Modelling 1D high-temperature superconduction quantum interference filters

Full text: Although the discovery of high temperature superconductivity in the cuprates occurred more than 30 years ago, there remains a lack of suitable theoretical models that can accurately describe the magnetic field performance of small, regular arrays of superconducting quantum interference devices (SQUIDs). The geometrical characteristics of superconducting quantum interference filters (SQIF), for example, play a crucial role in determining the voltage - magnetic flux response of the device [1,2,3]. The main reason for this is the inductive and super-current coupling between the SQUIDs that constitute the SQIF array. In contrast to low temperature superconductors (LTS), in high-temperature superconductors (HTS) the kinetic inductance, derived from the fluxoid term in the gauge invariant equation for the SQUID phases, cannot be neglected. This is because the kinetic inductance is proportional to the square of the London penetration depth and in HTS this penetration depth is much larger than in LTS. Furthermore, in SQIFs the kinetic inductance increases as the film thickness decreases. In this talk I will focus on these issues and I will present a model that considers the kinetic inductance and the structural parameters of the array which enables us to simulate more accurately HTS SQIFs in one and two dimensions. (author)