We study the interplay between a novel vortex-loop unbinding in finite magnetic field at T0ex0ex=0ex0exTV and flux-line-lattice (FLL) melting at T0ex0ex=0ex0exTM in type-II superconductors. The FLL melts due to nucleation of vortex loops parallel to the ^c axis, connected to flux lines. For moderate anisotropy, phase coherence parallel to ^c is lost at TV>TM due to an ab-plane vortex-loop unbinding with loops located close to thermal FLL fluctuations. For large anisotropy, phase coherence parallel to ^c is lost at TV<TM due to nucleation of vortex loops uncorrelated to flux lines, predominantly in the ab plane.
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Nguyen et al. (1996) studied this question.
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