Duality between Cooper-pair and vortex dynamics in two-dimensional Josephson-junction arrays
B. J. van Wees
DOI 10.1103/PhysRevB.44.2264 · Physical Review B
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Abstract
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.
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