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The dynamic melting of vortex lattices in type II superconductors is considered. A field-theoretic formulation of the pinning problem allows the average over the quenched disorder to be performed exactly. A self-consistent theory is…

Superconductivity · Physics 2007-05-23 Staffan Grundberg , Jørgen Rammer

Using the time-dependent Ginzburg-Landau equation with the complex relaxation time and the Maxwell equation, we systematically examine transverse motion of vortex dynamics in the presence of pinning disorders. Consequently, in a plastic…

Superconductivity · Physics 2009-08-21 N. Nakai , N. Hayashi , M. Machida

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

We study effects of pinning on the dynamics of a vortex lattice in a type II superconductor in the strong-pinning situation and determine the force--velocity (or current--voltage) characteristic combining analytical and numerical methods.…

Superconductivity · Physics 2017-11-08 A. U. Thomann , V. B. Geshkenbein , G. Blatter

We argue that the motion of vacancies in a pinned vortex lattice may dominate the contribution to the Hall effect in an appropriate parameter regime for a superconductor. Based on this consideration a model is constructed to explain the…

Condensed Matter · Physics 2016-08-31 Ping Ao

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

A serious obstacle that impedes the application of low and high temperature superconductor (SC) devices is the presence of trapped flux. Flux lines or vortices are induced by fields as small as the Earth's magnetic field. Once present,…

Superconductivity · Physics 2009-10-31 Choongseop Lee , Boldizsar Janko , Imre Derenyi , Albert-Laszlo Barabasi

We study numerically the glass formation and depinning transition of a system of two-dimensional cluster-forming monodisperse particles in presence of pinning disorder. The pairwise interaction potential is nonmonotonic, and is motivated by…

Soft Condensed Matter · Physics 2021-11-10 Wenlong Wang , Rogelio Díaz-Méndez , Mats Wallin , Jack Lidmar , Egor Babaev

We explore the effect of varying drive on metastability features exhibited by the vortex matter in single crystals of 2H-NbSe$_2$ and CeRu$_2$ with varying degree of random pinning. An optimal balance between the pinning and driving force…

Superconductivity · Physics 2009-11-11 A. D. Thakur , S. S. Banerjee , M. J. Higgins , S. Ramakrishnan , A. K. Grover

We explore the effects of sample dimensionality on vortex pinning in a type-II, low-$T_C$, s-wave superconductor, NbN, in the presence of a perpendicular magnetic field, $H$. We find significant differences in the phase diagrams in the…

We study thermal effects on pinning and creep in type-II superconductors where vortices interact with a low density $n_p$ of strong point-like defects with pinning energy $e_p$ and extension $\xi$, the vortex core size. Defects are…

Superconductivity · Physics 2019-07-10 Martin Buchacek , Vadim B. Geshkenbein , Roland Willa , Gianni Blatter

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

We study vortex charging caused by the Lorentz force on supercurrent based on the augmented quasiclassical equa- tions of superconductivity. Our numerical study on an s-wave vortex lattice in the range $H_{{\rm{c}}1} < H < H_{{\rm{c}}2}$…

Superconductivity · Physics 2016-08-03 Wataru Kohno , Hikaru Ueki , Takafumi Kita

As shown in recent experiments [Auslaender et al., Nature Physics 5, 35 (2009)] magnetic force microscopy permits one not only to image but also to manipulate an individual vortex in type-II superconductors, and this manipulation provides a…

Superconductivity · Physics 2015-05-13 E. H. Brandt , G. P. Mikitik , E. Zeldov

The anomalous Hall effect in type-II conventional and high-Tc superconductors is investigated based on the proposed novel theory of the thermally activated motion of vortex bundles over a directional-dependent energy barrier. Our…

Superconductivity · Physics 2007-05-23 Wei Yeu Chen , Ming Ju Chou

The Langevin equation for a two-dimensional (2D) nonlinear guided vortex motion in a tilted cosine pinning potential in the presence of an ac is exactly solved in terms of a matrix continued fraction at arbitrary value of the Hall effect.…

Superconductivity · Physics 2010-06-17 Valerij A. Shklovskij , Oleksandr V. Dobrovolskiy

Type II superconductors exhibit a fascinating phenomenology that is determined by the dynamical properties of the vortex matter hosted by the material. A crucial element in this phenomenology is vortex pinning by material defects, e.g.,…

Superconductivity · Physics 2020-11-25 Martin Buchacek , Vadim B. Geshkenbein , Gianni Blatter

We study the effect of a single columnar pin on a $(1+1)$ dimensional array of vortex lines in planar type II superconductors in the presence of point disorder. In large samples, the pinning is most effective right at the temperature of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Anatoli Polkovnikov , Yariv Kafri , David R. Nelson

The vortex-lattice melting line in three-dimensional type-II superconductors with pinning is derived by equating the free energies of the vortex system in the solid and liquid phases. We account for the elastic and pinning energies and the…

Superconductivity · Physics 2009-11-10 G. P. Mikitik , E. H. Brandt

Studies involving vortex dynamics and their interaction with pinning centers are an important ingredient to reach higher critical currents in superconducting materials. The vortex distribution around arrays of engineered defects, such as…

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