Spontaneous superconducting islands and Hall voltage in clean superconductors

Abstract

We study a clean superconductor in the Hall configuration, in the framework of a purely dissipative time-dependent Ginzburg--Landau theory. We find situations in which the order parameter differs significantly from zero in a set of islands that appear to form a periodic structure. When the pattern of islands becomes irregular, it moves in or against the direction of the current and a Hall voltage is found. Tiny differences in the initial state may reverse the sign of the Hall voltage. When the average Hall voltage vanishes, the local Hall voltage does not necessarily vanish. We examine the influence that several boundary conditions at the electrodes have on these effects.

arXiv comment6 pages, Includes additional cases and more detailed results

References in corpus (3)

• Quantum state engineering with Josephson-junction devices
• Vortex motion and the Hall effect in type II superconductors: a time dependent Ginzburg-Landau theory approach
• Dynamics of the superconducting condensate in the presence of a magnetic field. Channelling of vortices in superconducting strips at high currents