Abstract
Recent small angle neutron scattering experiments under an external field H by Kleiman et al. reveal that in UPt 3 a distorted vortex lattice is stabilized and the rhombic unit cell angle α( H) varies continuously with increasing H applied perpendicular to the hexagonal c-axis. To understand this interesting observation, we calculate the stable vortex lattices by assuming a non-trivial superconducting state with two component order parameters appropriate for UPt 3. We find by constructing the phase diagrams for Hc and H ⊥ c that (1) the unexpected α( H) behavior in the B phase is indeed explained by the present calculation, (2) however, in the A and C phases α must be independent of H and T, and (3) thus at the BC transition α( H) should exhibit a kink which may be checked by a neutron experiment.
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