2005/09/30 by Assa Auerbach, Daniel P. Arovas, Sankalpa Ghosh
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Magnetic field #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum tunnelling #Superconductivity #Superfluidity #Vortex #Wave function #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.74.064511
published as Phys. Rev. B74, 64511, (2006). · A revised manuscript, including new predictions for observing vortex tunneling effects in cold atoms and superconducting films
arxiv created 2006/04/04 · openalex publication_date 2006/08/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The tunneling rate tv∕\ensuremathℏ of a vortex between two pinning sites (of strength V separated by d) is computed using the Bogoliubov expansion of vortex wave-functions overlap. For BCS vortices, tunneling is suppressed beyond a few Fermi wavelengths. For Bose condensates, tv=V\phantom\rule0.2em0exexp(\ensuremath-\ensuremathπnsd2∕2), where ns is the boson density. The analogy between vortex hopping in a superconducting film and two-dimensional electrons in a perpendicular magnetic field is exploited. We derive the variable range hopping temperature, below which vortex tunneling contributes to magnetoresistance. 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 wave functions and overlap calculations, and a general derivation of the Magnus coefficient for any wave function on the sphere, are provided in appendixes.