Flux lines repel each other, thus a hexagonal lattice which maximizes the d
istance between them is generally the lowest energy configuration. In the r
are-earth nickel borocarbide superconductor YNi2B2C, square lattices of flu
x lines have been observed when the field is parallel to the c-axis, Using
the c-axis penetration depth as a gauge, we find that the cross-section of
an individual flux line has a four-fold symmetry, which makes square lattic
es energetically favored over the more prosaic hexagonal ordering. The depe
ndence of the penetration depth within the basal plane is discussed. (C) 19
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