Lateral Nb contacts to a high-mobility two-dimensional electron gas (2
DEG) in InGaAs heterostructures are studied. Below T-c of Nb a pronoun
ced non-linearity due to the superconducting energy gap is observed in
the differential resistance. The Nb/2DEG interface reveals an enhance
d zero-bias resistance. In normal state, a drastic decrease of the res
istance with increasing magnetic field perpendicular to the plane of t
he structure is observed. It is explained in terms of a confinement of
electron trajectories near the interface with increasing magnetic fie
ld yielding an enhanced number of transmitted carriers. The suggested
model shows good agreement with experiment. We conclude that the magne
tic field strongly influences the effective conductance of weakly tran
sparent contacts.