We establish a new interstitial-vacancy unbinding transition of the Berezin
skii-Kosterlitz-Thouless type, transforming the three-dimensional pancake-v
ortex lattice of a magnetically coupled layered superconductor into a defec
ted solid. This transition is the finite-field extension of the vortex-anti
vortex unbinding transition establishing the zero-field superfluid stiffnes
s. At finite Josephson coupling, the defect unbinding transition turns into
a topological decoupling transition.