2018/11/12 by Antonio Badía-Majós, Antonio Badia-Majos · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Annulus (botany) #Combinatorics #Condensed matter physics #Critical current #Gauge (firearms) #Gauge theory #Geometry #Invariant (physics) #Iron-based superconductors research #Josephson effect #Loop (graph theory) #Materials science #Mathematical physics #Mathematics #Mechanics #Physics #Physics of Superconductivity and Magnetism #RADIUS #Superconductivity #Vortex #Wilson loop #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.98.184518
11 pages, 8 figures
arxiv created 2018/11/12 · openalex publication_date 2018/11/28 · arxiv updated 2018/12/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the influence of Pearl vortices in the vicinity of an edge-type Josephson junction for a superconducting thin-film loop in the form of an annulus, under uniform magnetic field. Specifically, we obtain the exact analytic formulation that allows one to describe the circulating current density and the gauge invariant phase increment \mathrm\ensuremathΔ\ensuremathφ across the junction. The main properties of \mathrm\ensuremathΔ\ensuremathφ and their influence on the critical current pattern Ic(B) are described quantitatively in terms of the loop's width-to-radius ratio W/R and of the vortex position within the loop rv. It is shown that narrow loops (W/R<0.3) may be well described by the straight geometry limit. However, such approximation fails to predict a number of distinctive features captured by our formulation, such as the node lifting effect of the Ic(B) pattern in wide loops or the actual influence of a vortex pinned at different positions.