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The predominant d-wave pairing symmetry in high temperature superconductors leads to an unconventional current - phase relation in Josephson junctions. This circumstance may induce new effects in the dynamics of dc SQUIDs. In this contribution we report on the measurements of the dependence of the SQUID Josephson current on the external magnetic field taken at very low temperatures, down to 20 mK. Different grain boundaries have been fabricated by using the biepitaxial and the bicrystal technique. Some of the effects which are induced by a nonsinusoidal current - phase relation can be clearly identified in the dynamics of the SQUIDs. The experimental data are also compared with theoretical simulations taking into account the inductance of the loop. The data show that, in specific conditions, a non-negligible inductance of the loop can induce effects similar to an unconventional current - phase relation, with a pronounced second harmonic sin( 2 phi) term. This fact has to be taken into account when designing d- wave SQUIDs for quantum circuitry.

The magnetic behaviour of multiply connected superconductors (MCS) can be described by analysing the simplest loop structures containing Josephson junctions: conventional loops with all conventional Josephson junctions and π-loops with an odd subset of π-junctions. The latter are unconventional Josephson junctions in which the coupling has the reversed sign and appears in the ceramic materials as a consequence of d-pairing. Among MCS, the magnetic behaviour of large β two-dimensional Josephson junction arrays (JJA) is based on the single loop behaviour. Solving full mutual inductance Josephson junction square array equations with and without π-loops shows that the mutual inductance coupling influences the distribution of π/conventional loops without substantially altering their single loop magnetization. The JJA mean magnetic behaviour in a low field can be recovered using a simple energy approach based on the single loop solutions avoiding the solution of the array equations. Also, we draw some consequences on the behaviour of more complex MCS as high-Tc ceramics and their observed paramagnetic susceptibilities (paramagnetic Meissner effect).

We report on the fabrication procedure and the transport properties of submicron grain boundary biepitaxial YBCO Josephson junctions. These first results are very encouraging and justify further expectations on improved performances for such types of devices. A reduced and more controlled faceting along the grain boundary interface, for instance, will better preserve intrinsic d-wave effects, and favour the study of fluxons dynamics.