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Geometric Phase for Fermionic Quasiparticles Scattering by Disgyration in Superfluids

Abstract

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.Comment: 7 pages, to appear in Europhys. Let

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