{"title":"Effect of time oscillating magnetic fields on the vortex dynamics of superconducting thin films with columnar defect and slit","authors":"Yufeng Zhao, Yuan Du, Ping Ma","doi":"10.1140/epjb/s10051-024-00724-1","DOIUrl":null,"url":null,"abstract":"<div><p>The time-dependent Ginzburg–Landau equation (TDGL) for type II superconducting films containing columnar defects and slits was solved numerically using finite-element techniques. The Gibbs free energy of the system and the corresponding dynamical behavior of the vortex are analyzed under stable and time-oscillating magnetic fields. The effect of the frequency of the applied magnetic field on both the energy profile was observed. Finally, we discussed the impact of the Ginzburg–Landau parameter on the quantity of complete vortices generated.</p><h3>Graphical Abstract</h3><div><figure><div><div><picture><source><img></source></picture></div><div><p>The time evolution of |<i>ψ</i>|<sup>2</sup> is shown. From the top left corner to the bottom right corner of the picture, (<b>a</b>) t = 6; (<b>b</b>) t = 13; (<b>c</b>) t = 27; (<b>d</b>) t = 41; (<b>e</b>) t = 73; (<b>f</b>) t = 130; (<b>g</b>) t = 163</p></div></div></figure></div></div>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":"97 6","pages":""},"PeriodicalIF":1.6000,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal B","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjb/s10051-024-00724-1","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, CONDENSED MATTER","Score":null,"Total":0}
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Abstract
The time-dependent Ginzburg–Landau equation (TDGL) for type II superconducting films containing columnar defects and slits was solved numerically using finite-element techniques. The Gibbs free energy of the system and the corresponding dynamical behavior of the vortex are analyzed under stable and time-oscillating magnetic fields. The effect of the frequency of the applied magnetic field on both the energy profile was observed. Finally, we discussed the impact of the Ginzburg–Landau parameter on the quantity of complete vortices generated.
Graphical Abstract
The time evolution of |ψ|2 is shown. From the top left corner to the bottom right corner of the picture, (a) t = 6; (b) t = 13; (c) t = 27; (d) t = 41; (e) t = 73; (f) t = 130; (g) t = 163
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