Long Josephson Tunnel Junctions with Doubly Connected Electrodes

Abstract

In order to mimic the phase changes in the primordial Big Bang, several "cosmological" solid-state experiments have been conceived, during the last decade, to investigate the spontaneous symmetry breaking in superconductors and superfluids cooled through their transition temperature. In one of such experiments the number of magnetic flux quanta spontaneously trapped in a superconducting loop was measured by means of a long Josephson tunnel junction built on top of the loop itself. We have analyzed this system and found a number of interesting features not occurring in the conventional case with simply connected electrodes. In particular, the fluxoid quantization results in a frustration of the Josephson phase, which, in turn, reduces the junction critical current. Further, the possible stable states of the system are obtained by a self-consistent application of the principle of minimum energy.

34 pages, 9 figures, Phys. Rev. B April 2012

References in corpus (4)

• Spontaneous Fluxon Production in Annular Josephson Tunnel Junctions in the Presence of a Magnetic Field
• Oscillatory eigenmodes and stability of one and two arbitrary fractional vortices in long Josephson 0-kappa-junctions
• Theory of fractional vortex escape in a 0-kappa long Josephson junction
• Current Amplification with Vertical Josephson Interferometers

Cited by in corpus (6)

• Quantitative nanoscale vortex-imaging using a cryogenic quantum magnetometer
• Self-field effects in window-type Josephson tunnel junctions
• Magnetic Sensors Based on Long Josephson Tunnel Junctions - An Alternative to SQUIDs
• Elliptic Annular Josephson Tunnel Junctions in an external magnetic field: The statics
• Gaussianity revisited: Exploring the Kibble-Zurek mechanism with superconducting rings
• Superelliptic Josephson Tunnel Junctions