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In the presence of an external magnetic field, the low lying elementary excitations of a d-wave superconductor have quantized energy and their momenta are locked near the node direction. It is argued that these discrete states can most…

Superconductivity · Physics 2009-10-31 Boldizsar Janko

We show that while orbital magnetic field and disorder, acting individually weaken superconductivity, acting together they produce an intriguing evolution of a two-dimensional type-II s-wave superconductor. For weak disorder, the critical…

Superconductivity · Physics 2023-10-30 Anushree Datta , Anurag Banerjee , Nandini Trivedi , Amit Ghosal

In this work, we study the numerical approximation of minimizers of the Ginzburg-Landau free energy, a common model to describe the behavior of superconductors under magnetic fields. The unknowns are the order parameter, which characterizes…

Numerical Analysis · Mathematics 2026-01-29 Christian Döding , Benjamin Dörich , Patrick Henning

In Ginzburg-Landau Theory of superconductivity, the density and location of the superconducting electrons are measured by a complex-valued wave function, the order parameter. In this paper, when the intensity of the applied magnetic field…

Analysis of PDEs · Mathematics 2016-10-31 Ayman Kachmar

Explicit analytical expressions for conductivity of a superconducting film above and below critical temperature in an arbitrary electric field are derived in the frameworks of the time dependent Ginzburg-Landau theory. It is confirmed that…

Superconductivity · Physics 2021-01-05 T. M. Mishonov , A. M. Varonov , I. Chikina , A. A. Varlamov

The vortex state of mesoscopic three-dimensional superconductors is determined using a minimization procedure of the Ginzburg-Landau free energy. We obtain the vortex pattern for a mesoscopic superconducting sphere and find that vortex…

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

The pressure-temperature phase diagram of the orthorhombic ferromagnetic superconductor UCoGe was determined by resistivity measurements up to $10.5~$GPa. The Curie temperature $T_C$ is suppressed with pressure and vanishes at the critical…

Strongly Correlated Electrons · Physics 2016-09-14 Gael Bastien , Daniel Braithwaite , Dai Aoki , Georg Knebel , Jacques Flouquet

Equilibrium shape and orientation of vortex lattice are studied for an s-wave tetrahedral superconductor in the vicinity of the upper critical field. The phase diagram, which includes transitions between rhombic and rectangular lattices, is…

Superconductivity · Physics 2009-11-11 V. H. Dao , M. E. Zhitomirsky

A theory of critical fluctuations in extreme type-II superconductors subjected to a finite but weak external magnetic field is presented. It is shown that the standard Ginzburg-Landau representation of this problem can be recast, with help…

Condensed Matter · Physics 2009-10-31 Zlatko Tesanovic

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

Recent results about the coexistence of ferromagnetism and unconventional superconductivity with spin-triplet Cooper pairing are reviewed on the basis of the quasi-phenomenological Ginzburg-Landau theory. The superconductivity in the mixed…

Superconductivity · Physics 2007-05-23 Diana V. Shopova , Dimo I. Uzunov

We construct local minimizers to the Ginzburg-Landau functional of superconductivity whose number of vortices N is prescribed and blows up as the parameter epsilon, inverse of the Ginzburg-Landau parameter kappa, tends to zero. We treat the…

Analysis of PDEs · Mathematics 2011-09-12 Andres Contreras , Sylvia Serfaty

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

We study vortex pattern formation in thin ferromagnetic films under the action of strong spin-polarized currents. Considering the currents which are polarized along the normal of the film plane, we determine the critical current above which…

Strongly Correlated Electrons · Physics 2013-05-30 Yuri Gaididei , Oleksii M. Volkov , Volodymyr P. Kravchuk , Denis D. Sheka

Making use of the extended Ginzburg Landau theory, which includes the fourth order derivative term, we study the vortex state in a magnetic field parallel to the $ c$ axis. The vortex core structure is distorted due to this higher order…

Condensed Matter · Physics 2009-09-25 Jun'ichi Shiraishi , Mahito Kohmoto , Kazumi Maki

Vortices and vortex arrays have been used as a hallmark of superfluidity in rotated, ultracold Fermi gases. These superfluids can be described in terms of an effective field theory for a macroscopic wave function representing the field of…

Quantum Gases · Physics 2016-09-21 S. N. Klimin , J. Tempere , N. Verhelst , M. V. Milošević

We derive the Ginzburg-Landau free energy functional of color superconductivity in terms of the thermal diagrams of QCD in its perturbative region. The zero mode of the quadratic term coefficient yields the same transition temperature,…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ioannis Giannakis , Hai-cang Ren

Novel vortex structures are found when a thin superconducting film (SC) is covered with a lattice of out-of-plane magnetized magnetic dots (MDs). The stray magnetic field of the dots confines the vortices to the MD regions, surrounded by…

Superconductivity · Physics 2015-06-25 M. V. Milosevic , F. M. Peeters

Spin-orbit coupling (SOC) is known to play an important role in superconductor/ferromagnet heterostructures. Here we demonstrate that SOC results in the spontaneous generation of vortices in an \textit{s}-wave superconductor placed below a…

Superconductivity · Physics 2020-01-01 L. A. B. Olde Olthof , X. Montiel , J. W. A. Robinson , A. I. Buzdin

We study the Ginzburg-Landau model with a nonlocal quartic term as a simple phenomenological model for superconductors in the presence of coupling between the vortex lattice and the underlying crystal lattice. In mean-field theory, our…

Superconductivity · Physics 2009-10-28 Joonhyun Yeo , M. A. Moore