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The modified London equation, Abrikosov-like vortices and knot solitons in two-gap superconductors

2008/08/07 by Li-Da Zhang, Yi-Shi Duan, Yu-Xiao Liu
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Iron-based superconductors research #Knot (papermaking) #Magnetic field #Magnetic flux #Magnetic monopole #Physics of Superconductivity and Magnetism #Skyrmion #Soliton #Superconductivity #Vortex #cond-mat.supr-con

paper · pdf · doi:10.1088/1751-8113/41/37/375201

published as J. Phys. A: Math. Theor. 41 (2008) 375201 · 3 pages, no figures

openalex publication_date 2008/08/07 · arxiv created 2008/08/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We derive the exact modified London equation for the two-gap superconductor, and compare it with its single-gap counterpart. We show that the vortices in the two-gap superconductor are soft (or continuous) core vortices. In particular, we discuss the topological structure of the finite-energy vortices (Abrikosov-like vortices), and find that they can be viewed as the incarnation of the baby skyrmion stretched in the third direction. Besides, we point out that the knot soliton in the two-gap superconductor is the twisted Abrikosov-like vortex with its two periodic ends connected smoothly. The relation between the magnetic monopoles and the Abrikosov-like vortices is also discussed briefly.

Citations