Quantum flux-based resonances in solitonic vortices

Working with the Nielsen-Olesen Lagrangian in static cylindric coordinates, we derive the system of coupled field equations and perform a first-order perturbative approach, pointing out an interesting contribution connected to the London-Heitler current. For an r, 0-depending scalar boson, evolving in a constant or zero magnetic field we get, besides the flux quantization and the Landau energy levels, a less expected structure of the scalar modes whose radial and azimuthal parts are decoupled by the presence of the quantized magnetic flux. (C) 2002 Elsevier Science Ltd. All rights reserved.