Monopoles and fractional vortices in chiral superconductors

Abstract

We discuss two exotic objects, which must be experimentally identified in chiral superfluids and superconductors. These are (i) the vortex with fractional quantum number (N=1/2 in chiral superfluids, and N=1/2 and N=1/4 in chiral superconductors), which plays the part ofthe Alice string in relativistic theories; and (ii) the hedgehog in the l-field, which is the counterpart of the Dirac magnetic monopole. These objects of different dimensions are topologically connected. They form the combined object which is called nexus in relativistic theories. In chiral superconductors the nexus has magnetic charge emanating radially from the hedgehog, while the half-quantum vortices play the part of the Dirac string. Each of them supplies the fractional magnetic flux to the hedgehog, representing 1/4 of the "conventional" Dirac string. We discuss the topological interaction of the superconductor's nexus with the `t Hooft-Polyakov magnetic monopole, which can exist in GUT. The `t Hooft-Polyakov magnetic monopole and the hedgehog with the same magnetic charge are topologically confined by a piece of the Abrikosov vortex. Other properties of half-quantum vortices and monopoles are discussed as well, including fermion zero modes.

RevTex file, 8 pages, 6 Figures, prepared for Proc. Nat. Ac. Sc. US, typos corrected, one Figure added (the loop trapping fractional flux in chiral superconductors)

References in corpus (6)

• The role of spin-orbit coupling for the superconducting state in Sr_2RuO_4
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• Monopole, half-quantum vortices and nexus in chiral superfluids and superconductors
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• Colloquium: Quantum Properties and Functionalities of Magnetic Skyrmions
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• Geometric Phase for Fermionic Quasiparticles Scattering by Disgyration in Superfluids
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• Systems of vortices in a binary core-shell Bose-Einstein condensate
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• Quasiparticle Bound States around Fractional Vortices in s-wave Superconductor
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• Fibration, Nexus and Cosmological Composite Topological Defects in Uniaxially Disordered Superfluid ${}^3$He
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