Ring-like vortex solutions to the Landau–Ginzburg equations in superconducting mesoscopic devices

2000 ◽  
Vol 332 (1-4) ◽  
pp. 277-280 ◽  
Author(s):  
G. Stenuit ◽  
J. Govaerts ◽  
D. Bertrand ◽  
O. van der Aa
2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Alexander A. Penin ◽  
Quinten Weller

Abstract We elaborate a theory of giant vortices [1] based on an asymptotic expansion in inverse powers of their winding number n. The theory is applied to the analysis of vortex solutions in the abelian Higgs (Ginzburg-Landau) model. Specific properties of the giant vortices for charged and neutral scalar fields as well as different integrable limits of the scalar self-coupling are discussed. Asymptotic results and the finite-n corrections to the vortex solutions are derived in analytic form and the convergence region of the expansion is determined.


2021 ◽  
Vol 299 ◽  
pp. 429-462
Author(s):  
Daomin Cao ◽  
Guolin Qin ◽  
Weicheng Zhan ◽  
Changjun Zou

1994 ◽  
Vol 15 (1) ◽  
pp. 53 ◽  
Author(s):  
P.C. Main ◽  
A.K. Geim ◽  
H.A. Carmona ◽  
T.J. Foster ◽  
P. McDonnell ◽  
...  
Keyword(s):  

Materia Japan ◽  
1999 ◽  
Vol 38 (11) ◽  
pp. 880-887
Author(s):  
Atsushi Saito ◽  
Katsuyoshi Hamasaki ◽  
Takashi Ishiguro

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