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We establish a new interstitial-vacancy unbinding transition of the Berezinskii-Kosterlitz-Thouless type, transforming the three-dimensional pancake-vortex lattice of a magnetically coupled layered superconductor into a defected solid. This transition is the finite-field extension of the vortex-antivortex unbinding transition establishing the zero-field superfluid stiffness. At finite Josephson coupling, the defect unbinding transition turns into a topological decoupling transition.
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Dodgson et al. (1999) studied this question.
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