The Elementary Interaction between a Crystal Dislocation and the Flux Line Lattice of a Type II Superconductor

Schneider, E.; Kronmüller, H.

doi:10.1002/pssb.2220740129

Cited by 17 publications

(4 citation statements)

References 24 publications

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“…The elementary pinning force between a flux line and a given material defect was estimated from GL theory by numerous authors (e.g. Seeger and Kronmüller 1968, Labusch 1968, Kammerer 1969, Kronmüller and Riedel 1970, Schneider and Kronmüller 1976, Fähnle and Kronmüller 1978, Fähnle 1977, Shehata 1981, Ovchinnikov 1980, 1983, see also the reviews by Kronmüller (1974) and Kramer (1978). Trapping of flux lines at cylindrical holes of radius r p was calculated by Mkrtchyan and Schmidt (1971), Buzdin (1993), Buzdin and Feinberg (1994b) (pointing out the analogy with an electrostatic problem when λ → ∞), and Khalfin and Shapiro (1993); cylindrical holes can pin multiquanta vortices with the number of flux quanta n v up to a saturation number n s ≈ r p /2ξ(T ); when more flux lines are pinned (n v > n p ), the hole acts as a repulsive centre, see also Cooley and Grishin (1995).…”

Section: Theories Of Pinningmentioning

confidence: 99%

The flux-line lattice in superconductors

1995

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Magnetic flux can penetrate a type-II superconductor in form of Abrikosov vortices (also called flux lines, flux tubes, or fluxons) each carrying a quantum of magnetic flux φ 0 = h/2e. These tiny vortices of supercurrent tend to arrange in a triangular flux-line lattice (FLL) which is more or less perturbed by material inhomogeneities that pin the flux lines, and in high-T c superconductors (HTSC's) also by thermal fluctuations. Many properties of the FLL are well described by the phenomenological Ginzburg-Landau theory or by the electromagnetic London theory, which treats the vortex core as a singularity. In Nb alloys and HTSC's the FLL is very soft mainly because of the large magnetic penetration depth λ: The shear modulus of the FLL is c 66 ∼ 1/λ 2 , and the tilt modulus c 44 (k) ∼ (1 + k 2 λ 2 ) −1 is dispersive and becomes very small for short distortion wavelength 2π/k ≪ λ. This softness is enhanced further by the pronounced anisotropy and layered structure of HTSC's, which strongly increases the penetration depth for currents along the c-axis of these (nearly uniaxial) crystals and may even cause a decoupling of two-dimensional vortex lattices in the Cu-O layers. Thermal fluctuations and softening may "melt" the FLL and cause thermally activated depinning of the flux lines or of the two-dimensional "pancake vortices" in the layers. Various phase transitions are predicted for the FLL in layered HTSC's. Although large pinning forces and high critical currents have been achieved, the small depinning energy so far prevents the application of HTSC's as conductors at high temperatures except in cases when the applied current and the surrounding magnetic field are small.

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Section: Theories Of Pinningmentioning

confidence: 99%

The flux-line lattice in superconductors

1995

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“…The first expansion coefficient Ul here is defined by (17) From (14) it follows that the force on the FL increases linearly for small distances:…”

Section: Behavior For Distances Ird --Rfi ~ ~mentioning

confidence: 99%

Dielastic interaction of the flux line lattice with internal stresses of crystal imperfections. II. Second-order interaction force between flux lines and crystal dislocations

Schneider¹

1978

J Low Temp Phys

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The elementary dielastic interaction force (hE effect) between crystal dislocations (screw and edge dislocations) and one flux line as well as the flux line lattice is investigated by means of the phenomenological Ginzburg-Landau theory. The dependence of the maximum pinning force on the reduced induction b =-B/Be2 is calculated. It turns out that the dielastic pinning force increases with decreasing coherence length ~, paEccl/~:, and therefore becomes especially large for the technologically important high-field superconductors. Numerical values for the maximum pinning force are presented for Nb and Nb3Sn.

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“…for Hext -+ Hc2, F(~c~~/QFL w/Z) is proportional to (1 -h,) [ 131, whereas f, takes a finite value [14]. Therefore, z, is proportional to: (1 -h).…”

Section: R Schmuckwmentioning

confidence: 99%

The influence of plastic deformation of the flux‐line lattice on flux transport in hard superconductors

Schmucker¹

1977

Physica Status Solidi (b)

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I n hard type-I1 superconductors flux lines may overcome pinning obstacles by plastical flow of the flux-line lattice around the pinning centres. The conditions for this process to occur are investigated. The results for the volume pinning force obey a scaling law and show a specific dependence on the anisotropy of the pinning obstacles and on the Ginsburg-Landau parameter.In harten Supraleitern zweiter Art erfolgt der FluBtransport moglicherweise nicht durch LosreiEen der FluBlinien von den Haftzentren, sondern durch Urngehung der Haftzentren unter plastischer Verformung des FluBliniengitters. Die Bedingungen fur das Auftreten dieses Vorgangs werden untersucht. Die Ergebnisse fur die Volumenhaftkraft gehorchen einem MaBstabsgesetz und zeigen eine spezifische Abhiingigkeit von der Anisotropie der Haftzentren und vom GinsburgLandau-Parameter.

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The Elementary Interaction between a Crystal Dislocation and the Flux Line Lattice of a Type II Superconductor

Cited by 17 publications

References 24 publications

The flux-line lattice in superconductors

The flux-line lattice in superconductors

Dielastic interaction of the flux line lattice with internal stresses of crystal imperfections. II. Second-order interaction force between flux lines and crystal dislocations

The influence of plastic deformation of the flux‐line lattice on flux transport in hard superconductors

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