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We introduce a new model for a pairwise repulsive interaction potential of vortices in a type-II superconductor, consisting of superimposed six- and 12-fold anisotropies. Using numerical simulations we study how the vortex lattice…

Superconductivity · Physics 2024-04-23 M. W. Olszewski , M. R. Eskildsen , C. Reichhardt , C. J. O. Reichhardt

The vortex dynamics of a d+is-wave superconductor is studied numerically by simulating the time-dependent Ginzburg-Landau equations. The critical fields, the free flux flow, and the flux flow in the presence of twin-boundaries are…

Superconductivity · Physics 2009-10-31 Qunqing Li , Z. D. Wang , Qiang-Hua Wang

We develop a theory for dislocation-mediated structural transitions in the vortex lattice which allows for a unified description of phase transitions between the three phases, the elastic vortex glass, the amorphous vortex glass, and the…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. Kierfeld , V. Vinokur

A magnetic inclusion inside a superconductor gives rise to a fascinating complex of {\it vortex loops}. Our calculations, done in the framework of the Ginzburg-Landau theory, reveal that {\it loops always nucleate in triplets} around the…

Superconductivity · Physics 2007-12-27 Mauro M. Doria , Antonio R. de C. Romaguera , M. V. Milošević , F. M. Peeters

In the first part of this review paper, the time-dependent Ginzburg-Landau theory is derived starting from the microscopic BCS model with the help of a derivative expansion. Special attention is paid to two space dimensions, where the…

Condensed Matter · Physics 2007-05-23 Adriaan M. J. Schakel

Vortex matter phase transitions in the high-temperature superconductor Bi2Sr2CaCu2O8 were studied using local magnetization measurements combined with a vortex 'shaking' technique. The measurements revealed thermodynamic evidence of a…

The structure of a single flux line in (s+d)-wave superconductors has been analyzed within the Ginzburg-Landau (GL) model generalized for two order parameter components. The fourfold symmetric singular vortex solution is shown to be…

Superconductivity · Physics 2009-10-31 A. S. Mel'nikov , I. M. Nefedov , D. A. Ryzhov , I. A. Shereshevskii , P. P. Vysheslavtsev

Sufficiently thin films of type-I superconductor in a perpendicular magnetic field exhibit a triangular vortex lattice, while thick films develop an intermediate state. To elucidate what happens between these two regimes, precise numerical…

Superconductivity · Physics 2011-01-06 Mark C. Sweeney , Martin P. Gelfand

The present work deals with the study of d-wave superconductor in presence of a single vortex placed at the centre of the 2D lattice using the $t-t'-J$ model within the renormalized mean field theory. It is found that the in absence of the…

Strongly Correlated Electrons · Physics 2012-05-09 Sanjay Gupta

Measurements of the $^{17}$O nuclear magnetic resonance (NMR) quadrupolar spectrum of apical oxygen in HgBa$_{2}$CuO$_{4+\delta}$ were performed over a range of magnetic fields from 6.4 to 30\,T in the superconducting state. Oxygen isotope…

Superconductivity · Physics 2017-02-01 Jeongseop A. Lee , Yizhou Xin , I. Stolt , W. P. Halperin , A. P. Reyes P. L. Kuhns , M. K. Chan

We complete our study of the three dimensional Ginzburg--Landau functional with magnetic field, in the asymptotic regime of a small inverse Ginzburg--Landau parameter $\varepsilon$, and near the first critical field $H_{c_1}$ for which the…

Analysis of PDEs · Mathematics 2025-10-20 Carlos Román , Etienne Sandier , Sylvia Serfaty

Vortex lattice states occurring in noncentrosymmetric superconductors with the spin-orbit coupling of Rashba type under a magnetic field parallel to the symmetry plane are examined by assuming the $s$-wave pairing case and in an approach…

Superconductivity · Physics 2015-10-14 Yuichiro Dan , Ryusuke Ikeda

We consider the ground state configurations of the Josephson vortex lattice in layered superconductors. Due to commensurability effects with the layered structure, the lattice has multiple configurations, both aligned with layers and…

Superconductivity · Physics 2007-05-23 A. E. Koshelev

It was recently shown that conventional phonon-electron interactions induce triplet pairing states in time-reversal invariant 3D Dirac semi - metals provided magnetic impurities or exchange interactions are strong enough?. The order…

Superconductivity · Physics 2015-02-02 Baruch Rosenstein , Boris Ya. Shapiro , Irina Shapiro

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

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 Ginzburg-Landau equations for magnetic and gluomagnetic gauge fields of the semi-superfluid strings in the color superconducting core of the neutron star with diquark condensate in the color-flavor-locking (CFL) phase are derived. The…

High Energy Physics - Phenomenology · Physics 2009-01-06 D. M. Sedrakian , D. Blaschke , K. M. Shahabasyan , M. K. Shahabasyan

In planar superconductor thin films, the places of nucleation and arrangements of moving vortices are determined by structural defects. However, various applications of superconductors require reconfigurable steering of fluxons, which is…

Superconductivity · Physics 2024-01-02 Igor Bogush , Oleksandr V. Dobrovolskiy , Vladimir M. Fomin

We show that under an a.c. magnetic field excitation the vortex lattice in a superconductor with periodic array of holes can undergo a transition from a Mott-like state where each vortex is localized in a hole, to a metal-like state where…

In multiband superconductors, each superconducting condensate supports vortices with fractional quantum flux. In the ground state, vortices in different bands are spatially bounded together to form a composite vortex, carrying one quantum…

Superconductivity · Physics 2013-02-22 Shi-Zeng Lin , Lev N. Bulaevskii