections with different radius, a fluxoid mismatch can appear depending on the applied magnetic field. The bottleneck then becomes a topological boundary and is host to topologically protected solutions for the order parameter, dubbed fluxoid solitons, that are free to move around bottlenecks with cylindrical symmetry. Fluxoid solitons are a new type of vortex with non-quantized flux, loosely related to Pearl vortices in thin superconducting films and fluxons in Corbino Josephson junctions. We characterize their properties as a function of system parameters using the self-consistent quasiclassical theory of diffusive superconductors. We consider both short bottleneck structures and long tapered tubes, where multiple trapped fluxoid solitons adopt elaborate arrangements dictated by their mutual repulsion.
title Fluxoid solitons in superconducting tapered tubes and bottlenecks
topic Superconductivity
url https://arxiv.org/abs/2510.20892