Tunnelling of topological line defects in strongly coupled superfluids
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Publication:4511556
DOI10.1002/1521-3889(200007)9:7%3C523::AID-ANDP523%3E3.0.CO;2-DzbMATH Open0956.82030arXivcond-mat/9909166OpenAlexW2594516340MaRDI QIDQ4511556
Author name not available (Why is that?)
Publication date: 30 October 2000
Abstract: The geometric theory of vortex tunnelling in superfluid liquids is developed. Geometry rules the tunnelling process in the approximation of an incompressible superfluid, which yields the identity of phase and configuration space in the vortex collective co-ordinate. To exemplify the implications of this approach to tunnelling, we solve explicitly for the two-dimensional motion of a point vortex in the presence of an ellipse, showing that the hydrodynamic collective co-ordinate description limits the constant energy paths allowed for the vortex in configuration space. We outline the experimental procedure used in helium II to observe tunnelling events, and compare the conclusions we draw to the experimental results obtained so far. Tunnelling in Fermi superfluids is discussed, where it is assumed that the low energy quasiparticle excitations localised in the vortex core govern the vortex dynamical equations. The tunnelling process can be dominated by Hall or dissipative terms, respectively be under the influence of both, with a possible realization of this last intermediate case in unconventional, high-temperature superconductors.
Full work available at URL: https://arxiv.org/abs/cond-mat/9909166
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