Abstract
Based on the complex three-component order parameter model of a spin-triplet superconductor, by using the ϕ-mapping theory, we derive a new equation describing the distribution of the magnetic field for vortices, which can be reduced to the modified London equation in the case of | ψ2|2 = |ψ3|2 = 0 and Wl1 = 1. A magnetic flux quantization condition for vortices in a spin-triplet superconductor is also derived, which is topological-invariant. Furthermore, the branch processes during the evolution of the vortices in a spin-triplet superconductor are discussed. We also point out that the sum of the magnetic flux quantization that those vortices carried is 2nΦ0 (Φ0 is the unit magnetic flux), that is to say, the sum of winding number is even, which needs to be proved by experiment.
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