Theoretical Study of a Superconducting-Glass Model

Abstract
The nature of the metastable magnetic properties of a random Josephson-junction array in the presence of a constant transverse magnetic field is studied extensively by Monte Carlo simulations. The quenched magnetization and helicity modulus are calculated as a function of temperature, field, amounts of disorder, dimensionality, and time. The calculated quantities are found to be strongly thermal-history dependent, similar to the magnetic properties found in high-temperature oxide superconductors. We also suggest to test the results of this paper in artificially made arrays of random Josephson junctions.