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Superconducting Coherence in a Vortex Line Liquid: Simulations with Finite<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>位</mml:mi></mml:math>
We carry out simulations of a lattice London superconductor in a magnetic field B, with a finite magnetic penetration length \lambda. We find that superconducting coherence parallel to B persists into the vortex line liquid. We argue that the length scale relevant to this effect is \Lambda=\phi_0^2/8\pi T_m.