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Thermodynamics of type II superconductors in electromagnetic field based on the Ginzburg - Landau theory is presented. The Abrikosov flux lattice solution is derived using an expansion in a parameter characterizing the "distance" to the…

Superconductivity · Physics 2015-05-13 Baruch Rosenstein , Dingping Li

We investigate the stability of the square vortex lattice which has been recently observed in experiments on the borocarbide family of superconductors. Taking into account the tetragonal symmetry of these systems, we add fourfold symmetric…

Superconductivity · Physics 2009-10-31 Kyungwha Park , David A. Huse

We propose a finite temperature Landau theory that describes competing orders and interlayer tunneling in cuprate superconductors as an important extension to a corresponding theory at zero temperature [Nature {\bf 428}, 53 (2004)], where…

Superconductivity · Physics 2009-11-11 Jian-Bao Wu , Ming-Xu Pei , Qiang-Hua Wang

We have numerically investigated the dynamics of vortices in a clean layered superconductor placed in a perpendicular magnetic field. We describe the energetics using a Ginzburg-Landau free energy functional in the lowest Landau level…

Superconductivity · Physics 2007-05-23 W. A. Al-Saidi , D. Stroud

We study the three-dimensional Ginzburg-Landau model of superconductivity for strong applied magnetic fields varying between the second and third critical fields. In this regime, it is known from physics that superconductivity should be…

Analysis of PDEs · Mathematics 2019-03-27 Søren Fournais , Jean-Philippe Miqueu , Xing-Bin Pan

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

The Meissner effect for superconductors in spacetimes with torsion is revisited. Two new physical interpretations are presented. The first considers the Landau-Ginzburg theory yields a new symmetry-breaking vacuum depending on torsion. In…

Condensed Matter · Physics 2016-08-31 L. C. Garcia de Andrade

Using a linear analysis, we study the stability of giant-vortex states in very thin disks. The vortex expulsion and penetration fields are obtained for finite thickness disks from a numerical solution of the non-linear Ginzburg-Landau (GL)…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 V. A. Schweigert , F. M. Peeters

Using large scale quantum Monte Carlo simulations of lattice bosonic models, we precisely investigate the effect of weak Josephson tunneling between 2D superfluid or superconducting layers. In the clean case, the Kosterlitz-Thouless…

Strongly Correlated Electrons · Physics 2012-10-05 Nicolas Laflorencie

The superconductive phase transition in the Ginzburg-Landau theory (or Coulomb-Higgs phase transition of scalar QED in 3D) is discussed in a dual formulation which focuses on the magnetic rather than the electric excitations of the system.…

supr-con · Physics 2008-02-03 Hagen Kleinert , Adriaan Schakel

Monte Carlo simulations of the uniformly frustrated 3d XY model are used to model vortex line fluctuations in high temperature superconductors in an applied magnetic field. We find two distinct phase transitions. At a lower T_{c\perp}, the…

Condensed Matter · Physics 2009-10-22 Ying-Hong Li , S. Teitel

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

By using the full 3D generalized time dependent Ginzbug-Landau equation we study a long superconducting film of finite width and thickness under an applied transport current. We show that, for sufficiently large thickness, the vortices and…

We establish a new interstitial-vacancy unbinding transition of the Berezinskii-Kosterlitz-Thouless type, transforming the three dimensional pancake vortex lattice of a decoupled layered superconductor into a defected solid. This transition…

Superconductivity · Physics 2009-10-31 Matthew J. W. Dodgson , Vadim B. Geshkenbein , Gianni Blatter

We study the vortex state in a magnetic field parallel to the $c$ axis in the framework of the extended Ginzburg Landau equation. We find the vortex acquires a fourfold modulation proportional to $\cos(4\phi)$ where $\phi$ is the angle…

Superconductivity · Physics 2009-10-31 Jun'ichi Shiraishi , Mahito Kohmoto , Kazumi Maki

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

This article presents a phenomenological dynamic phase transition theory -- modeling and analysis -- for superfluids. As we know, although the time-dependent Ginzburg-Landau model has been successfully used in superconductivity, and the…

Statistical Mechanics · Physics 2009-03-12 Tian Ma , Shouhong Wang

We study, within the Ginzburg-Landau (GL) theory of phase transitions, how elastic deformations in a supersolid lead to local changes in the supersolid transition temperature. The GL theory is mapped onto a Schrodinger-type equation with an…

Other Condensed Matter · Physics 2011-06-03 T. Arpornthip , A. V. Balatsky , M. Graf , Z. Nussinov

We study the effects of an $ab$-surface on the vortex-solid to vortex-liquid transition in layered superconductors in the limit of vanishing inter-layer Josephson coupling. We derive the interaction between pancake vortices in a…

Superconductivity · Physics 2009-11-11 A. De Col , G. I. Menon , V. B. Geshkenbein , G. Blatter

Motivated by a recent argument that the superconducting (SC) transition field of three-dimensional (3D) disordered superconductors with granular structure in a nonzero magnetic field should lie above $H_{c2}(0)$ in low $T$ limit, the glass…

Superconductivity · Physics 2009-11-11 Ryusuke Ikeda