  Semiconductor-superconductor hybrid nanocircuits are of high interest due to
their potential applications in quantum computing. Semiconductors with a strong
spin-orbit coupling and large $g$-factor are particularly attractive since they
are the basic building blocks of novel qubit architectures. However, for the
engineering of these complex circuits, the building blocks must be
characterized in detail. We have investigated a Josephson junction where the
weak link is a two-dimensional electron gas (2DEG) hosted in an InAs/InGaAs
heterostructure grown on a GaAs substrate. We employed the in-situ epitaxially
grown Al layer as superconducting contacts to form an rf SQUID, and also to
create a microwave resonator for sensing the Josephson inductance. We
determined the gate-dependent current-phase relation, and observed supercurrent
interference in out-of-plane magnetic fields. With the application of an
in-plane magnetic field, we induced asymmetry in the interference pattern,
which was found to be anisotropic in the device plane.
