Linear and nonlinear AC response of Abrikosov vortices in layered superconductors adiabatic approximation

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

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Linear and nonlinear AC responses for a magnetically coupled stack of two-dimensional vortices (2DV's) forming an Abrikosov vortex line perpendicular to the layers of a layered superconducting film are calculated. By solving the Fokker-Planck equations for the distribution functions of 2DV positions in the adiabatic approximation and including randomly distributed pinning centers, a nonlinear differential equation for the continuous shift function S(z, t) is derived. Josephson coupling only changes coefficients in this equation. The equation for S(z, t) is solved perturbatively for the linear AC response and for the third-order mixing current at frequency 2ω12. This pseudoharmonic mixing probes the nonlinearity of the intervortex force and its interplay with pinning. Explicit analytical results are given for the surface impedance Zs and the mixing current δj(3). The cases of thin and thick films with respect to the AC penetration length are considered in detail.

Original languageEnglish
Pages (from-to)101-113
Number of pages13
JournalPhysica C: Superconductivity and its Applications
Volume220
Issue number1-2
DOIs
Publication statusPublished - 1 Feb 1994

Fingerprint

Superconducting materials
alternating current
Vortex flow
vortices
approximation
Fokker Planck equation
Superconducting films
superconducting films
Fokker-Planck equation
Thick films
thick films
Distribution functions
Differential equations
differential equations
penetration
distribution functions
nonlinearity
impedance
Thin films
probes

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Linear and nonlinear AC response of Abrikosov vortices in layered superconductors adiabatic approximation. / Artemenko, S. N.; Krämer, C.; Wonneberger, W.

In: Physica C: Superconductivity and its Applications, Vol. 220, No. 1-2, 01.02.1994, p. 101-113.

Research output: Contribution to journalArticle

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