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Quantum Hall states and drag effect in capacitively coupled double-layered Josephson junction arrays

Said Sakhi

DOI 10.1103/PhysRevB.72.024520 · Physical Review B

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Abstract

The dynamics and transport coefficients of vortices in two capacitively coupled Josephson junction arrays are investigated in the presence of frustration due to applied magnetic fields and offset charges. The resemblance between vortex dynamics and that of massive charged particles in a fictitious magnetic field and interacting with gauge fields is exploited in a Chern-Simons-Ginzburg-Landau approach. It is shown that the vortices’ Hall conductivity in each layer and the Hall drag conductivity between layers are quantized; while the longitudinal vortex conductivity shows a perfect drag effect resulting in two equally large but opposite currents in the parallel layers.

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