Magnetic flux penetration into a superconducting double stripline with an edge barrier

An analytical solution to a problem concerning the behavior of a superconducting contour comprising two parallel thin-film strips in a magnetic field of increasing strength. The entrance of vortices into the films, which are free of bulk inhomogeneities, is controlled by an edge barrier (of the Bean-Livingston or geometric type). It is established for the first time that the Meissner state can be realized in two regimes: the classical Meissner state in the interval of magnetic field strengths 0≤ H ≤ H s (where H s is field strength corresponding to the entrance of the first vortex) and the state in the interval H s ≤ H ≤ H c for which vortices formed on the boundaries of the films penetrate into the gap. For H ≥ H c , the magnetic flux penetration is accompanied by the appearance of a mixed state in the films. Expressions describing the inductance of the superconducting circuit in the entire range of magnetic fields are also obtained for the first time.