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Destruction of the vortex lattice by random point pinning is considered as a mechanism of the ``second peak'' transition observed experimentally in weakly coupled layered high temperature superconductors. The transition field separating the…

Superconductivity · Physics 2009-10-31 A. E. Koshelev , V. M. Vinokur

The structure and equilibrium properties of a two-dimensional system of superconducting vortices in a periodic pinning potential with square symmetry are studied numerically. For a range of the strength of the pinning potential, the…

Superconductivity · Physics 2009-11-07 Toby Joseph , Chandan Dasgupta

The local density of states (LDOS) around a vortex core is studied theoretically in terms of the odd-frequency (odd-omega) Cooper pairing induced around the center of the vortex core. We find a robust zero-energy peak in the LDOS at a…

Superconductivity · Physics 2009-11-13 Y. Tanuma , N. Hayashi , Y. Tanaka , A. A. Golubov

The pinning and collective unpinning of superfluid vortices in a decelerating container is a key element of the canonical model of neutron star glitches and laboratory spin-down experiments with helium II. Here the dynamics of vortex…

Other Condensed Matter · Physics 2012-03-26 L. Warszawski , A. Melatos , N. Berloff

Understanding the effect of pinning on the vortex dynamics in superconductors is a key factor towards controlling critical current values. Large-scale simulations of vortex dynamics can provide a rational approach to achieve this goal.…

Superconductivity · Physics 2017-02-09 I. A. Sadovskyy , Y. L. Wang , Z. -L. Xiao , W. -K. Kwok , A. Glatz

Recently, one analog of the Anderson's Theorem for the $s$-wave superconductor has attracted much interest in the context of the $p$-wave polar pairing state of superfluid $^3$He in a model aerogel in the limit of strong uniaxial…

Other Condensed Matter · Physics 2020-03-18 Tomohiro Hisamitsu , Masaki Tange , Ryusuke Ikeda

The pair-potential and current density around a single vortex of the two-dimensional chiral p-wave superconductor with ${\mib d}={\mib z}(p_x \pm \iu p_y)$ are determined self-consistently within the quasiclassical theory of…

Superconductivity · Physics 2009-11-07 Yusuke Kato , Nobuhiko Hayashi

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

At the nucleus of a superconducting vortex is a small, circular region where superconductivity is destroyed. Like an atomic nucleus, this core may become deformed, and such distortions can have important consequences in non-equilibrium…

Superconductivity · Physics 2007-05-23 D. J. Priour , H. A. Fertig

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…

The bound states around a vortex in anisotropic superconductors is a longstanding yet important issue. In this work, we develop a variational theory on the basis of the Andreev approximation to obtain the energy levels and wave functions of…

Superconductivity · Physics 2024-05-28 Ke Xiang , Da Wang , Qiang-Hua Wang

The effect of weak anisotropic (momentum-dependent) impurity scattering in unconventional superconductors has been investigated. It is shown that the anisotropic scattering can lead either to a small reduction or a small enhancement of the…

Superconductivity · Physics 2009-10-28 Grzegorz Haran , A. D. S. Nagi

We study vortices in p-wave superconductors in a Ginzburg-Landau setting. The state of the superconductor is described by a pair of complex wave functions, and the p-wave symmetric energy functional couples these in both the kinetic…

Analysis of PDEs · Mathematics 2014-11-18 Stan Alama , Lia Bronsard , Xavier Lamy

Competing pairing channels have been proposed in superfluid $^3$He, in the high temperature cuprate superconductors, and pnictide superconductors. While strong experimental support exists for this in superfluid $^3$He, the case for…

Superconductivity · Physics 2011-06-16 S. Mukherjee , D. F. Agterberg

We demonstrate a novel method of experimentally addressing the pinning energy of an Abrikosov vortex in high-temperature superconducting thin films. The method is based on our previously published theoretical framework considering the…

Superconductivity · Physics 2025-06-30 Elmeri O. Rivasto

We derive augmented quasiclassical equations of superconductivity with the Lorentz force in the Matsubara formalism so that the charge redistribution due to supercurrent can be calculated quantitatively. Using it, we obtain an analytic…

Superconductivity · Physics 2016-05-03 Hikaru Ueki , Wataru Kohno , Takafumi Kita

Material defects in hard type II superconductors pin the flux lines and thus establish the dissipation-free current transport in the presence of a finite magnetic field. Depending on the density and pinning force of the defects and the…

Superconductivity · Physics 2009-11-10 G. Blatter , V. B. Geshkenbein , J. A. G. Koopmann

We show that the Cooper pair wave function at the center of an Abrikosov vortex with vorticity m has different parity with respect to frequency from that in the bulk if m is an odd number and has the same parity if m is an even number. As a…

Superconductivity · Physics 2009-11-13 Takehito Yokoyama , Yukio Tanaka , Alexander A. Golubov

We carry out a microscopic study of a vortex lattice in a strongly correlated, type-II, d-wave superconductor(SC) using Bogoliubov de Gennes (BDG) formalism. In weak-coupling theory, commonly accepted truism is that a vortex binds to…

Superconductivity · Physics 2025-05-06 Chiranjit Mahato , Kun Yang , Amit Ghosal

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
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