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28 March 2024
 
  » arxiv » 1504.0570

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Fractional quantum vorticity in superfluid-superconductor mixture
D. Kobyakov ; L. Samuelsson ; M. Marklund ; E. Lundh ; V. Bychkov ; A. Brandenburg ;
Date 2 Apr 2015
AbstractSchr"odinger equation describes non-relativistic single-particle probability density, and appears to be a simplest physical model of superfluids and superconductors as far as the topological properties and zero-temperature low-energy quantum hydrodynamics are concerned [1-3]. The present model satisfies the Galilean invariance, lacking in earlier formulations of a superfluid-superconducting mixture in the context of neutron stars. As a crude approximation for the description of uniform superfluid nuclear matter, we use the equation of state of a superfluid Fermi gas with large scattering length [4-9]. We consider stationary vortex-type solutions, which are the building units of vortex arrays in rotating magnetised cold nuclear matter of neutron star cores. We find that these vortices and magnetic flux tubes are fractional, because velocity of each superfluid is a linear combination of momenta of both fluids, in accordance with the conventional picture. On the length scale between the macroscopic hydrodynamic scale and the scale of the Cooper pair coherence length, problems such as interaction of quantum vortices and quantum hydrodynamic instabilities, are sensitive to the internal structure of the topological defects, and to the spatial shape of density of the order parameter, and may be studied within the present framework.
Source arXiv, 1504.0570
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