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.

7 pages, to appear in Europhys. Lett

References in corpus (4)

• Riemannian geometry of irrotational vortex acoustics
• On the space-time curvature experienced by quasiparticle excitations in the Painleve-Gullstrand effective geometry
• Light Rays at Optical Black Holes in Moving Media
• Theory of a Slow-Light Catastrophe

Cited by in corpus (4)

• Analogue Gravity
• Aharonov-Bohm-like effect for light propagating in nematics with disclinations
• Dynamics on the cone: closed orbits and superintegrability
• Scaterring of Massless Quasiparticles in the 3He-A Superfluid