Vortex Lattice Melting Theories as an Example of Science Fiction

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It is shown that the popular concept of vortex lattice melting has appeared as a consequence of incorrect notions about the Abrikosov state and an incorrect definition of the phase coherence. The famous Abrikosov solution gives qualitatively incorrect results. The transition to the Abrikosov state must be first order in an ideal (without disorder) superconductor. Such a sharp transition is observed in bulk superconductors with weak disorder below H c2. No experimental evidence of the vortex lattice melting exists now. The absence of a sharp transition in thin films with weak disorder is interpreted as due to the absence of long-rang phase coherence down to very low magnetic field. The observed smooth phase coherence appearance in superconductors with strong disorder is explained by an increase of the effective dimensionality. It is proposed to return to the Mendelssohn model for the explanation of the resistive properties of superconductors with strong disorder. It is conjectured that the Abrikosov state is not a vortex lattice with crystalline long-range order.KeywordsMixed StateVortex LatticeScience FictionSolidification TransitionPhase CoherenceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.