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Author |
Amundsen, Morten; Linder, Jacob |
Title |
General solution of 2D and 3D superconducting quasiclassical systems: coalescing vortices and nanodisk geometries |
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Journal Article |
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2015 |
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arXiv:1512.00030 [cond-mat.supr-con] |
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quasiclassical Usadel equation, finite elements method |
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In quasiclassical Keldysh theory, the Green function matrix g<cb><2021> is used to compute a variety of physical quantities in mesoscopic systems. However, solving the set of non-linear differential equations that provide g<cb><2021> becomes a challenging task when going to higher spatial dimensions than one. Such an extension is crucial in order to describe physical phenomena like charge/spin Hall effects and topological excitations like vortices and skyrmions, none of which can be captured in one-dimensional models. We here present a numerical finite element method which solves the 2D and 3D quasiclassical Usadel equation, without any linearisation, relevant for the diffusive regime. We show the application of this on two model systems with non-trivial geometries: (i) a bottlenecked Josephson junction with external flux and (ii) a nanodisk ferromagnet deposited on top of a superconductor. We demonstrate that it is possible to control externally not only the geometrical array in which superconducting vortices arrange themselves, but also to cause coalescence and thus tune the number of vortices. The finite element method presented herein could pave the way for gaining insight in physical phenomena which so far have remained largely unexplored due to the complexity of solving the full quasiclassical equations in higher dimensions. |
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1066 |
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Zhang, W.; Miao, W.; Zhong, J. Q.; Shi, S. C.; Hayton, D. J.; Vercruyssen, N.; Gao, J. R.; Goltsman, G. N. |
Title |
Temperature dependence of superconducting hot electron bolometers |
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Conference Article |
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2013 |
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Not published results: 24th international symposium on space terahertz technology |
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HEB |
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Groningen,The Netherlands |
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1067 |
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Semenov, A. V.; Devyatov, I. A.; Ryabchun, S. A.; Maslennikov, S. N.; Maslennikova, A. S.; Larionov, P. A.; Voronov, B. M.; Chulkova, G. M. |
Title |
Absorption of terahertz electromagnetic radiation in dirty superconducting film at arbitrary type of the spectral functions |
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Journal Article |
Year |
2011 |
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Rus. J. Radio Electron. |
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Rus. J. Radio Electron. |
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10 |
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terahertz electromagnetic radiation; superconductors; detectors of terahertz range |
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A problem of absorption of high-frequency electromagnetic field in dirty superconductor is treated within Keldysh technic. Expression for the source term in the kinetic equation for quasiparticle distribution function is derived. The result is significant for deriving a consistent microscopic theory of superconducting detectors for terahertz frequency range, perspective detectors on kinetic inductance of current-biased superconducting strip and on Josephson inductance of tunnel. |
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7 pages |
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1117 |
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Лесс, Ю. А.; Кирсанов, Ю. А. |
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Былое и думы. Посвящение эпохе Н. Н. Малова, Е. М. Гершензона, В. С. Эткина |
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Miscellaneous |
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2015 |
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ПРФЛ |
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физфак МПГУ, физфак МГПИ, ПРФЛ |
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1132 |
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Author |
Столяров, А. В. |
Title |
Программирование. Введение в профессию. Том 1. Азы программирования |
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Book Whole |
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2016 |
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МАКС Пресс |
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programming, computer science |
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Первый том серии «Программирование: введение в профессию» включает две основные части. В первую часть книги вошли избранные сведения из истории вычислительной техники, обсуждение некоторых областей математики, непосредственно используемых программистами (таких как алгебра логики, комбинаторика, позиционные системы счисления), математических основ программирования (теория вычислимости и теория алгоритмов), принципы построения и функционирования вычислительных систем, начальные сведения о работе с командной строкой ОС Unix. Вторая часть посвящена начальным навыкам составления компьютерных программ на примере Free Pascal под ОС Unix. Материал ориентирован на изучение в будущем языка Си, так что, в частности, много внимания уделено работе с адресами и указателями, построению списков и других динамических структур данных; в то же время многие возможности Паскаля из рассмотрения исключены. Даются сведения о правилах оформления текстов программ, о тестировании и отладке. |
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Москва |
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978-5-317-05222-5 |
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1133 |
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