Properties of Vortex Configurations in Two-Band Mesoscopic Superconductors With Josphson Coupling: The Ginzburg–Landau Theory

2021 ◽  
Author(s):  
Shunwei Yao ◽  
Lin Peng ◽  
Jia Lin ◽  
Jing Chen ◽  
Chuanbing Cai ◽  
...  
Keyword(s):  
Landau Theory ◽  
Ginzburg Landau ◽  
Mesoscopic Superconductors

Multiply Connected Mesoscopic Superconductors

2003 ◽  
Vol 17 (10n12) ◽  
pp. 527-536
Author(s):  
B. J. Baelus ◽  
F. M. Peeters
Keyword(s):  
Stationary Phase ◽  
Interaction Energy ◽  
Nonlinear Equations ◽  
Landau Theory ◽  
Sample Thickness ◽  
Phase Slip ◽  
Ginzburg Landau ◽  
Multiply Connected ◽  
Superconducting Ring ◽  
Mesoscopic Superconductors

Multiply connected mesoscopic superconductors are considered within the framework of the nonlinear Ginzburg–Landau theory. The two coupled nonlinear equations are solved numerically and we investigated the properties of a superconducting ring, two concentric rings, and an asymmetric ring. We find that (i) for a mesoscopic superconducting ring the flux through the hole is not quantized, (ii) two concentric mesoscopic superconducting rings are magnetically coupled and the interaction energy increases with increasing sample thickness, and (iii) in asymmetric rings, a stationary phase slip state is predicted.

scholarly journals Coupled mesoscopic superconductors:  Ginzburg-Landau theory

2002 ◽  
Vol 66 (2) ◽  
Author(s):  
B. J. Baelus ◽  
S. V. Yampolskii ◽  
F. M. Peeters
Keyword(s):  
Landau Theory ◽  
Ginzburg Landau ◽  
Mesoscopic Superconductors

scholarly journals Possible Alterations of Local Gravitational Field Inside a Superconductor

Entropy ◽  
2021 ◽  
Vol 23 (2) ◽  
pp. 193 ◽  
Author(s):  
Giovanni Alberto Ummarino ◽  
Antonio Gallerati
Keyword(s):  
Gravitational Field ◽  
Landau Theory ◽  
Time Dependent ◽  
Qualitative Comparison ◽  
Ginzburg Landau ◽  
High Tc ◽  
Gravitational Fields ◽  
Favorable Conditions

We calculate the possible interaction between a superconductor and the static Earth’s gravitational fields, making use of the gravito-Maxwell formalism combined with the time-dependent Ginzburg–Landau theory. We try to estimate which are the most favorable conditions to enhance the effect, optimizing the superconductor parameters characterizing the chosen sample. We also give a qualitative comparison of the behavior of high–Tc and classical low–Tc superconductors with respect to the gravity/superfluid interplay.

scholarly journals Different length scales for order parameters in two-gap superconductors: Extended Ginzburg-Landau theory

2011 ◽  
Vol 84 (6) ◽  
Author(s):  
L. Komendová ◽  
M. V. Milošević ◽  
A. A. Shanenko ◽  
F. M. Peeters
Keyword(s):  
Landau Theory ◽  
Order Parameters ◽  
Ginzburg Landau ◽  
Length Scales

Ginzburg–Landau theory of the Abrikosov vortex state near the upper critical field

1982 ◽  
Vol 60 (3) ◽  
pp. 299-303 ◽  
Author(s):  
A. E. Jacobs
Keyword(s):  
Critical Field ◽  
Landau Theory ◽  
Upper Critical Field ◽  
Vortex State ◽  
Quantization Condition ◽  
Abrikosov Vortex ◽  
Ginzburg Landau ◽  
Type Ii Superconductors ◽  
Flux Quantization ◽  
The Magnetic Field

A method which preserves the flux-quantization condition in all orders of perturbation theory is applied to the Ginzburg–Landau theory of type-II superconductors near the upper critical field. Expansions are obtained for the order parameter, the magnetic field, and the free energy; previous results are verified and extended to one higher order in Hc2 – Ha.

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