Superconductivity by Unknown
Author:Unknown
Language: eng
Format: epub, pdf
ISBN: 9783030233037
Publisher: Springer International Publishing
6.5 Current Density Dependence of U AC
As shown in Sect. 6.3, the Arrhenius plots (at constant H and h AC) constructed with the T p(f) data are linear (see Figs. 6.3, 6.4, and 6.6, for example), reflecting the U AC(T) variation from (6.4), in the conditions of a constant current density J p(T p). Using different J levels in the domain of full AC critical-state penetration and similar plots, one can determine the current density dependence of the apparent vortex activation energy U 0(J), as shown below for the superlattice Y11Pr4.
Figure 6.7 illustrates the AC magnetic response of Y11Pr4 in H = 5 kOe, registered with h AC = 3 Oe and f between 1 and 500 Hz. By considering horizontal lines m′ = constant in the full penetration range, as exemplified by the dashed line (m′ = −0.5 × 10−4 emu), Arrhenius plots at different J < J p are constructed with the correspondent T and f values [13]. The m′ data are rapidly converted to J, with J p supplied by (6.2) and by taking into account that for full AC critical-state penetration one has J ∝ |m′|2/3 [36].In the case of Y11 Pr 4, the thickness d in (6.2) is substituted by the effective superlattice thickness (11/15)d 0 (with d 0 = 200 nm), leading to a J p value of 1.68 × 105 A/cm2 (independent of H). The Arrhenius plots at J < J p obtained for the AC magnetic signal of Y11Pr4 from Fig. 6.7 are shown in the main panel of Fig. 6.8, and the determined U 0(J) decreases linearly with ln(J) (see the inset of Fig. 6.8).
Fig. 6.7Temperature dependence of the in-phase (m′) and the out-of-phase (m ″) components of the AC magnetic moment registered for the Y11Pr4 superlattice in H = 5 kOe (h AC = 3 Oe, and f between 1 and 500 Hz), reproduced from the open access [13]. The dashed line represents a constant m′(f) in the full AC critical-state domain, i.e., a constant current density
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