Vortex-charge interaction and Aharonov-Casher effect in two-dimensional superconductors
E. ̆Simánek
DOI 10.1103/PhysRevB.55.2772 · Physical Review B
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Abstract
Starting from the Lagrangian of the electromagnetic interaction of an electric charge with moving vortex, we derive the dual vector potential for a two-dimensional superconductor. Because of the delocalization of the magnetic moment, the phase shift acquired by the vortex as it encircles the charge becomes path dependent and proportional to the number of superelectrons enclosed by the vortex path. Estimates made for Josephson-junction arrays indicate a significantly reduced sensitivity of the quantum vortex interference to the external charge than previously predicted.
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