AC response of Abrikosov vortices in layered superconductors

S. N. Artemenko, C. Kramer, W. Wonneberger

Research output: Chapter in Book/Report/Conference proceedingChapter


In a layered high-T c superconductor an Abrikosov vortex line perpendicular to the layers can be considered as a stack of coupled two-dimensional 'pancake' vortices (2DV) with cores residing inside the superconducting layers. When the in-plane penetration length λ abEQλ is smaller than the Josephson length λ Jcd/(d: layer period) the interaction between 2DV is via a magnetic pair force which is complicated but exactly known. We calculate linear and nonlinear ac responses for this model including randomly distributed pinning centers. In detail, the thermally averaged shift S n(t) of a 2DV inlayer n under the influence of a finite external ac current in the frequency range up to 1 GHz is computed from coupled Fokker-Planck equations for the distribution functions of 2DV positions. In the adiabatic approximation, the Fokker-Planck equations can be cast into a nonlinear differential equation for a continuous shift function S(z, t) using a gradient expansion. The constitutive equation for S(z,t) is solved perturbatively for the linear ac response and for the mixing current at frequency 2ω-1$/-ω-2$/ from two external currents at frequencies ω-1$/ and ω-2$/ ≈2ω-1$/ due to a third order process. This pseudo-harmonic mixing probes the nonlinearity of the intervortex force and its interplay with pinning. Explicit results for the film geometry are given for the surface impedance Z 3 and the mixing current amplitude δ j (3) as functions of external frequencies, crossover frequency ω-1$/ ∝ n idω-D$/ (measuring the pinning), and diffusion frequency W D of free 2DV.

Original languageEnglish
Title of host publicationJournal De Physique. IV : JP
PublisherPubl by Editions de Physique
Number of pages4
Publication statusPublished - Jul 1993
EventProceedings of the International Workshop on Electronic Crystals (ECRYS 93) - Carry-le-Rouet, Fr
Duration: 2 Jun 19934 Jun 1993


OtherProceedings of the International Workshop on Electronic Crystals (ECRYS 93)
CityCarry-le-Rouet, Fr

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'AC response of Abrikosov vortices in layered superconductors'. Together they form a unique fingerprint.

Cite this