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Instability of a triangular Abrikosov lattice at values of the Ginzburg–Landau parameter κ close to unity

  • Yu. N. Ovchinnikov
  • I. M. Sigal
Order, Disorder, and Phase Transition in Condensed System

Abstract

The “soft” transverse mode of gapless excitations related to the deformation of a triangular Abrikosov lattice with a single flux quantum per unit cell at an arbitrary value of the Ginzburg–Landau parameter κ is investigated. An Abrikosov lattice with the angle φ = π/3 between the unit cell vectors is shown to be unstable in a narrow range of values, 1 < κ < 1.000634. The excitation spectrum of the mode under consideration at low values of the momentum k (in the k 2 approximation) is isotropic at k lying in a plane perpendicular to the magnetic field.

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References

  1. 1.
    A. A. Abrikosov, Sov. Phys. JETP 5, 1174 (1957).Google Scholar
  2. 2.
    V. L. Ginzburg and L. D. Landau, Zh. Eksp. Teor. Fiz. 20, 1064 (1950).Google Scholar
  3. 3.
    I. M. Sigal and T. Tzanetas, arXiv: 1308.5446Google Scholar
  4. 4.
    Yu. N. Ovchinnikov, J. Exp. Theor. Phys. 117, 480 (2013).ADSCrossRefGoogle Scholar
  5. 5.
    I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, New York, 2000).Google Scholar

Copyright information

© Pleiades Publishing, Inc. 2016

Authors and Affiliations

  1. 1.Max-Planck Institute for Physics of Complex SystemsDresdenGermany
  2. 2.Landau Institute for Theoretical PhysicsRussian Academy of SciencesChernogolovka, Moscow oblastRussia
  3. 3.Department of MathematicsUniversity of TorontoTorontoCanada

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