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We investigate a three component fermion mixture in the presence of weak attractive interactions. We use a combination of the equation of motion and the Gaussian variational mean-field approaches, which both allow for simultaneous…

Quantum Gases · Physics 2016-12-13 M. Kanasz-Nagy , G. Zarand

We consider the Ginzburg-Landau energy for a type-I superconductor in the shape of an infinite three-dimensional slab, with two-dimensional periodicity, with an applied magnetic field which is uniform and perpendicular to the slab. We…

Analysis of PDEs · Mathematics 2015-07-06 Sergio Conti , Felix Otto , Sylvia Serfaty

Superconductors used in magnet technology could carry extreme currents because of their ability to keep the magnetic flux motionless. The dynamics of the magnetic flux interaction with superconductors is controlled by this property. The…

Accelerator Physics · Physics 2015-01-29 F Gömöry

We determine the energy of an interface between a multiband superconducting and a normal half-space, in presence of an applied magnetic field, based on a multiband Ginzburg-Landau (GL) approach. We obtain that the multiband surface energy…

Superconductivity · Physics 2023-05-24 Jonas Bekaert , Levie Bringmans , Milorad Milosevic

The gauge dependence of the renormalization group functions of the Ginzburg-Landau model is investigated. The analysis is done by means of the Ward-Takahashi identities. After defining the local superconducting order parameter, it is shown…

Superconductivity · Physics 2009-10-31 Claude de Calan , Flavio S. Nogueira

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

Isothermal magnetization curves are plotted as the magnetization times the magnetic induction, $4 \pi M \cdot B$, versus the applied field, H. We show here that this new curve is the average kinetic energy of the superconducting state…

Superconductivity · Physics 2009-11-07 Mauro M. Doria , S. Salem-Sugui , I. G. de Oliveira , L. Ghivelder , E. H. Brandt

We present a study of the magnetic response of Type-II superconductivity in the extreme pinning limit, where screening currents within an order of magnitude of the Ginzburg-Landau depairing critical current density develop upon the…

Superconductivity · Physics 2007-05-23 D. P. Young , M. Modovan , R. Prozorov , P. W. Adams

We study the evolution of the superconducting state in a perforated disk by varying the size of the hole. The superconducting properties are investigated by means of transport measurements around the superconducting/normal phase boundary…

Superconductivity · Physics 2007-05-23 M. Morelle , D. S. Golubovic , V. V. Moshchalkov

Within a Ginzburg-Landau formalism we establish analytically the necessary and sufficient conditions to realize a doubly degenerate superconducting ground state with broken time-reversal symmetry (BTRS) in a multi-band superconductor. Using…

Superconductivity · Physics 2017-12-05 Y. Yerin , A. Omelyanchouk , S. -L. Drechsler , D. V. Efremov , J. van den Brink

We study the properties of the phase transition in three dimensional U(1)+Higgs theory or Ginzburg-Landau model of superconductivity. Special attention is paid to large values of scalar self coupling (Type II superconductors), where the…

High Energy Physics - Lattice · Physics 2007-05-23 J. Peisa

It is expected that in the interior of compact stars a proton superconductor coexists with and couples to a neutron superfluid. Starting from a field-theoretical model for two complex scalar fields - one of which is electrically charged -…

High Energy Astrophysical Phenomena · Physics 2017-04-10 Alexander Haber , Andreas Schmitt

We study dynamics of the order parameter in a superconducting film with transport current after absorption of a single photon. The system from the time-dependent Ginszburg-Landau equation, Poisson's equation for an electrical potential and…

Superconductivity · Physics 2014-11-18 A. N. Zotova , D. Y. Vodolazov

When a superconducting sample is submitted to a sufficiently strong external magnetic field, the superconductivity of the material is lost. In this paper we prove that this effect does not, in general, take place at a unique value of the…

Spectral Theory · Mathematics 2015-06-19 Søren Fournais , Mikael Persson Sundqvist

The Ginzburg--Landau (GL) equations of superconductivity provide a computational model for the study of magnetic flux vortices in type-II superconductors. In this article we show through numerical examples and rigorous mathematical analysis…

Numerical Analysis · Mathematics 2025-10-20 H. G. Kaper , H. Nordborg

In this study, we present theoretical investigations of phase transitions and critical phenomena in materials through the lens of second-order Ginzburg-Landau theory, in conjunction with considerations of symmetry groups and thermal…

For a cylindrical superconductor surrounded by a normal material, we discuss transition to the normal phase of stable, locally stable and critical configurations. Associated with those phase transitions, we define critical magnetic fields…

Analysis of PDEs · Mathematics 2008-12-19 S. Fournais , A. Kachmar

We study the superheating field of a bulk superconductor within Ginzburg-Landau theory, which is valid near the critical temperature. We calculate, as functions of the Ginzburg-Landau parameter $\kappa$, the superheating field $\Hsh$ and…

Superconductivity · Physics 2011-03-14 Mark K. Transtrum , Gianluigi Catelani , James P. Sethna

We consider the 2D Landau Hamiltonian $H$ perturbed by a random alloy-type potential, and investigate the Lifshitz tails, i.e. the asymptotic behavior of the corresponding integrated density of states (IDS) near the edges in the spectrum of…

Mathematical Physics · Physics 2016-08-16 Frédéric Klopp , Georgi Raikov

Using the Ginzburg-Landau theory extended to the next-to-leading order we determine numerically the healing lengths of the two order parameters at the two-gap superconductor/normal metal interface. We demonstrate on several examples that…

Superconductivity · Physics 2011-08-26 L. Komendová , M. V. Milošević , A. A. Shanenko , F. M. Peeters
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