Anisotropic criteria for the type of superconductivity

V. G. Kogan and R. Prozorov
Phys. Rev. B 90, 054516 – Published 25 August 2014

Abstract

The classical criterion for classification of superconductors as type I or type II based on the isotropic Ginzburg-Landau theory is generalized to arbitrary temperatures for materials with anisotropic Fermi surfaces and order parameters. We argue that the relevant quantity for this classification is the ratio of the upper and thermodynamic critical fields Hc2/Hc, rather than the traditional ratio of the penetration depth and the coherence length λ/ξ. Even in the isotropic case, Hc2/Hc coincides with 2λ/ξ only at the critical temperature Tc and they differ as T decreases, the long-known fact. Anisotropies of Fermi surfaces and order parameters may amplify this difference and render false the criterion based on the value of κ=λ/ξ.

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  • Received 24 July 2014

DOI:https://doi.org/10.1103/PhysRevB.90.054516

©2014 American Physical Society

Authors & Affiliations

V. G. Kogan* and R. Prozorov

  • Ames Laboratory-DOE and Department of Physics, Iowa State University, Ames, Iowa 50011, USA

  • *kogan@ameslab.gov
  • prozorov@ameslab.gov

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Issue

Vol. 90, Iss. 5 — 1 August 2014

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