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This study explores transitions between states with different winding number in two-band superconducting rings. From the time-dependent Ginzburg-Landau (TDGL) equations for two-component superconductors, we apply linear instability theory…

Superconductivity · Physics 2024-08-27 Leonardo R. Cadorim , Edson Sardella , Daniel Domínguez , Jorge Berger

We investigate how an externally imposed curvature influences lipid segregation on two-phase-coexistent membranes. We show that the bending-modulus contrast of the two phases and the curvature act together to yield a reduced effective line…

Soft Condensed Matter · Physics 2018-06-21 Fangfu Ye , Robin L. B. Selinger , Jonathan V. Selinger

Based on the self-consistent solution of a nonlinear system of one-dimensional GL-equations, the onset and destruction of superconductivity, the phase transitions and hysteresis phenomena are discussed for a cylinder (radius R) in an axial…

Superconductivity · Physics 2007-05-23 G. F. Zharkov

The excess Hall conductivity, resulting from thermal fluctuations of the superconducting order parameter, is calculated for a layered superconductor for an arbitrarily strong in-plane electric field and a perpendicular magnetic field in the…

Superconductivity · Physics 2009-11-10 I. Puica , W. Lang

We consider the full three-dimensional Ginzburg-Landau model of superconductivity with applied magnetic field, in the regime where the intensity of the applied field is close to the "first critical field" $H_{c_1}$ at which vortex filaments…

Analysis of PDEs · Mathematics 2023-06-28 Carlos Román , Etienne Sandier , Sylvia Serfaty

We develop a Ginzburg--Landau theory for superconducting thin films under quantum confinement. Starting from the microscopic BCS free energy and the recently developed confinement theory of metallic thin films, explicit analytical…

Superconductivity · Physics 2026-05-13 Giovanni A. Ummarino , Alessio Zaccone

The non-Ohmic effect of a high electric field on the out-of-plane magneto-conductivity of a layered superconductor near the superconducting transition is studied in the frame of the Langevin approach to the time-dependent Ginzburg-Landau…

Superconductivity · Physics 2009-11-11 I. Puica , W. Lang

Using Ginzburg-Landau formalism, we theoretically study the isothermal shear modulus anomaly of an unconventional superconductor with a multicomponent order parameter, when the superconducting transition is split by a symmetry-breaking…

Superconductivity · Physics 2021-07-21 Pye Ton How , Sung-Kit Yip

The electromagnetic properties of superconductors near a ferromagnetic instability are investigated by means of a generalized Ginzburg-Landau theory. It is found that the magnetic flux expulsion capability of the superconductor gets…

Superconductivity · Physics 2009-11-11 Qi Li , D. Belitz , T. R. Kirkpatrick

Several field theoretical approaches to the superconducting phase transition are discussed. Emphasis is given to theories of scaling and renormalization group in the context of the Ginzburg-Landau theory and its variants. Also discussed is…

Superconductivity · Physics 2016-11-23 Flavio S. Nogueira , Hagen Kleinert

We study the patterns at which the current flow stabilizes in a 1D superconducting wire, for various experimentally reasonable boundary conditions, for small fixed current densities and temperatures close to $T_c$. We pay special attention…

Superconductivity · Physics 2015-08-26 Jorge Berger

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

Vortex structures in mesoscopic cylinder placed in external magnetic field are studied under the general de Gennes boundary condition for the order parameter corresponding to the suppression of surface superconductivity. The Ginzburg-Landau…

Superconductivity · Physics 2009-11-07 W. V. Pogosov

We study the flux-flow Hall effect and thermomagnetic transport near the upper critical field \hctwo\ in extreme type-II superconductors starting from a suitable generalization of the time dependent Ginzburg-Landau equations. We explicitly…

Condensed Matter · Physics 2009-10-22 Robert J. Troy , Alan T. Dorsey

We study the effect of a strong electric field on the fluctuation conductivity within the time-dependent Ginzburg-Landau theory for the case of arbitrary dimension. Our results are based on the analytical derivation of the velocity…

Superconductivity · Physics 2009-11-07 Todor Mishonov , Anna Posazhennikova , Joseph Indekeu

We explore the effects of sample dimensionality on vortex pinning in a type-II, low-$T_C$, s-wave superconductor, NbN, in the presence of a perpendicular magnetic field, $H$. We find significant differences in the phase diagrams in the…

Relying on our theoretical approach for the superconducting critical state problem in 3D magnetic field configurations, we present an exhaustive analysis of the electrodynamic response for the so-called longitudinal transport problem in the…

Superconductivity · Physics 2015-05-30 H. S. Ruiz , A. Badía-Majós , C. López

The dual approach to the Ginzburg-Landau theory of a Bardeen-Cooper-Schrieffer superconductor is reviewed. The dual theory describes a grand canonical ensemble of fluctuating closed magnetic vortices, of arbitrary length and shape, which…

Condensed Matter · Physics 2009-10-28 M. Kiometzis , H. Kleinert , A. M. J. Schakel

The energy of a type II superconductor placed in a strong non-uniform, smooth and signed magnetic field is displayed via a universal characteristic function defined by means of a simplified two dimensional Ginzburg-Landau functional. We…

Analysis of PDEs · Mathematics 2017-03-28 Ayman Kachmar , Marwa Nasrallah

The nucleation of the superconductive phase in macroscopic type-I foils in a slow, continuously decreasing perpendicular magnetic field is observed to first occur at the field $H_{c3}$, and reinitiate at $H_{c2}$. The observed variation of…

Superconductivity · Physics 2015-06-25 P. Valko , M. R. Gomes , TA Girard
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