scholarly journals Time-dependent Ginzburg-Landau equations for a two-component superconductor and the doping dependence of the relaxation times of the order parameters in YBa2Cu3O7-δ

2009 ◽  
Vol 150 (5) ◽  
pp. 052122 ◽  
Author(s):  
P Konsin ◽  
B Sorkin
Keyword(s):  
Relaxation Times ◽  
Order Parameters ◽  
Time Dependent ◽  
Ginzburg Landau ◽  
Doping Dependence ◽  
Two Component ◽  
Ginzburg Landau Equations

Sudden generation of anomalous anti-vortex states in a two-component superconductor

2020 ◽  
Vol 34 (31) ◽  
pp. 2050349
Author(s):  
C. A. Aguirre ◽  
Q. D. Martins ◽  
J. Barba-Ortega
Keyword(s):  
Vortex State ◽  
Time Dependent ◽  
Spontaneous Generation ◽  
Cooper Pairs ◽  
Inversion Symmetry ◽  
Ginzburg Landau ◽  
Two Component ◽  
Ginzburg Landau Equations ◽  
Geometrical Defects ◽  
Interesting Behavior

We studied the influences of the inclusion of different geometrical defects (circle, triangle, and square) with different Ginzburg–Landau parameters [Formula: see text] on the vortex state of a mesoscopic superconducting square immersed in an external applied magnetic field. We calculated the magnetization, vorticity, and density of Cooper pairs for this system, solving the time-dependent Ginzburg–Landau equations. We found a novel and interesting behavior of the vorticity [Formula: see text] at low magnetic fields: a spontaneous generation of anti-vortices due to the breaking inversion symmetry.

Geometric effect on the vortex configuration and motion in mesoscopic superconducting cylinders

2015 ◽  
Vol 29 (03) ◽  
pp. 1550009 ◽  
Author(s):  
Shan-Shan Wang ◽  
Guo-Qiao Zha
Keyword(s):  
Phase Transitions ◽  
Vortex Dynamics ◽  
Axial Symmetry ◽  
Time Dependent ◽  
Vortex Matter ◽  
Ginzburg Landau ◽  
Geometric Effect ◽  
Multiply Connected ◽  
Vortex States ◽  
Ginzburg Landau Equations

Based on the time-dependent Ginzburg–Landau equations, we study numerically the vortex configuration and motion in mesoscopic superconducting cylinders. We find that the effects of the geometric symmetry of the system and the noncircular multiply-connected boundaries can significantly influence the steady vortex states and the vortex matter moving. For the square cylindrical loops, the vortices can enter the superconducting region in multiples of 2 and the vortex configuration exhibits the axial symmetry along the square diagonal. Moreover, the vortex dynamics behavior exhibits more complications due to the existed centered hole, which can lead to the vortex entering from different edges and exiting into the hole at the phase transitions.

Time-dependent Ginzburg-Landau equations for a dirty gapless superconductor

1985 ◽  
Vol 32 (5) ◽  
pp. 2965-2975 ◽  
Author(s):  
Jerome J. Krempasky ◽  
Richard S. Thompson
Keyword(s):  
Time Dependent ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equations
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