We present studies of the vortex state magnetization M of a single crystal
of the nonmagnetic borocarbide superconductor YNi2B2C. With magnetic field
H applied in the square basal plane of the tetragonal unit cell, M has a fo
ur-fold anisotropy. This pi /2 periodicity occurs deep in the superconducti
ve mixed state, with an unusual field dependence, for a range of temperatur
es T < T-c. The observations are well explained by a generalized London mod
el incorporating non-local electrodynamics, using parameters from complemen
tary experiments.