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

Abstract

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.

Growth of a Vortex Polycrystal in Type II Superconductors

“…where ξ ≃ 100 Å is the coherence length [30], and b 0 ≃ 5 Å is the Burgers vector of the screw dislocation [29]. The resulting expression predicts a linear field dependence of the grain size with logarithmic corrections.…”

“…The pinning force due to a screw dislocation was computed in Ref. [32] and is given by f 0 /B B 1=2 1 ÿ B B ln=2:7b 0B B B B 1=2 ln=2:7b 0B B, where ' 100 A is the coherence length [33], and b 0 ' 5 A is the Burgers vector of the screw dislocation [32]. The resulting expression predicts a linear field dependence of the grain size with logarithmic corrections.…”

Plasticity and grain boundary motion in vortex matter

“…The pinning force due to a screw dislocation was computed in Ref. [25] and is given by f 0 ∝B 1/2 (1 −B) ln(ξ sc /2.7b 0B ) ≈B 1/2 ln(ξ sc /2.7b 0B ), where ξ sc 100Ȧ is the coherence length [26], and b 0 5Ȧ is the Burgers vector of the screw dislocation [25]. The resulting expression predicts a linear field dependence of the grain size with logarithmic corrections.…”