Geometric Phase for Fermionic Quasiparticles Scattering by Disgyration   in Superfluids
  We consider a Volovik's analog model for description of a topological defects in a superfluid and we investigate the scattering of quasiparticles in this background. The analog of the gravitational Aharonov-Bohm in this system is found. An analysis of this problem employing loop variables is considered and corroborates for the existence of the Aharonov-Bohm effect in this system. The results presented here may be used to study the Aharonov-Bohm effect in superconductors. 
L.C. Garcia de Andrade, A. M. de M. Carvalho and C. Furtado