Czechoslovak Journal of Physics

, Volume 46, Supplement 3, pp 1815–1816 | Cite as

Renormalization group analysis of weak collective pinning

  • O. S. Wagner
  • G. Blatter
  • H. Bucheli
  • V. B. Geshkenbein
  • A. I. Larkin
HTSC—Vortices (Theory)


The effect of impurity disorder on vortex lattices in type-II superconductors is studied within the framework of the weak collective pinning theory. Using a renormalization group approach, we calculate the sizeR c of collectively pinned vortex bundles in the regimea o <R c <λ (small bundles) for isotropic superconductors. We assume weak disorder and neglect thermal effects. Our findings quantitatively refine the lowest-order perturbation result,R c \(\sqrt B \), obtained by Larkin and Ovchinnikov in 1979 (B is the magnetic induction). In particular, we find a different numerical constant in the exponential as well as a new algebraic prefactor. These improvements provide us with a more accurate functional dependence of the critical current on the magnetic field.


Vortex Renormalization Group Vortex Lattice Small Length Scale Renormalization Group Analysis 
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Copyright information

© Institute of Physics, Acad. Sci. CR 1996

Authors and Affiliations

  • O. S. Wagner
    • 1
  • G. Blatter
    • 1
  • H. Bucheli
    • 1
  • V. B. Geshkenbein
    • 1
  • A. I. Larkin
    • 2
  1. 1.Theoretische PhysikETH-HönggerbergZürichSwitzerland
  2. 2.L.D. Landau Institute for Theoretical PhysicsMoscowRussia

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