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We carry out simulations of the anisotropic uniformly frustrated 3D XY model, as a model for vortex line fluctuations in high Tc superconductors. We compute the phase diagram as a function of temperature and anisotropy, for a fixed applied…

Superconductivity · Physics 2009-10-28 Tao Chen , S. Teitel

We consider extreme type-II superconductors modeled by the Ginzburg--Landau energy with a pinning term $a_\varepsilon(x)$, which we assume to be a bounded measurable function such that $b\leq a_\varepsilon(x)\leq 1$ for some constant $b>0$.…

Analysis of PDEs · Mathematics 2024-10-31 Matías Díaz-Vera , Carlos Román

A superconductor is influenced by an applied magnetic field. Close to the transition temperature $T_{c}$ fluctuations dominate and the correlation length $\xi $ increases strongly when $T_{c}$ is approached. However, for nonzero magnetic…

Superconductivity · Physics 2007-05-23 T. Schneider

We study the vortex-line lattice and liquid phases of a clean type-II superconductor by means of Monte Carlo simulations of the lattice London model. Motivated by a recent controversy regarding the presence, within this model, of a…

Superconductivity · Physics 2009-10-30 T. J. Hagenaars , E. H. Brandt , R. E. Hetzel , W. Hanke , M. Leghissa , G. Saemann-Ischenko

We study the interplay between a novel vortex-loop unbinding in finite magnetic field at T=T_V and flux-line lattice (FLL) melting at T=T_M in type-II superconductors. The FLL melts due to nucleation of vortex loops parallel to c-axis,…

Condensed Matter · Physics 2009-10-28 Anh Kiet Nguyen , A. Sudbo , R. E. Hetzel

We use Time-Dependent Ginzburg-Landau theory to study the nucleation of vortices in type II superconductors in the presence of both geometric and material inhomogeneities. The superconducting Meissner state is meta-stable up to a critical…

Computational Physics · Physics 2020-04-29 Alden R. Pack , Jared Carlson , Spencer Wadsworth , Mark K. Transtrum

The mixed phase of extremely type-II layered superconductors in perpendicular magnetic field is studied theoretically via the layered XY model with uniform frustration. A partial duality analysis is carried out in the weak-coupling limit.…

Superconductivity · Physics 2008-12-18 J. P. Rodriguez

Recent experiments on the Iron-based superconductor FeSe in a high magnetic field have suggested the presence of both the fluctuation-induced vortex liquid regime and a Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) vortex lattice. To get a…

Superconductivity · Physics 2022-07-13 Dai Nakashima , Ryusuke Ikeda

The flux lattice melting temperature in optimally doped YBCO has been shown to be very close to that of the onset of fluctuations around H_{c2}(T). Here, we present a theoretical argument in support of the idea that this occurs because the…

Superconductivity · Physics 2009-10-31 Stephen W. Pierson , Oriol T. Valls

We present a theory of vortex liquid-to-solid transition in homogeneous quasi 2D superconductors. The free energy is written as a functional l of density of zeroes of the fluctuating order parameter. The transition is weakly first-order and…

Condensed Matter · Physics 2009-10-22 Igor Herbut , Zlatko Tesanovic

By using transport and magnetic measurement, the upper critical field $H_{c2}(T)$ and the irreversibility line $H_{irr}(T)$ has been determined. A big separation between $H_{c2}(0)$ and $H_{irr}(0)$ has been found showing the existence of a…

Superconductivity · Physics 2009-11-07 H. H. Wen , S. L. Li , Z. W. Zhao , Y. M. Ni , Z. A. Ren , G. C. Che , H. P. Yang , Z. Y. Liu , Z. X. Zhao

We show that some experimentally observed features of vortex matter in high temperature superconductors may be interpreted in simpler ways than it is usually done. In particular, we consider magnetic flux creep at low temperatures as well…

Superconductivity · Physics 2007-05-23 I. L. Landau , H. R. Ott

In this paper we analyze the structure, phase transitions and some transport properties of the vortex system when the external magnetic field lies parallel to the planes in layered superconductors. We show that experimental results for…

Superconductivity · Physics 2009-10-31 M. F. Laguna , D. Dominguez , C. A. Balseiro

In this work we solved the time dependent Ginzburg-Landau equations to simulate homogeneous superconducting samples with square geometry for several lateral sizes. As a result of such simulations we notice that in the Meissner state, when…

Superconductivity · Physics 2013-10-14 A. Presotto , E. Sardella , R. Zadorosny

We present an exact mathematical description of the Meissner effect and of the vortex state in periodic thin-layer superconductor/insulator structures with an arbitrary number of identical junctions N-1 (N is the number of superconducting…

Superconductivity · Physics 2007-05-23 Sergey V. Kuplevakhsky

Vortices in a type-II superconductor form a lattice structure that melts when the thermal displacement of the vortices is an appreciable fraction of the distance between vortices. In an anisotropic high-Tc superconductor, such as YBa2Cu3Oy,…

Vortex motion in type II superconductors is studied starting from a variant of the time dependent Ginzburg-Landau equations, in which the order parameter relaxation time is taken to be complex. Using a method due to Gor'kov and Kopnin, we…

Condensed Matter · Physics 2008-11-26 Alan T. Dorsey

The state of the vortex lattice extremely close to the superconducting to normal transition in an applied magnetic field is investigated in high purity niobium. We observe that thermal fluctuations of the order parameter broaden the…

Superconductivity · Physics 2010-10-15 C. J. Bowell , R. J. Lycett , M. Laver , C. D. Dewhurst , R. Cubitt , E. M. Forgan

We theoretically investigate the vortex spin Hall effect, i.e., a novel spin Hall effect driven by the motion of superconducting vortices, by focusing on the role of superconducting fluctuations. Within the BCS-Gor'kov microscopic approach…

Superconductivity · Physics 2021-04-15 Takuya Taira , Yusuke Kato , Masanori Ichioka , Hiroto Adachi

Magnetic flux trapping in the Meissner transition of superconducting radio frequency cavities can substantially increase dissipation which impacts cryogenic costs and necessitates expensive magnetic shielding. Recent findings point at the…

Accelerator Physics · Physics 2021-03-12 A. Ivanov , T. Koettig , A. Macpherson