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Superconductivity for Type II superconductors in external magnetic fields of magnitude between the second and third critical fields is known to be restricted to a narrow boundary region. The profile of the superconducting order parameter in…

Spectral Theory · Mathematics 2010-05-27 Søren Fournais , Bernard Helffer , Mikael Persson

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

In the above mentioned letter by Wang et al. [Phys. Rev. Lett, 95, 247002 (2005)], magnetization measurements on two Bi_2Sr_2caCu_2O_8+delta samples are reported. They claim that these experimental results support the vortex scenario for…

Superconductivity · Physics 2015-06-25 L. Cabo , J. Mosqueira , F. Vidal

We study energy minimizers of the Ginzburg-Landau (GL) free energy, a fundamental model of superconductivity. We address the high-$\kappa$ regime, the regime of a large GL parameter, in which energy minimizers exhibit vortex structures…

Numerical Analysis · Mathematics 2026-03-23 Christian Döding

At high magnetic field, the semiclassical approximation which underlies the Ginzburg-Landau (GL) theory of the mixed state of type II superconductors breaks down. In a quasi-1D superconductor (weakly coupled chains system) with an {\it open…

Condensed Matter · Physics 2009-10-22 N. Dupuis

We investigate the vortex state in a two-band superconductor with strong intraband and weak interband electronic scattering rates. Coupled Usadel equations are solved numerically and the distributions of the pair potentials and local…

Superconductivity · Physics 2009-11-07 A. E. Koshelev , A. A. Golubov

Emergence of odd-frequency s-wave superconductivity is demonstrated in the two-channel Kondo lattice by means of the dynamical mean-field theory combined with the continuous-time quantum Monte Carlo method. Around half filling of the…

Strongly Correlated Electrons · Physics 2014-05-02 Shintaro Hoshino , Yoshio Kuramoto

The Ginzburg-Landau model is a phenomenological description of superconductivity. A crucial feature of type-II superconductors is the occurrence of vortices, which appear above a certain value of the applied magnetic field called the first…

Analysis of PDEs · Mathematics 2019-02-05 Carlos Román

The vortex-vortex interaction potential in bulk superconductors is calculated within the Ginzburg-Landau (GL) theory and is obtained from a numerical solution of a set of two coupled non-linear GL differential equations for the vector…

Superconductivity · Physics 2015-05-19 Andrey Chaves , F. M. Peeters , G. A. Farias , M. Milošević

The critical properties of a type-II superconductor model are investigated using a dual vortex representation. Computing the propagators of gauge field $\vec{A}$ and dual gauge field $\vec{h}$ in terms of a vortex correlation function, we…

Superconductivity · Physics 2009-10-31 J. Hove , A. Sudbo

Vortices carrying fractions of a flux quantum are predicted to exist in multiband superconductors, where vortex core can split between multiple band-specific components of the superconducting condensate. Using the two-component…

Superconductivity · Physics 2015-07-22 R. M. da Silva , M. V. Milošević , D. Domínguez , F. M. Peeters , J. Albino Aguiar

The recently proposed theoretical model of superconductors endowed with two distinct superconducting phases and critical temperatures is further analyzed by introducing two distinct order parameters, described by two scalar fields which…

Superconductivity · Physics 2009-11-13 E. Di Grezia , S. Esposito , G. Salesi

Holographic superfluids/superconductors are one of the most studied systems in the AdS/CFT duality. In the low-energy, in the long-wavelength limit, they should be described by a Ginzburg-Landau theory. For critical dynamics, one expects…

High Energy Physics - Theory · Physics 2026-05-21 Makoto Natsuume

A variational model is proposed to describe the magnetic properties of type-II superconductors in the entire field range between $H_{c1}$ and $H_{c2}$ for any values of the Ginzburg-Landau parameter $\kappa>1/\sqrt{2}$. The hexagonal unit…

Superconductivity · Physics 2009-10-31 W. V. Pogosov , K. I. Kugel , A. L. Rakhmanov , E. H. Brandt

It is shown that the superconducting intermetallic compound MgB2 possesses a narrow, partly filled "superconducting band" with Wannier functions of special symmetry in its band structure. This result corroborates previous observations about…

Superconductivity · Physics 2011-03-03 Ekkehard Krüger

The main stages of development of the theory of superconductivity in systems with overlapping energy bands are formulated. The main references on the classical papers of the author of this theory, Prof. Moskalenko V.A., and his coworkers…

Superconductivity · Physics 2007-05-23 M. E. Palistrant

Ginzburg-Landau expansion is derived for superconductors with the gap-function odd over $k-k_{F}$. It is shown that in this odd-gap case Ginzburg-Landau coefficients possess an additional dependence on the pairing coupling constant which…

Condensed Matter · Physics 2007-05-23 E. Z. Kuchinskii , A. I. Posazhennikova , M. V. Sadovskii

We derive the quasiclassical equations that describe two-dimensional superconductors with a large Rashba spin-orbit coupling and in the presence of impurities. These equations account for the helical phase induced by an in-plane magnetic…

Superconductivity · Physics 2015-07-31 Manuel Houzet , Julia S. Meyer

As was firstly shown by E. Bogomolny, the critical Ginzburg-Landay (GL) parameter kappa =1/sqrt{2} at which a superconductor changes its behavior from type-I to type-II, is the special highly degenerate point where Abrikosov vortices do not…

Superconductivity · Physics 2009-02-05 I. Luk'yanchuk

We formulate a spectral problem related to the onset of superconductivity for a generalized Ginzburg-Landau model, where the order parameter and the magnetic potential are defined in the whole space. This model is devoted to the `proximity…

Mathematical Physics · Physics 2007-06-14 Ayman Kachmar