Fluxoid solitons in superconducting tapered tubes and bottlenecks
arXiv:2510.20892 · doi:10.1103/qb8l-cj9j
Abstract
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.
arXiv comment16 pages, 7 figures
References in corpus (45)
- Topological Insulators
- Topological insulators and superconductors
- New directions in the pursuit of Majorana fermions in solid state systems
- Quasiclassical Green's function approach to mesoscopic superconductivity
- Epitaxy of Semiconductor-Superconductor nanowires
- From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
- Local Density of States in a Dirty Normal Metal connected to a Superconductor
- Flux-induced topological superconductivity in full-shell nanowires
- Topological superconductivity in full shell proximitized nanowires
- Flux-induced Majorana modes in full-shell nanowires
- Spin-orbit splitting of Andreev states revealed by microwave spectroscopy
- Non-Quantized Penetration of Magnetic Field in the Vortex State of Superconductors
- Nontopological zero-bias peaks in full-shell nanowires induced by flux tunable Andreev states
- Majorana nanowires for topological quantum computation
- Probing dynamics and pinning of single vortices in superconductors at nanometer scales
- Hunting for Majoranas
- Conduction Channels of an InAs-Al nanowire Josephson weak link
- Signatures of interactions in the Andreev spectrum of nanowire Josephson junctions
- Analysis of low-field isotropic vortex glass containing vortex groups in YBCO thin films visualized by scanning SQUID microscopy
- Non-Meissner electrodynamics and knotted solitons in two-component superconductors
- Anomalous Metallic Phase in Tunable Destructive Superconductors
- Soliton states in mesoscopic two-band-superconducting cylinders
- Electronic structure of full-shell InAs/Al hybrid semiconductor-superconductor nanowires: Spin-orbit coupling and topological phase space
- Even-odd effect and Majorana states in full-shell nanowires
- Fluctuation persistent current in small superconducting rings
- Asymmetric Little-Parks Oscillations in Full Shell Double Nanowires
- Theory of Caroli-de Gennes-Matricon analogs in full-shell hybrid nanowires
- Joule spectroscopy of hybrid superconductor-semiconductor nanodevices
- Multiple topological transitions driven by the interplay of normal scattering and Andreev scattering
- Phenomenology of Majorana zero modes in full-shell hybrid nanowires
- Density of states in SF bilayers with arbitrary strength of magnetic scattering
- Corbino-geometry Josephson weak links in thin superconducting films
- Fluxoid-induced pairing suppression and near-zero modes in quantum dots coupled to full-shell nanowires
- Heat dissipation mechanisms in hybrid superconductor-semiconductor devices revealed by Joule spectroscopy
- Josephson effect and critical currents in trivial and topological full-shell hybrid nanowires
- The ac Driven Annular Josephson Junctions: The Missing Steps
- Supercurrent transport through 1-periodic full-shell Coulomb islands
- Absence of Majorana oscillations in finite-length full-shell hybrid nanowires
- Subgap transport in superconductor--semiconductor hybrid islands: Weak and strong coupling regimes
- Self-consistent calculation of the flux-flow conductivity in diffusive superconductors
- Magnetoelectric effects in diffusive two-dimensional superconductors studied by the nonlinear model
- InP/GaSb core-shell nanowires: a novel hole-based platform with strong spin-orbit coupling for full-shell hybrid devices
- Fluxoid valve effect in full-shell nanowire Josephson junctions
- Self-consistent evaluation of proximity and inverse proximity effects with pair-breaking in diffusive SN junctions
- Caroli-de Gennes-Matricon Analogs in Full-Shell Hybrid Nanowires