2017
DOI: 10.1103/physrevb.96.144516
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Vortex dynamics in type-II superconductors under strong pinning conditions

Abstract: We study effects of pinning on the dynamics of a vortex lattice in a type II superconductor in the strong-pinning situation and determine the force-velocity (or current-voltage) characteristic combining analytical and numerical methods. Our analysis deals with a small density np of defects that act with a large force fp on the vortices, thereby inducing bistable configurations that are a characteristic feature of strong pinning theory. We determine the velocity-dependent average pinning-force density Fp(v) and… Show more

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Cited by 22 publications
(26 citation statements)
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“…Fc near the velocity v th and then slowly decays, in agreement with the theoretical prediction [14]. manifests in the data as a saturation of the differential resistance, see Fig.…”
Section: K) Rises Steeply Towards the Maximum Valuesupporting
confidence: 89%
See 1 more Smart Citation
“…Fc near the velocity v th and then slowly decays, in agreement with the theoretical prediction [14]. manifests in the data as a saturation of the differential resistance, see Fig.…”
Section: K) Rises Steeply Towards the Maximum Valuesupporting
confidence: 89%
“…Upon decreasing the field below the 3D strong pinning condition n p S trap a 0 < 1, pinning turns one-dimensional (1D) and j c is expected to saturate to a B-independent value. Taking into account a weak κ-dependence of the transverse trapping t ⊥ ∼ κ 1/4 ξ [14] changes the field-scaling of the critical current density to j c ∝ B −α with α = 5/8 for a Lorentzianshaped pinning potential. This result has been verified and augmented by numerical simulations [24] showing that the exponent α in fact decreases for increasing defect densities or vortex core size.…”
Section: Parameters From Strong Pinning Theorymentioning
confidence: 99%
“…Next, we choose the vortex position along the x-axis, R 0 = x e x and assume a radially symmetric pin, implying that u 0 = u e x ; expressing the effective free energy in Eq. (12) in terms of the vortex tip coordinate r = x + u, we arrive at the simplified effective pinning energy…”
Section: A Strong Pinningmentioning
confidence: 99%
“…Matsushita indicates that based on the analysis Kramer can be concluded that there are two types of high-field pinning centers dependent on the strength of pinning [14]. Blatter et al [1], Kwok et al [15], and Thomann et al [16] also conducted research and theoretical analysis on strong pinning centers in high-temperature superconductor materials. Blatter et al [1] suggested that the most prominent type of strong pinning to date is pinning by columnar defects.…”
Section: Introductionmentioning
confidence: 99%
“…Kwok et al [15] indicated that irradiation defects only improve pinning at high magnetic fields and not at very high temperatures. Thomann et al [16] showed that strong pinning is dependent on dynamics of the vortex lattice. Klaassen et al [17] also indicated linear defects create strong pinning centers.…”
Section: Introductionmentioning
confidence: 99%