Microwave Absorption by Vortices in Superconductors with a Washboard Pinning Potential
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Title |
Microwave Absorption by Vortices in Superconductors with a Washboard Pinning Potential
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Creator |
Shklovskij, V.A.
Dobrovolskiy, O.V. |
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Subject |
Research Subject Categories::NATURAL SCIENCES
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Description |
let us compare the results presented in the chapter with the analogous but more general results obtained by the authors [25] on the basis of a stochastic model for arbitrary temperature T and densities j0 and j1. In that work, the Langevin equation (1), supplemented with a thermofluctuation term, has been exactly solved for γ = 1 interms ofamatrix continued fraction [52] and, depending on the WPP’s tilt caused by the dc current, two substantially differentmodes in the vortexmotion have been predicted. Inmore detail, at low temperatures and relatively high frequencies in a nontilted pinning potential each pinned vortex is confined to its pinning potential well during the ac period. In the case of superimposed strong ac and dc driving currents a running state of the vortex may appear when it can visit several (or many) potential wells during the ac period. As a result, two branches of new findings have been elucidated [25, 27]. First, the influence of an ac current on the usual E0(j0) and ratchet E0(j1) CVCs has been analyzed. Second, the influence of a dc current on the ac nonlinear impedance response and nonlinear power absorption has been investigated. In particular, the appearance of Shapiro-like steps in the usual CVC and the appearance of phase-locking regions in the ratchet CVC has been predicted. At the same time, it has been shown that an anomalous power absorption in the ac response is expected at close-to critical currents j0 jc and relatively low frequencies ω ωp. Figure 8 shows the main predictions of these works. Namely, predicted are (i) an enhanced power absorption at low frequencies, (ii) a temperature- and current-dependent minimum at intermediate frequencies. (iii) At substantially low temperatures, the absorption can acquire negative values which physically corresponds to the generation by vortices. However, a more general and formally precise solution of the problem in terms of a matrix-continued fraction does not allow the main physical results of the problemto be investigated in the formof explicit analytical functions of the main physical quantities (j0, j1, ω, α, T, , and γ) which, we believe, has helped us greatly to elucidate the physics in the problem under consideration. |
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Date |
2013-10-04T11:33:35Z
2013-10-04T11:33:35Z 2012 |
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Type |
Article
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Identifier |
Superconductors – Materials,Properties and Applications,Charter 11,pp. 263-288
http://dspace.univer.kharkov.ua/handle/123456789/9101 |
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Language |
en
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Publisher |
Intech
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