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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 | Abstract: | Schr"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 | Services: | Forum | Review | PDF | Favorites |
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