Nonlocal corrections to the London model are used to describe vortex lattices in LuNi₂{B}₂$C. Within this scheme in fields along the c axis, vortices should form a square lattice (rotated 45^∘{} relative to the crystal axes afandfb) at large fields, should transform to a triangular one at a field H₂, and to another triangular lattice at a still lower field H₁. We argue that the transition at H₂ is of second order, whereas at H₁ it is of first order. In tilted fields, H₂ is predicted to move to higher fields. Neutron-scattering data for ErNi₂{B}₂$C are discussed.
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Kogan et al. (1997) studied this question.