Geometric phase for fermionic quasiparticles scattering by disgyration in superfluidsL. C. Garcia de Andrade1, A. M. de M. Carvalho2 and C. Furtado2
1 Departamento de Física Teórica, Instituto de Física-UERJ Rua São Fco. Xavier 524, Rio de Janeiro, RJ, Maracanã, 20550-003, Brazil
2 Departamento de Física, Universidade Federal da Paraíba Caixa postal 5008, 58051-970, João Pessoa, PB, Brazil
(Received 22 January 2004; accepted in final form 8 June 2004)
We consider a Volovik's analogue model for the description of topological defects in a superfluid and we investigate the scattering of quasiparticles in this background. The analogue of the gravitational Aharonov-Bohm effect in this system is found. An analysis of this problem employing loop variables is considered and corroborates 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.
04.20.-q - Classical general relativity.
03.65.Vf - Phases: geometric; dynamic or topological.
02.40.-k - Geometry, differential geometry, and topology.
© EDP Sciences 2004