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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 superconducting order parameter, it is shown that…

Superconductivity · Physics 2007-05-23 Claude de Calan , Flavio S. Nogueira

We solve the Ginzburg-Landau equation (GLE) for the mesoscopic superconducting thin film of the square shape in the magnetic field for the wide range of the Ginzburg-Landau parameter $0.05<\kappa_{eff}<\infty $. We found that the phase with…

Superconductivity · Physics 2007-05-23 V. V. Kabanov , T. Mertelj

The superconducting and magnetic properties of Nb/Pd_1-xFe_x/Nb triple layers with constant Nb layer thickness d_Nb=200 A and different interlayer thicknesses are investigated. The thickness dependence of the magnetization and of the…

Superconductivity · Physics 2016-08-31 M. Schoeck , C. Suergers , H. v. Loehneysen

The large N analysis of an extreme type II superconductor is revisited. It is found that the phase transition is of second-order in dimensions 4 < d < 6. For the physical dimension d=3 no sign of phase transition is found, contrary to early…

Superconductivity · Physics 2009-11-07 Claude de Calan , Adolfo P. C. Malbouisson , Flavio S. Nogueira

In the framework of the Ginzburg-Landau equation, the temperature dependence of the upper critical field of small ring-like superconductors is studied. At equilibrium small parts of the phase diagram show paramagnetism for width / radius…

Superconductivity · Physics 2009-11-07 C. Meyers

We study the critical behavior of magnetic thin films as a function of the film thickness. We use the ferromagnetic Ising model with the high-resolution multiple histogram Monte Carlo (MC) simulation. We show that though the 2D behavior…

Materials Science · Physics 2015-09-21 X. T. Pham Phu , V. Thanh Ngo , H. T. Diep

Superconductivity in the presence of a step magnetic field has been recently the focus of many works. This contribution examines the behavior of a two-dimensional superconducting domain, when superconductivity is lost in the whole domain…

Mathematical Physics · Physics 2020-10-28 Wafaa Assaad

A systematic treatment of the magnetic fluctuations effect on the properties of the normal-to-superconducting phase transition in a zero external magnetic field is given within the self-consistent approximation and the quasi-macroscopic…

Superconductivity · Physics 2007-05-23 D. V. Shopova , T. P. Todorov

This paper gives a complete description of the solutions of the one dimensional Ginzburg-Landau equations which model superconductivity phenomena in infinite slabs. We investigate this problem over the entire range of physically important…

Superconductivity · Physics 2009-10-31 Amandine Aftalion , William C. Troy

We present new estimates on the two-dimensional Ginzburg-Landau energy of a type-II superconductor in an applied magnetic field varying between the second and third critical fields. In this regime, superconductivity is restricted to a thin…

Mathematical Physics · Physics 2019-10-01 M. Correggi , N. Rougerie

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

We study thin films that host coexisting collinear $d$-wave altermagnetic and superconducting orders in the presence of an external magnetic field that fully penetrates the films. We use the Ginzburg-Landau functional to analyze the…

Superconductivity · Physics 2026-03-09 A. A. Mazanik , Rodrigo de las Heras , F. S. Bergeret

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

We study the Ginzburg-Landau model of superconductivity in three dimensions and for strong external magnetic fields. For magnetic field strengths above the phenomenologically defined second critical field it is known from Physics that…

Mathematical Physics · Physics 2011-10-20 S. Fournais , A. Kachmar , M. Persson

We investigate the effect of a ferromagnetic dot on a thin-film superconductor. We use a real-space method to solve the linearized Ginzburg-Landau equation in order to find the upper critical field, H_c_3. We show that H_c_3 is crucially…

Superconductivity · Physics 2009-10-31 Sa-Lin Cheng , H. A. Fertig

Solutions of Ginzburg-Landau eqns. coupled with three dimensional Maxwell eqns. reveal intriguing magnetic response of small superconducting particles, qualitatively different from the two dimensional approximation but in agreement with…

Superconductivity · Physics 2008-02-03 P. Singha Deo , V. A. Schweigert , F. M. Peeters , A. K. Geim

We consider the Ginzburg-Landau functional, defined on a two-dimensional simply connected domain with smooth boundary, in the situation when the applied magnetic field is piecewise constant with a jump discontinuity along a smooth curve. In…

Analysis of PDEs · Mathematics 2017-09-29 Wafaa Assaad , Ayman Kachmar , Mikael Persson-Sundqvist

In this paper we use a Ginzburg-Landau approach to show that a suitably strong electric field can drive a phase transition from a superconductor to a normal metal. The transition is induced by taking into account corrections to the…

In framework of Ginzburg-Landau model it is shown that narrow superconducting film with width w ~ 3-8 \xi(T) (\xi(T) is a temperature dependent coherence length) exhibits unusual transport properties. In the absence of bulk pinning its…

Superconductivity · Physics 2014-11-18 D. Y. Vodolazov

A new approach to the treatment of magnetic fluctuations in thin films of type I superconductors is introduced. Results for the dependence of free energy, specific heat and order parameter profile on the film thickness near the equilibrium…

Superconductivity · Physics 2009-11-10 D. V. Shopova , T. P. Todorov