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Related papers: Toward superconducting critical current by design

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This article is concerned with the integration of the time-dependent Ginzburg-Landau (TDGL) equations of superconductivity. Four algorithms, ranging from fully explicit to fully implicit, are presented and evaluated for stability, accuracy,…

Numerical Analysis · Mathematics 2025-10-20 D. O. Gunter , H. G. Kaper , G. K. Leaf

On the basis of the time-dependent Ginzburg-Landau equation we studied the dynamics of the superconducting condensate in a wide two-dimensional sample in the presence of a perpendicular magnetic field and applied current. We could identify…

Superconductivity · Physics 2009-11-10 D. Vodolazov , B. J. Baelus , F. M. Peeters

V(I) characteristics have been performed in a monocrystalline microbridge of $Bi[Pb]-2212$. The vortex phase diagram has been greatly investigated. Linear but non-ohmic Voltage(Current) (V(I)) curves with well defined critical current have…

Superconductivity · Physics 2009-11-10 A. Pautrat , Ch. Simon , J. Scola , C. Goupil , A. Ruyter , L. Ammor , P. Thopart , D. Plessis

Diodes have a nonreciprocal voltage versus current relationship, produced by breaking the space and time reversal symmetry. However, developing high-end superconducting computers requires a superconducting analogue of the traditional…

Superconductivity · Physics 2025-10-03 Cliff Sun , Ziqi Zhao , Alexey Bezryadin

We examine the behavior of a one-dimensional superconducting wire exposed to an applied electric current. We use the time-dependent Ginzburg-Landau model to describe the system and retain temperature and applied current as parameters.…

Superconductivity · Physics 2009-11-13 J. rubinstein , P. Sternberg , Q. Ma

Using the non-linear Ginzburg-Landau (GL) theory, we obtain the possible vortex configurations in superconducting thin films containing a square lattice of antidots. The equilibrium structural phase diagram is constructed which gives the…

Superconductivity · Physics 2016-08-16 G. R. Berdiyorov , M. V. Milošević , F. M. Peeters

We study a mixed heat and Schr\"odinger Ginzburg-Landau evolution equation on a bounded two-dimensional domain with an electric current applied on the boundary and a pinning potential term. This is meant to model a superconductor subjected…

Analysis of PDEs · Mathematics 2015-05-18 Sylvia Serfaty , Ian Tice

We propose a superconducting diode device comprising a central superconducting film flanked by two wires carrying an applied DC bias, suitably chosen so as to generate different asymmetric field profiles. Through numerical simulations of…

Superconductivity · Physics 2024-05-24 Leonardo Rodrigues Cadorim , Edson Sardella , Clécio Clemente de Souza Silva

In this work we explore the interplay between superconductivity and nematicity in the framework of a Ginzburg Landau theory with a nematic order parameter coupled to the superconductor order parameter, often used in the description of…

The modified Ginzburg-Landau equations are used to study some fundamental problems for the high temperature superconductors. The derivations of these fundamental equations are summarized and the layered features of the sample were taken…

Superconductivity · Physics 2009-11-10 L. N. Shehata , H. M. Taha

In the present paper, we study the superconducting wire. It is known from Maxwell equations that the current creates magnetic field that suppresses superconductivity and wire starts to conduct with resistance. We consider the time dependent…

Superconductivity · Physics 2025-04-01 Naoum Karchev

The high-T_c glass model can be combined with the repulsive tt'--Hubbard model as microscopic description of the striped domains found in the high-T_c materials. In this picture the finite Hubbard clusters are the origin of the d-wave…

Superconductivity · Physics 2015-06-25 Ingo Morgenstern , Werner Fettes , Thomas Husslein

We examine the formation of vortices during the nonequilibrium relaxation of a high-temperature initial state of an Abelian-Higgs system. We equilibrate the scalar and gauge fields using gauge-invariant Langevin equations and relax the…

Superconductivity · Physics 2011-07-19 G. J. Stephens , Luis M. A. Bettencourt , W. H. Zurek

A new description is proposed for the low-field critical behavior of type-II superconductors. The starting point is the Ginzburg-Landau theory in presence of an external magnetic field H. A set of fictitious vortex variables and a singular…

Condensed Matter · Physics 2009-10-28 Zlatko Tesanovic

It is shown that integration of a thin film superconducting strip with current-carrying control wires enables one to engineer a profile of supercurrent density $J(x)$ with no current crowding at the edges of a strip wider than the magnetic…

Superconductivity · Physics 2026-05-04 Alex Gurevich

This paper presents a methodology for model based robust fault diagnosis and a methodology for input design to obtain optimal diagnosis of faults. The proposed algorithm is suitable for real time implementation. Issues of robustness are…

Systems and Control · Computer Science 2020-01-16 Dhruv Khandelwal , Siep Weiland , Amol Khalate

Small-angle neutron scattering is used in combination with transport measurements to investigate the current-induced effects on the morphology of the intermediate mixed state domains in the intertype superconductor niobium. We report the…

Superconductivity · Physics 2022-02-02 X. S. Brems , S. Mühlbauer , W. Y. Córdoba-Camacho , A. A. Shanenko , A. Vagov , R. Cubitt

We simulate the ordering of vortices and its effects on the critical current in superconductors with varied vortex-vortex interaction strength and varied pinning strengths for a two-dimensional system. For strong pinning the vortex lattice…

Superconductivity · Physics 2009-10-31 C. J. Olson , C. Reichhardt , S. Bhattacharya

Two-dimensional superfluidity and quantum turbulence are directly connected to the microscopic dynamics of quantized vortices. However, surface effects have prevented direct observations of coherent vortex dynamics in strongly-interacting…

The critical dynamics of superconductors is studied using renormalization group and duality arguments. We show that in extreme type II superconductors the dynamic critical exponent is given exactly by $z=3/2$. This result does not rely on…

Superconductivity · Physics 2007-05-23 Flavio S. Nogueira , Dirk Manske
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