Published August 1, 1991 | Version v1
Journal article

Duality between Cooper-pair and vortex dynamics in two-dimensional Josephson-junction arrays

  • 1. Department of Applied Physics, Delft University of Technology, 2600 GA Delft (The Netherlands)

Description

The dynamics of Cooper pairs and vortices in a Josephson-junction array is investigated. For this purpose, a Hamiltonian is constructed in terms of vortex charges. Josephson-type equations for vortices are derived. A comparison with the Cooper-pair Hamiltonian shows that the roles of the magnetic field and induced charge density are reversed. The vortex and Cooper-pair Hamiltonians are approximately self-dual when EC/EJ=π2/2 (EC=e2/2C), which results in an array resistivity close to h/4e2

Additional details

Publishing Information

Journal Title
Physical Review, B: Condensed Matter
Journal Volume
44
Journal Issue
5
Series
Phys. Rev., B: Condens. Matter.
Journal Page Range
2264-2267
ISSN
0163-1829
CODEN
PRBMD