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

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

2004-09-24

arxiv.org/abs/cond-mat/0409635v2

Physics

Condensed Matter

Superconductivity

4 pages, 2 figures

Scientific paper

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 $4\pi$-flux, $2\pi$-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 $\pi_2(S^2)$, but the fractional flux vortex has the Abelian topology $\pi_1(S^1)$. 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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