Exact N-vortex solutions to the Ginzburg-Landau equations for {kappa}=1/{radical}(2)

Journal Article · Wed Oct 01 04:00:00 EDT 1997 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.56.7839· OSTI ID:632582

Efanov, A V ^[1]

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1. Institute of Semiconductor Physics, 630090, Novosibirsk (Russia)

The N-vortex solutions to the two-dimensional Ginzburg-Landau equations for the {kappa}=1/{radical}(2) parameter are built. The exact solutions are derived for the vortices with large numbers of the magnetic flux quanta. The size of the vortex core is supposed to be much greater than the magnetic-field penetration depth. In this limiting case the problem is reduced to the determination of the vortex core shape. The corresponding nonlinear boundary problem is solved by means of the methods of the theory of analytic functions. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 632582
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 13 Vol. 56; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOUNDARY CONDITIONS
GINZBURG-LANDAU THEORY
MIXED STATE
TYPE-II SUPERCONDUCTORS
VORTICES