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Related papers: Vortex lattice transition in D-wave superconductor…

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The giant vortex states of a multiply connected superconductor, with radius comparable to the penetration depth and the coherence length, are theoretically investigated based on the nonlinear Ginzburg-Landau theory, in which the induced…

Superconductivity · Physics 2007-05-23 Hu Zhao , Shi-jie Yang , Shiping Feng

We demonstrate that the transition from the high-field state to the vortex state in a nanomagnetic disk shows the magnetic equivalent of supercooling. This is evidence that this magnetic transition can be described in terms of a modified…

Mesoscale and Nanoscale Physics · Physics 2013-05-14 J. P. Davis , D. Vick , J. A. J. Burgess , D. C. Fortin , P. Li , V. Sauer , W. K. Hiebert , M. R. Freeman

The d-wave vortex lattice state is studied within the framework of Bogoliubov-de Gennes (BdG) mean field theory. We allow antiferromagnetic (AFM) order to develop self-consistently along with d-wave singlet superconducting (dSC) order in…

Superconductivity · Physics 2009-11-07 Amit Ghosal , Catherine Kallin , A. John Berlinsky

We calculate the quasiparticle contribution to the zero temperature Hall conductance of two-dimensional extreme type-II superconductors in a high magnetic field, using the Landau basis. As one enters the superconducting phase the Hall…

Superconductivity · Physics 2009-10-31 P. D. Sacramento

The time-dependent Ginzburg-Landau approach is used to investigate nonlinear response of a strongly type-II superconductor. The dissipation takes a form of the flux flow which is quantitatively studied beyond linear response. Thermal…

Superconductivity · Physics 2015-05-18 Bui Duc Tinh , Dingping Li , Baruch Rosenstein

The electronic nematic phase is characterized as an ordered state of matter with rotational symmetry breaking, and has been well studied in the quantum Hall system and the high-$T_c$ superconductors, regardless of cuprate or pnictide…

Superconductivity · Physics 2018-02-20 Da-Chuan Lu , Yang-Yang Lv , Jun Li , Bei-Yi Zhu , Qiang-Hua Wang , Hua-Bing Wang , Pei-Heng Wu

The ground state with vorticity larger than one in mesoscopic superconductors in applied magnetic field may manifest as a `giant'-vortex, where all vortices coalesce into a single singularity of the order parameter. Such a multi-quanta…

Superconductivity · Physics 2011-07-04 Ben Xu , M. V. Milošević , Shi-Hsin Lin , F. M. Peeters , B. Jankó

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

Self-consistent solutions of the Ginzburg-Landau system of equations, which describe the order parameter and the magnetic field distribution in a long superconducting cylinder of finite radius R, in external magnetic field H, when vortex…

Superconductivity · Physics 2007-05-23 G. F. Zharkov , V. G. Zharkov , A. Yu. Zvetkov

The transitions between the different vortex states of thin mesoscopic superconducting disks and rings are studied using the non-linear Ginzburg-Landau functional. They are saddle points of the free energy representing the energy barrier…

Superconductivity · Physics 2009-10-31 B. J. Baelus , F. M. Peeters , V. A. Schweigert

We develop a comprehensive Ginzburg-Landau theory describing triple-Q magnetic orders on hexagonal lattices, focusing on $O(N)$ models with $N=2$ and $N=3$. Through systematic analysis of symmetry-allowed terms in the free energy, we…

Strongly Correlated Electrons · Physics 2025-12-23 Jin-Tao Jin , Yi Zhou

YBa$_2$Cu$_3$O$_7$ (YBCO) exhibits a large anisotropy between the $a$ and $b$ axes in the CuO$_2$ planes because of the presence of CuO chains. In order to account for such an anisotropy we develop a Ginzburg-Landau (GL) theory for an…

Condensed Matter · Physics 2007-05-23 Ji-Hai Xu , Yong Ren , C. S. Ting

The dynamics of tilted vortex lines in Josephson-coupled layered superconductors is considered within the time-dependent Ginzburg-Landau theory. The frequency and angular dependences of the complex-valued vortex mobility $\mu$ are studied.…

Condensed Matter · Physics 2009-10-28 A. S. Mel'nikov

We discuss the problem of broken time reversal symmetry near grain boundaries in a d-wave superconductor based on a Ginzburg-Landau theory. It is shown that such a state can lead to fractional vortices on the grain boundary. Both analytical…

Superconductivity · Physics 2009-10-28 D. Bailey , M. Sigrist , R. B. Laughlin

Abrikosov's solution of the linearized Ginzburg-Landau theory describing a periodic lattice of vortex lines in type-II superconductors at large inductions, is generalized to non-periodic vortex arrangements, e.g., to lattices with a vacancy…

Superconductivity · Physics 2008-06-09 Ernst Helmut Brandt

Time dependent Ginzburg-Landau equation is solved for type II superconductors numerically, and the dynamics of entering vortices, geometric defects and pinning effects have been investigated. A superconducting wire with ratchet defects is…

Superconductivity · Physics 2017-04-06 Dachuan Lu

We investigate the dynamics of magnetic vortices in type II superconductors with normal state pinning sites using the Ginzburg-Landau equations. Simulation results demonstrate hopping of vortices between pinning sites, influenced by…

Superconductivity · Physics 2017-06-14 M. P. Soerensen , N. F. Pedersen , M. Ogren

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

A new Green's function representation is employed in a microscopic derivation of a Ginzburg-Landau theory of strongly type superconductivity at high magnetic fields. An exact analytical, physically transparent expression for the quartic…

Superconductivity · Physics 2015-06-04 V. Zhuravlev , T. Maniv

We report on a Monte Carlo study of the lowest-Landau-level limit of the Lawrence-Doniach model for a layered superconductor. We have studied order parameter correlation functions for indications of the broken translational symmetry and the…

Superconductivity · Physics 2009-10-30 Jun Hu , A. H. MacDonald