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Symmetry and Pairing in Superconductors pp 131–140Cite as

Vortex Lattice Melting Theories as an Example of Science Fiction

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Part of the book series: NATO Science Series ((ASHT,volume 63))

Abstract

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.

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Author information

Authors and Affiliations

  1. Institute of Microelectronics Technology and High Purity Materials, Russian Academy of Sciences, 142432, Chernogolovka, Moscow District, Russia

    A. V. Nikulov

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  1. A. V. Nikulov
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Editors and Affiliations

  1. SUPRAS, Institute of Physics, University of Liège, Belgium

    Marcel Ausloos

  2. Bogolyubov Institute for Theoretical Physics, Kiev, Ukraine

    Sergei Kruchinin

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Nikulov, A.V. (1999). Vortex Lattice Melting Theories as an Example of Science Fiction. In: Ausloos, M., Kruchinin, S. (eds) Symmetry and Pairing in Superconductors. NATO Science Series, vol 63. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4834-4_12

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  • DOI: https://doi.org/10.1007/978-94-011-4834-4_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-5521-2

  • Online ISBN: 978-94-011-4834-4

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