{"title":"时间振荡磁场对带有柱状缺陷和狭缝的超导薄膜涡旋动力学的影响","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":"{\"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}","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}
引用次数: 0
摘要
利用有限元技术对含有柱状缺陷和狭缝的 II 型超导薄膜的时变金兹堡-朗道方程（TDGL）进行了数值求解。分析了稳定磁场和时间振荡磁场下系统的吉布斯自由能以及涡旋的相应动力学行为。观察到了外加磁场的频率对能量曲线的影响。最后，我们讨论了金兹堡-朗道参数对产生的完整涡旋数量的影响。
Effect of time oscillating magnetic fields on the vortex dynamics of superconducting thin films with columnar defect and slit
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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