Vortex Tunneling and Transport Theory In Two-Dimensional Bose Condensates
arXiv:cond-mat/0509263 · doi:10.1103/PhysRevB.74.064511
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.
arXiv commentA revised manuscript, including new predictions for observing vortex tunneling effects in cold atoms and superconducting films
References in corpus (29)
- Vortex formation in a stirred Bose-Einstein condensate
- Vortices in a Bose-Einstein Condensate
- Vortices in a trapped dilute Bose-Einstein condensate
- The Excitation Spectrum of a Bose-Einstein Condensate
- Vortex nucleation in Bose-Einstein condensates in an oblate, purely magnetic potential
- QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
- Superconductivity-Related Insulating Behavior
- Vortex Dynamics and the Hall-Anomaly: a Microscopic Analysis
- Plaquette Boson-Fermion Model of Cuprates
- Putting competing orders in their place near the Mott transition
- Transport Through Quantum Melts
- Transverse force on a quantized vortex in a superfluid
- Ground State and Excited States of a Confined Bose Gas
- Quantum ratchet effect for vortices
- Evidence for charge-flux duality near the quantum Hall liquid to insulator transition
- Possible field-tuned SIT in high-Tc superconductors: implications for pairing at high magnetic fields
- The Quantized Hall Insulator: A New Insulator in Two-Dimensions
- Vortices and quasiparticles near the "superconductor-insulator" transition in thin films
- Bragg spectroscopy of the multi-branch Bogoliubov spectrum of elongated Bose-Einstein condensates
- From Feynman's Wave Function to the Effective Theory of Vortex Dynamics
- Dynamical Vortices in Superfluid Films
- Hall Resistivity and Dephasing in the Quantum Hall Insulator
- Interaction-induced Bose Metal in 2D
- Hall resistance in the hopping regime, a "Hall Insulator"?
- Effective action for vortex dynamics in clean d-wave superconductors
- Localization length at the resistivity minima of the quantum Hall effect
- Vortex Pair Production and Decay of a 2-D Supercurrent by a Quantum Field Theory Approach
- Quantum Correlated Interstitials and the Hall Resistivity of the Magnetically Induced Wigner Crystal
- Quasi-particle Tunneling Through a Barrier in the Fractional Quantum Hall Regime
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- Resistance in Superconductors
- Majorana fermions of a two-dimensional Px+iPy superconductor
- topological insulator analog for vortices in an interacting bosonic quantum fluid
- Effective field theory of a vortex lattice in a bosonic superfluid
- Critical capacitance and charge-vortex duality near the superfluid to insulator transition
- Vortex Dynamics and Hall Conductivity of Hard Core Bosons
- Pinned vortex hopping in a neutron star crust
- Quantum tunneling of a vortex between two pinning potentials
- Superconductor-insulator transitions in three-dimensional indium-oxide at high pressures
- Vortex quantum dynamics of two dimensional lattice bosons
- Resistance of 2D superconducting films
- Quantum vortex tunneling in thin films
- Jet-like tunneling from a trapped vortex
- Vortex Variable Range Hopping in a Conventional Superconducting Film
- Many-body effects in the excitations and dynamics of trapped Bose-Einstein condensates