Vortex Tunneling and Transport Theory In Two-Dimensional Bose Condensates
Abstract
The tunneling rate t_v of a vortex between two pinning sites (of strength V separated by d) is computed using the Bogoliubov expansion of vortex wavefunctions overlap. For BCS vortices, tunneling is suppressed beyond a few Fermi wavelengths. For Bose condensates, t_v = V exp(- pi n_s d^2/2), where n_s is the boson density. The analogy between vortex hopping in a superconducting film and 2D electrons in a perpendicular magnetic field is exploited. We derive the variable range hopping temperature, below which vortex tunneling contributes to magneto-resistance. Using the 'Quantum Hall Insulator' analogy we argue that the -Hall conductivity- (rather than the inverse Hall resistivity) measures the effective carrier density in domains of mobile vortices. Details of vortex wavefunctions and overlap calculations, and a general derivation of the Magnus coefficient for any wavefunction on the sphere, are provided in appendices.
Keywords
Cite
@article{arxiv.cond-mat/0509263,
title = {Vortex Tunneling and Transport Theory In Two-Dimensional Bose Condensates},
author = {Assa Auerbach and Daniel P. Arovas and Sankalpa Ghosh},
journal= {arXiv preprint arXiv:cond-mat/0509263},
year = {2009}
}
Comments
A revised manuscript, including new predictions for observing vortex tunneling effects in cold atoms and superconducting films