D-type Vortex and N-type Vortex in Two-gap Superconductor

Y. M. Cho; Pengming Zhang

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arXiv · cond-mat/0409635

D-type Vortex and N-type Vortex in Two-gap Superconductor

Y. M. Cho·Pengming Zhang

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Abstract

We show that the two-gap superconductor has two types of non-Abrikosov magnetic vortex, the D-type which has no concentration of the condensate at the core and the N-type which has a non-vanishing concentration of the condensate at the core, which may carry $4π$-flux, $2π$-flux, or a fractional flux, depending on the parameters of the potential. Furthermore, we show that the non-Abrikosov vortex is described by two types of topology. The integer flux vortex has the non-Abelian topology $π_2(S^2)$, but the fractional flux vortex has the Abelian topology $π_1(S^1)$. We show that the inclusion of the Josephson interaction does not affect the existence of the magnetic vortex, but alter the shape of the vortex drastically.

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Y. M. Cho, Pengming Zhang. 2006-05-19. D-type Vortex and N-type Vortex in Two-gap Superconductor. https://arxiv.org/abs/cond-mat/0409635

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